Showing posts with label Aristotelianism. Show all posts
Showing posts with label Aristotelianism. Show all posts

Jun 26, 2024

Scotist Perspectives on the Relationship between Being and the Ten Categories

 

One of the disagreements between the respective schools of the Thomists and Scotists is with regards to the proper signification that obtains between being as such as the ten categories of Aristotle. I seek to outline the views and arguments of the Scotist school in this article and give my opinion on the relevant questions. I decided to address the matters in this order: 1) the formal and objective concept of being; 2) The univocity and analogy of being; 3) Is being abstracted from its inferiors prior to the operation of the intellect? For each of these issues, I have also provided some of the important Thomist objections to them along with Scotist responses.


The Formal and Objective Concept of Being 

(Much of the Scotist position here is based on Crescentius Krisper's Philosophia scholae Scotisticae. I used authors such as Grenier, Poinsot, and Cajetan for representing the Thomist position). 

The Scotist position is that being has one formal and objective concept that can be abstracted from its inferiors, such as infinite and finite being, God and creatures, substance and accident, etc. Scotus defines a thing as univocal if it "is so one that its unity suffices for a contradiction, by affirming and denying it of the same thing. It also suffices for a syllogistic middle term, so that the extremes united in a middle term that is one in this way are concluded to be one among themselves, without the fallacy of equivocation." (Ordinatio, 1.3.1)

This is evident since in a created intellect which has concepts of which it is certain and concepts of which it is doubtful, the concept of which it certain is other and distinct from the doubtful ones. Therefore, a created intellect could know that something is a being without knowing whether it is created or uncreated, finite or infinite, substance or accident, etc.

Thomist Objection: If three men named Peter are in a dark room, and one of them slaps me, I know that it is a Peter who slapped me, but that does not mean that "Peter" in this case signifies a single formal concept common to the three men. Similarly, I may know that being expresses a concept, but doubt whether it is equivocal or univocal.

Scotist Response: In these cases, we don't know the ultimate formal concept by which we know the things that are being signified by the word "Peter", but this cannot be said of real being. Hence, these three Peters do still convey a common concept, namely the concept of man (rational animal). In the case of being, we should recognize that a concept can be had of a word without knowing how the concept relates to its significates. This does not apply to the case of being since the question here is about the most common universal concept of being as such.

The unity of a formal concept is taken either from the unity of an objective concept or from experience, as when upon the perception of a word (such as "man") we find that our intellect tends to one thing rather than another, which is a sign that there is one formal concept corresponding to that word.

 We can know that there is one objective concept of being by knowing that affirming and denying being as such of one and the same thing will result in a contradiction. 

Since being is contracted and divided (infinite and finite, substance and accident, etc.), there must be posited a thing which has a necessary connection with them, namely the ratio of the divisible and contractible. This is the objective concept of being.

Thomist Objection: If being were one formal and objective concept, it could be posited in a definition along with an inferior difference. However, Aristotle denies that this should be done in book 8 of the Metaphysics.

Scotist Response: Being is not posited in definitions on account of it being the greatest commonality. Definitions typically are made with reference to the most proximate genus. However, the antecedent is also false since we define substance as a "being which exists in itself and is the subject of accidents."

Thomist Objection: If there were one objective concept of being, then it would be either absolute (to itself) or relative (to something other). It could not be absolute since then it would not belong to relations, and it could not be relative since then it could not belong to the other nine accidents.

Scotist Response: It is neither absolute nor respective, but prescinded from both, as is clear in all universal rationes, such that animal is neither rational nor irrational, although it is really and identically such.


As you can already probably tell, I lean more towards the Scotist position here. It is plain from intellectual experience that one can abstract a common concept of being qua being from all its inferiors.


The Univocity and Analogy of Being

The Scotist position is that being is univocal with respect to God and creation, substance and accident, etc. The Thomist view is that there is analogy of proper proportion between God and creatures when being is ascribed to each of them respectively. I will begin with some arguments in favor of the Scotist position. Once again, this material is based on writers such as Bartholomew Mastrius and Crescentius Krisper.

1) The intellect can consider substance and accident, and abstract from them that in which they agree, and leave aside that in which they differ. But they agree in being, therefore there is a unified concept between them.

2) The nature of being is something indeterminate in the mode of being. We know that something has being without knowing whether it is in itself (substance) or in another (accident). Similarly, we can know a thing has being without knowing whether it is finite (created) or infinite (God). 

3) If two things are related to each other in such a way that whatever belongs to one of them insofar as it is such, also belongs to the other insofar as it is such, then there is some formal unitary nature between them. Whatever belongs to God insofar as He is being, also belongs to a creature insofar as it is being. An example would be that being nothing is repugnant to the creature insofar as it being, which is also the case with God.

4) Whenever a definition is given with both something common and something contracting and differentiating, that common belongs to something to which the contracting does not belong. A creature is defined through being and something contracting, therefore being belongs to something which is repugnant to the contracting thing. Contracting is repugnant only to God, therefore being belongs to God.

5) It may be demonstrated that being is univocal by noting that something that is equivocal cannot result in a contradiction. For example, it is not contradictory to say "Every dog runs" and "this dog does not run." But it is contradictory to say "Every being is unlimited" and "This being is not unlimited." Thus, there is a common concept of being between them.

6) A negation does not deny more than the contradictory affirmation affirms. But "nothing" or "non-being" denies not only finite and created being, but also infinite being. Therefore being, contradictorily opposed to non-being, implies something that is common to all being.

Thomist Objection: When comparing two things, it is not necessary that they have a strict that is one between them. It is sufficient for there to be a proportional unity. For example, a flowering meadow is often compared to a laughing man insofar as laughter in a man proceeds from his inner joy just as a meadow is luxuriating in its beauty and loveliness. When God and creatures are compared in being, this does not necessarily mean that there is one univocal concept between them, but rather a proportional unity.

Scotist Response: Every proportional unity will to some degree diminish the propriety and perfection of the formality. Since a creature has being with all propriety through the formal ratio of being as such, there must be a greater unity between God and creatures than a mere proportion. Anything that is a being through proportion is not a being absolutely, but only in that certain respect of proportionality. But creatures are being absolutely in the formal aspect of being, thus it is not a mere proportional unity.

For the Scotists, when it said that God is "above being," this only means that the formal concept of being is in Him in the most eminent and perfect way, not that there is no common concept. The superlative or comparative things attributed to be God (as when He is said to be "most wise" or "most merciful") indeed presuppose some common concept(s) of wisdom and mercy. 

Thomist Objection: God and creature do not agree in the most common concept of being, since being in creatures is participated, while in God it is not. It will not work to say that this notion of being is prescinded from participated and unparticipated, since the notion itself must be either participated or unparticipated. Furthermore, if being could be prescinded from singularity and being unparticipated, it would that something which is in God (being) could not be God, since it could be participated in and of itself. 

Scotist Response: The reality of being according to what exists in God and creatures themselves is not distinct from them on the part of the thing and therefore is not contracted into finite and infinite. However, being can be prescinded from these things insofar as it is a common concept abstracted in the intellect from God and creatures inadequately conceived. 

"for nothing can be conceived in God existing on the part of the thing, which is outside uncreated and unparticipated being , positively or negatively, nor anything in the creature, which is outside created and participated being, therefore there cannot be given on the part of the thing a common reality to them through indifference, or through inexistence, which abstracts from those rationes, but only a common concept immediately abstracted from the realities of God and creature inadequately known." (Bartholomew Mastrius)


A concept can be univocal in three ways:

1) Physically Univocal - One which expresses a unity of name corresponding to a unity of the thing in reality which is not further divisible. 

2) Metaphysically Univocal - This type is fitting to a concept abstracted from thing which are not univocal by physical univocity. 

3) Logically Univocal - This type is fitting to a reality abstracted in the second intention as a universal.


We can further distinguish four different grades of univocity:

1) When the common notion corresponding to a common name exists in the inferiors according to the same mode of being, the same essential order, and the same grade of perfection. An example of this type of univocity is the way a species descends to its individuals.

2) When the common notion is participated in according to the same mode of being and essential order, but not according to the essential grade of perfection. In this way man participates in the genus of animal more perfectly than a horse since he has a more perfect contracting principle.

3) When the common noting is participated according to the same mode of being, but not according to the same order or grade of perfection

4) When the common notion is participated according to diverse modes of being, and diverse grades of order and perfection

It is not required for univocation that the common ratio be equally participated in by all of the inferiors.

Scotists confess a univocity of being between God and creatures but with a mixture of analogy (specifically, a type of analogy of attribution). In this case, being is univocal in the fourth grade as it is participated according to diverse modes of being, grades of order, and perfection (in God, being is pure and unparticipated, while in creatures it is finite and participated). In order to avoid the idea that God is contained in a genus, we must distinguish between the general concept or notion which is attributed to God and creatures (in an imperfect concept), and the special mode through which the concept is predicated of God and creatures in infinitely different ways.

If there is inequality in the descent of the common concept to its inferiors, then this is sufficient to constitute analogy. 

 As said earlier, this Scotist notion of univocity between God and creatures is balanced out by an analogy of attribution, with the intrinsic agreement of the form in the analogates, but still with participation and dependence on God. 

This analogy, however, does not mean that creatures have this relation to God under the most common and abstract concept of being, since under this abstraction a creature is not considered as finite but merely as existing outside nothing. 

When we say that being is contracted to God before it is contracted to a creature, this does not mean that in conceiving a common concept of being, our cognition tends to God before creatures, but only that being in creatures ex natura rei ultimately depends on God. 

Objection: For a thing to be univocal, it must be participated in equally by its inferiors. But being is infinite in God and finite in creatures. Ergo, etc.

Scotist Response: It is not required for univocity for there to be same order and essential grade of perfection in the inferiors. Indeed, the reasoning of this argument, if true, would lead to the absurd conclusion that animal cannot be predicated univocally and man and beasts, since there is an unequal participation between them in the common ratio. Furthermore, this univocity being debated is not in reality ex natura rei, but as it is prescinded in the intellect. Similarly, the ten categories are not so distant from each other that they cannot agree in a common notion of finite being. Such is also the case with God and creatures, that though they differ in their grades of being, they can still agree in the common concept of transcendental being.

Is Being Abstracted from its inferiors prior to the operation of the intellect?

Mastrius teaches that with respect to substance and accident, their common concept of being is abstracted ex natura rei. But this is not the case with respect to God and creatures. Thus we have the Scotist of doctrine of being as perfectly prescinded from its inferiors.

This is clear since being functions as a genus with respect to substance and accident, since both types are under the genus of finite being (not transcendental being). Therefore, this a common concept of being abstracted from ex natura rei

"A concept is said to be perfectly prescinded from its inferiors when it abstracts from them in such a way, either from the nature of the thing or at least through the intellect with the foundation of the thing, that it only expresses a certain degree of superiority in which the notions of the inferiors are in no way, either implicitly or explicitly, reflected." (Crescentius Krisper) 

Objection: For a thing to be perfectly prescinded from its inferiors, two conditions are required: 1) the two concepts must mutually exclude each other; 2) the concept of the superior is founded on a common nature found in the inferiors ex natura rei. Thus, even if being as a concept prescinds from its inferiors, the inferiors do not prescind from being. 

Scotist Response: To the first condition, it would then absurdly follow that no genus could prescind from its species because it is intrinsically included in them (as animality is included in the species of rational animals). 

If the concept of being were abstracted from God and creatures ex natura rei, it would follow that there is composition in God. This is because the common reality and the contracting principle effect a metaphysical composition as potency and act.

Some Scotists (who disagreed with Mastrius on this question) respond that this will only result in a metaphysical composition when it is contracted through specific differences, but not in the case of intrinsic modes, since the entity and the mode are one adequate reality. On the contrary, the intrinsic mode of a thing does not constitute it in its quidditative being but presupposes it as constituted. It is crucial to note that Scotus does not see being as a genus and finititude/infinity as specific differences.

"The first principle of contracting a common reality to another particular under that common reality pertains to the quiddity and essence of that particular, and makes it essentially differ. Also because the principles of constituting and distinguishing are the same for the Metaphysician, since therefore intrinsic modes are not the first constitutives of God and creatures, consequently they were not the first distinctive principles of them." (Bartholomew Mastrius, Cursus Philosophiae ad mentem Scoti, Disp. 2, Q. 4, art. 1)

On the part of God and creatures, the concept of being ex natura rei is abstracted secondarily and a posteriori. If it were abstracted ex natura rei in priority, then it follow that there is something prior to God. This is because the thing constituting is prior to the thing constituted. 

The foundation of this transcendental similitude between God and creatures in the intellect is that both God and creatures can cause a common concept of being in the intellect. 

Being is contracted to God and creatures through intrinsic modes, rather than a specific difference. If it were contracted to God through a specific difference, the divine simplicity would be destroyed by a metaphysical composition of the contractible and the contracted (for the difference is a reality other than the genus which it contracts). But a mode is a degree of the determinable reality, not a distinct reality from that of which it is the mode.

Objection: That which contracts being is either being or non-being. Not the first, because then it could contract itself. If it is contracted through a mode, rather than a difference, then this is basically the same as saying that being is contracted through itself.

Scotist Response: That which contracts being is being really and identically, but not formally. The contraction of being is not by way of addition (as of part to part), but being as such is so indeterminate that it descends into the inferiors by itself without any addition. The modes of being are not being from themselves, but being by reason of that which they contract. In contracting it, it receives being qua being, insofar as there is an identity between the the contracting and the contracted in the constituted thing. 







Jun 4, 2024

Aristotle, Thomism, and Duns Scotus on Quantity, Place, and Bodily Presence

 

[This article is part of a series of posts comprising a critique of Lutheran Christology, and the doctrine of ubiquity in particular]

[I provide full citations for each quote to make citations elsewhere easier for myself and other readers]

Aristotle on Place

In book 4 of his Physics, Aristotle expounds his theory of place and how bodies are circumscribed and contained in their respective locations. 

I have tried to condense and boil down Aristotle’s view of place and location to a number of key citations from this section of his writings:

“When, therefore, another body occupies this same place, the place is thought to be different from all the bodies that come to be in it and replace one another.” (Aristotle, Physics, 4.1, 208b5)

“When what surrounds, then, is not separate from the thing, but is in continuity with it, the thing is said to be in what surrounds it, not in the sense of in place, but as a part in a whole.” (Aristotle, Physics, 4.4, 211a29-30)

“If then a body has another body outside it and containing it, it is in place, and if not, not.” (Aristotle, Physics, 4.5, 212a)

“Some things are per se in place, namely every body which is movable either by way of locomotion or by way of increase is per se somewhere, but the heaven, as has been said,' is not anywhere as a whole, nor in any [ro] place, if at least, as we must suppose, no body contains it.” (Aristotle, Physics, 4.5, 212b)

“So, when you have a homogeneous substance which is continuous, the parts are potentially in place: when the parts are separated, but in contact, like a heap, they are actually in place.” (Aristotle, Physics, 4.5, 212b)

In metaphysics we distinguish intrinsic and extrinsic extension. Intrinsic extension is the order of the parts to other parts in a whole, and the order of all of the parts to the whole. Extrinsic extension should be defined as the position of the parts outside each other in a place. 

Aristotle notes that some philosophers try to conflate the place of a body with the extension of that body:

“The extension between the extremities is thought to be something, because what is contained and separate may often be changed while the container remains the same (as water may be poured from a vessel)—the assumption being that the extension is something over and above the body displaced.” (Aristotle, Physics, 4.6, 211b14)

Aquinas’ commentary on this passage explains exactly what the objection is: “It seems that place is some middle space between the boundaries of the containing body, as though there were something there besides the body moved from one place to another. For if nothing were there besides the contained body, it would follow either that place is not distinct from the thing in place or that what exists within the confines of the container’s boundaries cannot be place” (Thomas Aquinas, Commentary on Aristotle’s Physics, Book 4, ch. 6, n. 460)

Aristotle rejects the idea that extension and space are the proper definition of place. If there were some independent extension, then there would be an infinite number of places in the same spot. Once again, Aquinas shows how this faulty definition of place (reducing to the extension between the limits of a surface, such as a vessel containing water) will ultimately leads to this:

“If the dimensions of the space that is between the boundaries of the containing body are place, it follows that place can be transported. For it is clear that, when a body is transported, such as a jug, the space within the jug is transported, since that space can never be except where the jug is. Now, whatever is transported to another place is penetrated (according to those who hold the doctrine of space as place) by the dimensions of the space into which it is transported. Therefore, it follows that other dimensions enter the dimensions of the jug’s space; consequently, there would be another place of place, and many places would be existing together.” (Thomas Aquinas, Commentary on Aristotle’s Physics, Book IV, ch. 6, n. 462)


Contrary to the Lutherans, Aristotle viewed circumscription and external extension as essential and defining characteristics of a body:

“Body is what has extension in all directions” (Aristotle, Physics. 3.5, 204b20)

“Determined by surface is the definition of body.” (Aristotle, Physics, 3.5, 204b5)

“Now a continuum is that which is divisible into parts always capable of subdivision, and a body is that which is every way divisible. A magnitude if divisible one way is a line, if two ways a surface, and if three a body. Beyond these there is no other magnitude, because the three dimensions are all that there are, and that which is divisible in three directions is divisible in all.” (Aristotle, De Caelo, 1.1, 268a6-10)

In his paper on Aristotle’s view of bodies, Christian Pfeiffer agrees with this same conclusion (Christian Pfeiffer, “Aristotle on Being in the Same Place,” in ΣΩΜΑ: Körperkonzepte und körperliche Existenz in der antiken Philosophie und Literatur, ed. Thomas Buchheim, David Meißner and Nora Constanze Wachsmann [Hamburg: Felix Meiner, 2016], 365-368) that three-dimensional extension is the Aristotelian definition of body. 

I also agree with Pfeffer’s conclusion that Aristotle’s principle of non-coincidence (i.e., two bodies cannot be in the same place) is prior to his view of place as the immobile surface limit containing bodies. Perhaps the strongest piece of evidence in support for Pfeffer’s conclusion is that Aristotle uses the principle of non-coincidence to reject other theories of place, rather than using his theory of place to explain why two bodies cannot occupy the same place. For example, Aristotle says that place cannot be a body because then there would be two bodies in the same place (Physics, 4.1, 209a6-7)

Thomist Metaphysics on Quantity, Extension, Place, and Position


John of St. Thomas has an excellent discussion under four questions concerning the metaphysics of place. He first defines extrinsic place as “that body or surface which is circumscribed around and contains the thing located.” (John of St. Thomas, Cursus Philosophicus Thomisticus [Laurentius Arnaud, 1678], pg. 469) 

Motion occurs in place as in a term, namely the term “to which.” This is one of the reasons why we say that place is immobile, unlike a vessel, which can move with the body it contains. Place is immobile, because if it did move, it would move to another place. There would then be a place of a place (infinite regress).

Aristotle famously gave the analogy of a ship anchored in a flowing river. Even though the surface around the ship may be changing, we ought not say that its place is changing. Poinsot explains why: “Therefore, the ultimate surface, which corresponds to the located thing, contains and encompasses it as subordinate to the first locator and the surrounding, which is the sky. Thus, even though different surrounding surfaces may succeed the located thing, because they succeed in the same subordination to the first locator, namely the sky, it is said to remain the same place not according to the nature of the surface absolutely but as of the locator, from its subordination to the first locator, just as fire is said to remain the same even though one material is gradually consumed and another succeeds it because it always succeeds under the same order to the form.” (John of St. Thomas, Cursus Philosophicus Thomisticus [Laurentius Arnaud, 1678], pg. 471)


John Poinsot on “Where” (Ubi) - “Similarly, it cannot be understood that something is moved to a place unless it is changed in itself and subjected or applied to that place; this subjection and application at least implies a new relation to the place to which it is newly subjected, which did not exist in the body when it was not applied to such a place. However, a new relation requires a new proximate foundation, and this is the body itself considered in itself, for it is indifferent whether it is in this place or absent from it. Therefore, something is superadded to the body, and this we call "where," by which a body is affected by the mode of application and subjection to the externally circumscribing place, which is the place. Thus, from these two principles, namely from motion and the relation of conjunction or application to the place, we infer that "where" is given.” (John of St. Thomas, Cursus Philosophicus Thomisticus [Laurentius Arnaud, 1678], pg. 472)

What does Thomism say about the different types of presence? What definitions do they provide? It should be remembered that another important context in which medieval and early modern theologians and scholastic divines discuss metaphysical concepts such as place and location is angelology, in particular how angels (being immaterial separate substances) are said to be “in” this or that particular place and have the relation of ubi (where). To this area we turn to glean further insight into the Thomist metaphysics of location, place, and external extension.

Aquinas taught that angels are located in places through their operation and “touch of power”. (Commentary on the Sentences, I, d. 37, q. 3, a. 1; Summa Contra Gentiles, II.56; Summa Theologica, Part I, Q. 52, Art. 1). 

While bodies are located in place through the contact of their dimensional quantity, angels are in a place by an application of their power/operation. This way of thinking about angelic location was challenged by figures such as Henry of Ghent (who pled that he ultimately did not know to make sense of angels being present through their operations) and Duns Scotus, who argued that Aquinas’ teaching was prohibited by the Condemnations of 1277 in Paris. This research is based on the following paper: (Daniel D. Novotný & Tomáš Machula, “Ways of Angelic Location: 16th-Century Dominican Summistae on Summa Theologiae, I, Q. 52, art. 1,” in Summistae: The Commentary Tradition on Thomas Aquinas’ Summa Theologiae from the 15th to the 17th Centuries, ed. Lidia Lanza & Marco Toste [Leuven University Press, 2021], 283-315).


Cajetan addressed this issue by teaching that angels have a contact of power to a place, which is a relation of presence. He further gives four different foundations for the foundation of such a presence (none of which appear to solve the problem):

1) First Absolute Act - This refers to the substantial form of a thing or its non-relative accidental form. For angels, this would be quality. This cannot be a foundation for its operative presence (the phrase I will use from now on to describe angelic location) since the first absolute act and quality of angels are immaterial and separated from place. 

2) First Relative Act - The relative accidental form of a thing. This cannot be the foundation for angelic presence since a change in a relation flows from a change in something else, and it is difficult to see how this would apply to an angel. Since angels were created by God before the existence of the world, they did not simply begin to be place because the world exists. There must be something else which causes them to be located in this rather than that particular place.

3) Second Immanent Act - The actual exercise of a power of thing that remains within the agent (examples would be volition and cognition). Angels cannot have this since they don’t exist in places simply by thinking about them

4) Second Transient Act - The actual exercise of a power of thing terminates outside the agent. These types of acts presuppose circumscriptive change through local motion, which does not apply to angels since they are immaterial separated substances.


Cajetan distinguishes a few different types of presence (Commentaria in Summam Theologicam Angelici Doctoris Sancti Thomae Aquinatis (Joseph Van In: H. Prosper, 1892), I:423):

Circumscriptive Presence: the dimensions of the quantitative parts of the placed thing are commensurate and equal to the dimensive quantity of the place which contains that thing.

Definitive Presence: the placed thing is definitely present here and not there. This type of presence is subdivided by Cajetan:

1) Substantial Presence: the placed thing is formally present (not in virtue of accidents).
2) Causal Presence - the placed thing is causally related to the place.
3) Ordering Presence- a proportion between an agent and a patient (action-passion relation).
4) Approximating Presence - A relation of immediate proximity of an agent to a paint preceding the action in the order of nature. 
5) Operational Presence - immediate relation of agent and patient


Cajetan gives the analogy of a sailor and his ship to illustrate these types of causal presence:

“These three modes of [causal] presence can be made clear with the example of a sailor and a ship. The sailor is first present to the ship by the presence of the order that exists between his own power and the ship, insofar as it is directible by him. Then it is present by virtue of the presence of approximation, because by nature he is understood to be there first, before he operates. Third, the sailor is present by actual operation, whether this relation of presence, which concurs with the operation, is the same as that of moving to the moved, whether it is distinguished from that, as it was said.” (quoted by Novotny & Machula, pg. 292)

Cajetan says that some of these types of presence are problematic, namely substantial [definitive] presence and approximating [definitive] presence. Cajetan rejects this particular concept of substantial presence since while (he claims) it is possible for a substance to be in a place without a quantity, there is no foundation for this:

“And on the affirmative side of substantial presence, the reasoning is strongest because such presence is not impossible: since it does not imply a contradiction for a substance to be present in a place in such a way. Therefore, it must be considered in this difficult question. The antecedent is explained not only as a possibility but as a fact, thus: a particular substance, for example, this earth, located in this place, for example, in this vessel, if its quantity were separated from it by intellect, nevertheless, it would still be in this vessel in such a way that it is not elsewhere, which constitutes having a relation of substantial presence to this place. Thus, substantial presence is given, by which an indivisible substance is present in a place, excluding any relation of active to passive, or vice versa. On the negative side, however, this position is not intelligible. For every relation, whether intrinsic or extrinsic, requires some foundation, but such a relation of substantial presence has no foundation; therefore, it is fictitious to posit it.” (Cardinal Cajetan, Commentaria in Summam Theologicam Angelici Doctoris Sancti Thomae Aquinatis (Joseph Van In: H. Prosper, 1892), I:424)

This above comment from Cajetan is quite interesting given how he defends transubstantiation and a bodily multi-location of Christ without a dual circumscription

Cajetan’s main problem with the notion of an approximating presence is that it usually just reduces down to either circumscriptive, casual, or ordering presence. 

Back to the subject of angelic presence, Cajetan considers three different aspects of the Thomist view:

1) The reason for being in a place: Angels are located by their quantity of power. For the ordering presence of an angel in a place, the angelic substance cancels any distance from the given place, the intellect of the angel prepares the operation, the power is ready for the operation, and its will is determined to carry out the operation. 

2) The thing that exists in a place: Angels are present in places as substances, but not by virtue of that substance. 

3) The modes of closeness/distance: Angels are close/distant not per se, but per accidens through the body in which they are. 

Finally, Cajetan distinguishes complete and incomplete presence to solve the problem of angels who are not operating. His solution may be formulated as follows: “The ordering presence of an angel, whereby it is incompletely in a place, is prevenient to the operational presence, whereby it is completely present.” (Daniel D. Novotný & Tomáš Machula, “Ways of Angelic Location: 16th-Century Dominican Summistae on Summa Theologiae, I, Q. 52, art. 1,” in Summistae: The Commentary Tradition on Thomas Aquinas’ Summa Theologiae from the 15th to the 17th Centuries, ed. Lidia Lanza & Marco Toste [Leuven University Press, 2021], pg. 299)

Duns Scotus on Quantity, Extension, and Place


A body’s extension is very much related to the space which it occupies. However, Scotus says we should not confuse or conflate the extension of the space occupied by the body with the extension of the body itself. The latter pertains to quantity, while the former pertains to place. 

For Scotus, extension entails the relation and order of parts in a whole, such that each individual part exists outside the other parts. He says that “It is not easy to understand how something could be a quantum with dimensions unless we can designate, in the whole, an order of this part to that part according to quantity or position between the two……Part outside part…..is required for the position which is a difference of quantity, if ‘outside’ refers just to the parts of the body. (Ordinatio, 4.10.1, n. 14, 17). 


Like Aristotle, Scotus accepts that a quantum is only potentially (not actually) infinitely divisible (Richard Cross, The Physics of Duns Scotus [Clarendon Press: Oxford, 1998], pg. 117).

For Scotus, for a body to be “in a place”, it must fulfill the following relational properties (Ordinatio, 2.2.2):

1) being wholly enclosed by a body - The enclosing surface is two-dimensional. It surrounds the body rather than penetrating through it, and that ‘place’ is immobile: “Place is immovable per se and per accidens locally – however it is corruptible when the subject is moved locally, because then that idea of place does not remain in it; and yet it is not corruptible in itself and by equivalence, because necessarily there succeeds to that body, in which was that idea of place, another body, in which is another idea of place numerically from the preceding one, yet the same as the preceding one according to equivalence in comparison to local motion.” (Ordinatio, 2.2.2)

2) being enclosed by a body - A place is really distinct from the body it locates. If a body surrounds another body, then the sides of the surrounding body will be separate from each other. 

3) being enclosed by a body of actual size - A body necessarily requires a place equal to itself. 

4) being enclosed by a commensurable body - “for a body to be commensurable with its place is for its parts to correspond to the parts of the surface of the body b2 surrounding b1.” (Richard Cross, The Physics of Duns Scotus, pg. 196) 

In Scotus’ metaphysics, “for a body b1 to have position is for its parts to correspond to the parts of the surface of the body b2 surrounding [body] b1.” (Richard Cross, The Physics of Duns Scotus [Clarendon Press: Oxford, 1998], pg. 194). 

Scotus develops his concepts of ubiety and position as follows: “[The relation] which ubiety is primarily is of a whole [circumscribed item] to the whole of the circumscribing item; but position, which is said [to be] another genus, add [to ubiety] a relation of the parts to the parts.” (Ordinatio, 4.10.1, as quoted in Cross, 197)


Scotus teaches that a body can have ubiety without position. 

“The dimensions of what is localized are prior to the dimensions of its locale [place].” (Duns Scotus, Reportatio IV-A, Dist. 10, Q.3, n. 66)

Scotus believed that it is possible through divine power for a body to be in two places at once - “it is not necessary that something located in place be commensurate with the dimensions of place according as [the place] is one and many, so that according to the multitude of the dimensions of place there follows a multitude of the dimensions of the placed thing; just as neither does a multitude in what is prior follow on a multitude in what is posterior, especially as to an extrinsic respect and foundation.” (Ordinatio, lib. 4, dist. 10, q. 2, n. 144)

In Ordinatio 4.10.2, Scotus argued that quantitative position is essential to a quantified body, but that categorial position (an order of parts to a place by way of commensuration) is not essential to quantified bodies, since categorial position is an external real relation of presence. Scotus teaches that “God could make an organic body (whose parts have quantitative position in relation to the whole and to one another) exist outside the Aristotelian universe and so apart from any containing surfaces.”

To defend this metaphysical position, Scotus poses a simple proposition to argue from: “if a nature is contingently related to each form of another genus taken absolutely, then it is contingently related to the whole genus” (Ordinatio, lib. 4, dist. 10, q. 1, n. 64). Bodies are contingently related to their particular location (such as me being contingently located in the United States), and therefore are contingent. 

Richard Cross rightly rejects Scotus’ position here (The Physics of Duns Scotus, pg. 199). Scotus’ idea could infer that a person being contingently 5 and half feet tall means that it is contingent (and therefore possible) for them not to have any height at all, which is absurd. 

For Scotus, “Christ’s body is present in the Eucharist in the [second] way: the whole bears a presence relation to the whole place, but its parts do not bear presence relations to the parts of the place. Accordingly, Christ’s Body coexists with the place and with the bread accidents in the place, but is not coextensive with the place or with the bread accidents in the place. It is thus really present but lacks situational or categorical presence.” (Marilyn Adams, Some Later Medieval Theories of the Eucharist: Thomas Aquinas, Giles of Rome, Duns Scotus, and William of Ockham [Oxford University Press, 2010], pg. 119)


In response to the argument that a body in two places would be simultaneously under two opposing substantial forms at once (the same piece of wood is burned in one place and not burned in another), Scotus says that a body’s substance and its absolute accidents (quantity and quality) are naturally prior to their external placement relations. Therefore, the substance, quantity, and quality of a body aren’t rendered numerically distinct or divided because of differing place relations. In the case of a wood in two places being both burnt and not burnt, Scotus would say that one of the forms would likely overpower the other, or both would combine as partial causes to produce a greater effect. This, of course, is based on the presupposition that “the relation between the agent, its action, and the body that exists in two places is of the same sort as [the relation that would exist between them] if the body existed in only one place.” (Reportatio IV-A, Dist. 10, Q.3, n. 89). For example, if a body were hungry in one place, it would be hungry in the other place as well, since hunger is an absolute form that exists in a body prior to its relation of ubi.

What about the human soul united to Christ’s body? If it is in multiple places at once, then wouldn’t Christ’s soul also be existing in different places simultaneously along with His human body? Scotus replies that the soul of Christ is in heaven and animates the substance of His body in any place in which it exists. In short, the properties which are in Christ’s body primarily (in heaven) are in other places concomitantly. 

Objection: If a body could be in multiple places at once, then the contrary relates of distance and proximity would exist in the same subject at once with respect to some third thing. For example, if the body of Christ exists in multiple locations, it could be both near to my hand (in the Eucharist) and distant from it (in heaven).

Scotus’ Response: “It is not incongruous for contrary relations to exist in one and the same thing incidentally or on different grounds. To the case at hand: some body can be at a distance [from another body] by virtue of one of its ‘wheres’, because this ‘where’ in it is a foundation of its distance from some other body; however, by virtue of the other of its ‘wheres’ it can be in proximity to some other body, because that other ‘where’ in it is a foundation of the relation of proximity to that [other body]; therefore, I concede, it is simultaneously at a distance and in proximity—nor is this incongruous, nor includes a contradiction, [being] in respect to different things.” (Duns Scotus, Reportatio IV-A, Dist. 10, Q. 3, n. 114)


“Scotus’s distanciation from Aristotelian teaching is equally manifest with respect to the thesis of the immobility of place, a thesis which clashed starkly with Aristotle’s theory of the contiguity of the place with the contained body (place being defined as ‘the innermost motionless boundary of the container’)......The question thus becomes how to safeguard the immobility of the place when, as a container, it becomes mobile? In his response, Scotus shows awareness of other solutions to this problem advanced by previous authors…..Scotus finds the Thomist solution unconvincing and in its place propounds a thesis on the immobility of place which distances itself markedly from the Aristotelian position. For Scotus it is evident that, if a subject changes, its accidents change too. As the accident of a containing movable body, place cannot remain under any circumstance numerically the same – i.e. permanent and motionless. Likewise, it is of no avail to attempt to fix it by attaching it to an absolute and motionless place, for, insofar as it is merely a part of such a place and the accident of a movable subject, it will always remain movable. Its immobility must therefore be guaranteed by means other than the relation to another, supposedly motionless, place. That alternative means consists in conceiving the immobility of a place ‘in opposition to local movement’ and its incorruptibility ‘according to a relation of equivalence to local movement’. What does this mean? Put more simply, place is motionless by itself and by accident when considered at a specific instant. Thus, if a containing body moves, it is that body and not the place that is movable, because at the very instant when the containing body moves, its place, as an accident, also moves and is no longer the same. It is then the case not of the same movable place, but of another place which is – instantly – motionless. Furthermore, that same place is ‘incorruptible by equivalence’, for even if the place is destroyed by the movement of its subject, the place’s foundation remains the same throughout the succession of places by virtue of a relation of equivalence to local movement.” (Tiziana Suárez-Nani, “Angels, Space and Place: The Location of Separate Substances according to John Duns Scotus,” in Angels in Medieval Philosophical Inquiry: Their Function and Significance, ed. Isabel Iribarren & Martin Lenz [Ashgate Publishing Limited, 2008], pgs. 100-101)



Sep 25, 2023

John of St. Thomas (1589-1644): Do Forms Reduce to Prime Matter in Substantial Generation?

 

(The following is taken from John Poinsot, Cursus Philosophicus Thomisticus [Lyon: Laurentius Arnaud, Petrus Borde, Johannes, and Petrus Arnaud, 1678], pgs. 592-598)

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Article VI - Whether in substantial generation there is a resolution of every form down to prime matter.

To reduce prime matter to prime matter is the same as to remove every form, both substantial and accidental, when generation occurs. We inquire whether every form, both substantial and accidental, is taken away from matter when something new is introduced, in other words, whether the same accidents that were in the corrupted thing remain in the generated thing. However, we are not currently discussing the resolution of every substantial form, but we assume that matter is entirely stripped of substantial form when generation occurs because in a composite there are not multiple substantial forms, as we will show in question 1 of On the Soul. Therefore, when one substantial form is excluded so that another may be introduced, all preceding substantial forms are stripped away.

Therefore, the difficulty lies in the resolution of every accidental form. On the one hand, it seems that not all accidents can be corrupted, but they should remain at the moment of generation. This is because, at that instant, there should be dispositions that make the matter disposed and determined for this form rather than another. Otherwise, the matter would remain indifferent and undetermined for such a form. Similarly, the accidents that act as the generating agent's power should remain at that instant, as the generating agent is not conjoined with them. In that instant, generation must proceed from something that acts effectively, not from the generator, since, as we suppose, it is not there. Nor is it from the power of the generator, the heavens, or any other agent left behind because this power would be subject to change and exist in the thing that is corrupted. Therefore, if all accidents cease at that instant, that power also ceases. Moreover, there is a special consideration for some accidents that cannot be entirely separated from matter, such as quantity, which follows matter itself. Just as quality follows the form and through quantity, matter is divided and made divisible. It is assumed that at the moment of generation, undivided matter separated from other matter is postulated, having quantity by which this division takes place. This is especially relevant in humans, in whom quantity cannot be attributed except to matter alone since the form is spiritual. Therefore, the quantity of matter is not eliminated when a human is produced, and consequently, it seems that other accidents that are subject to the substance through quantity are not removed. Finally, there is the difficulty regarding certain accidents that do not appear to belong to the generated thing unless they remain in the matter itself. For instance, we observe the same scar, the same black color, the same marks, etc., in a corpse. Sometimes, the heat remains within the viscera of a dead animal, which cannot be generated by its corrupting agent, especially when it is suffocated with water, as water cannot generate heat. Similarly, if an animal is lifted up, the new motion cannot be generated in the corpse because the corpse cannot produce it. Such a generative principle is absent, as the generator does not possess impulsive force since it is not living. Therefore, these accidents are not separated from the matter itself, nor are similar accidents produced, as there is no cause from which they could originate. 

John of St. Thomas (Poinsot)

On the other hand, two well-known principles in the works of Saint Thomas Aquinas contradict this view. First, accidents are subject to the whole, and when the whole perishes, accidents also perish. Second, matter receives a substantial form before receiving an accidental form. Therefore, when the substantial form is removed, all previously received accidents are also removed. Otherwise, some accidents would remain immediately received in the matter before the substantial form.

Hence, this difficulty mainly depends on another one to be discussed later: question 9, namely, whether the subject of accidents is only matter or the composite itself. Those who hold that matter is the immediate subject of accidents consequently argue that it is not necessary to dissolve all accidents in the introduction of the substantial form. This view is advocated by Francisco Suárez in Disputation 14, Metaphysics, Section 3. He cites many ancient philosophers and refers to the position of the University of Coimbra in Book 1, De Generatione, Chapter 4, Question 18, Article 1, especially by prominent figures like Gabriel, Ockham, and Gregory. It might also seem that Murcia shares this view in Disputation 1, De Generatione, Question 5, and others among more recent philosophers.

Nevertheless, the view of Saint Thomas Aquinas is that in substantial generation, accidents should be resolved, so that nothing that existed in the corrupt is left in the generated, but rather newly produced. This is clear from Saint Thomas himself in his First Part, Question 76, where he says, "It is impossible for any accidental disposition to fall in between the body and the soul or between any substantial form and its matter." He supports this argument immediately afterward. The same doctrine can be found in Book 1 of De Generatione, Lecture 10, where he says, "The accident of the same species does not remain, but what was there before is corrupted by the accidental corruption of the subject, and a similar accident, following the form, arrives anew." A similar sentiment can be found in questions concerning spiritual creatures, Article 3, Reply to Objection 1, and in questions concerning the soul, Article 9, Reply to Objection 5. Thomists, including Cajetan, Soncin, Capreolus, Báñez, and others, generally follow this view. They are cited and followed by the University of Coimbra in Book 1, De Generatione, Chapter 4, Question 18, Article 2, the Carmelites in Book 1, De Generatione, Disputation 3, Question 6, Fonseca in his Metaphysics, Book 5, Chapter 28, Question 20, Section 2.

The foundation for this view is twofold, as discussed above. The first point, that the entire composite and not just matter is the subject of accidents, should be demonstrated by us later, in question 9.

The second principle, as presented by Saint Thomas earlier, is that while matter is receptive of both substantial and accidental forms, it receives them in a certain order. This order arises because these forms are hierarchically related, with one essentially presupposing the other. For example, the vegetative level presupposes the sensitive, and the act of the intellect presupposes the potentiality of the intellect. Similarly, the accidental being presupposes substantial being, naturally coordinating with it and depending on it. Substantial being, however, is conferred by the substantial form.

To fully grasp this, we must distinguish between accidents that are properly passions and those that are common. If they are proper accidents, it is certain that they do not adhere to matter or unite with it except through the form because they do not suit matter unless they emanate from the form. They do not emanate from the form unless they are united to matter because they do not emanate from it unless it has existence. The form, when it is in matter, has existence because it either depends on it or is created in it. Therefore, it is prior for a form to exist in matter and give it existence than for accidents emanating from it to remain in matter. Consequently, when heat is produced in fire, it cannot be the same as what was in the wood when it was being prepared for the fire because the heat emanates from the introduced form of fire.

However, if the accidents are common or can be called common because although they emanate from the form, they emanate according to a common grade, not according to the ultimate difference, as quantity emanates from the degree of the body, which is common to all elements, whether simple or mixed. The same reasoning applies to these accidents as to the proper ones because, as St. Thomas Aquinas points out in Part 1, Question 78, Article 6, just as different degrees of the same form are given, so each genus or degree of form has its own proper accidents. Therefore, if these accidents emanate as mentioned and follow this line of reasoning, they necessarily presuppose the form in matter, so they emanate from it, rather than being placed in matter before the substantial form to which the immediate order of matter pertains because matter is the potentiality for the substantial form and, therefore, immediately pertains to the substantial act. Thus, if dispositions that are required by their nature and that determine matter are not received in it before the form, much less can accidents that are not essentially connected with matter be received. Moreover, the relationship of matter to the substantial form is immediate and essential before it regards the accidental form. Matter is the potentiality for the substantial form, and its immediate corresponding act should be the substantial act. It is named and constituted as potentiality by its order to the act. Therefore, before the accidental, it should consider the substantial form as its primary intention, but it also pertains to the execution because what essentially and primarily determines the relationship is more quickly reached in execution than what is secondary since essence is constituted in execution and not only in intention, unlike what is secondary. Furthermore, since the accident depends on the substance in existing because the substance exists on its own, while the accident is non-existent and adherent, what comes first in the order of existence is also the first in the order of execution, not just in the order of intention. Execution regards the existence of the existent. If the substantial form gives substantial being to matter and consequently gives being in the order and line of existence, which is prior in adhering, then, in this order of execution, the substantial form must precede the accidental form. Therefore, because the accident depends on the substance in the order of existence, it strongly resembles dependence on the efficient cause, insofar as the efficient cause presupposes existence so that the effect depends on it. Thus, with His immediate efficiency, God can supply the actual dependence of the accident on the sustaining substance because in this regard, the efficient can do the same as the sustainer. Therefore, once the substantial form is removed, matter cannot retain accidents. Hence, accidents do not pass numerically from the corrupt to the generated because they do not immediately exist in matter.

You might argue that it suffices for supporting accidents to have partiality, which matter possesses. Therefore, you may say that even though it assigns a primary and essential order to the substantial form, matter is still sufficient to support accidents, especially those that emanate from it, like quantity or common accidents.

Secondly, the fact that accidents do not necessarily corrupt even though the form changes to a substantial one is because something else that equally sustains such an accident in existence is substituted in its place. This is why we said above that prime matter does not perish when a new form arrives, even though its existence changes, because something else equally gives existence to matter.

In response to the first point, it is argued that it is not sufficient for matter to have partial existence to support accidents. Firstly, because matter does not possess partial existence; rather, it receives existence solely from the form. This is because the form provides substantial existence and, therefore, the primary existence that underlies everything else. Otherwise, it would not be substantial. Consequently, matter does not presuppose something prior in itself. Secondly, even if it had partial existence, it still could not support accidents unless it depended on the whole or composite as if it were existing for something else. Thus, matter alone is the principle that sustains accidents as the "that." However, if the principle "that" is removed or destroyed without being replaced by another that fulfills all its functions, then the principle "that" neither acts nor receives. It is false that quantity emanates solely from matter since it emanates from the degree of corporeality provided by the form. We observe that quantities vary according to different forms. If the same quantity always inhered in matter, then accidents would be more closely and intensely united to the matter than the substantial form, which varies. However, matter essentially refers to the substantial form before referring to the accidental form.

Regarding the second point, it is said that an equivalent is not substituted for the accident because a different subject cannot contain the same accident numerically. This is because one natural cause does not entirely contain the effects of another, even in terms of complete individuation. Only the first cause can completely contain and supply everything due to the complete subordination of the secondary cause to the first cause in every aspect of being, as we discussed in Question 12 of Physics and will address in the following question. By this reasoning, God, as the sustainer of the accident outside the subject, preserves it numerically the same. However, with matter, when different forms are substituted, the same accident is preserved numerically because each form is inadequately regarded by matter and is capable of preserving it. On the other hand, the accident does not regard multiple subjects but is adequately sustained by one, thereby being individuated.

Regarding the first point about dispositions that determine matter and the efficiency of generation in the last instant, we will address this in the following article as it involves a specific difficulty.

In response to the second point, it is stated that quantity does not necessarily follow matter in a clinging and emanating manner. Instead, it follows matter as it exists under a form and acquires the degree of corporeality bestowed upon it by that form. Quantity is considered an essential accident of matter, just as quality is an accident of form. This is due to both similarity and generality.

Firstly, quantity is attributed to matter due to its similarity with matter's passive nature. In a similar manner, quantity is inherently non-active.

Secondly, it is attributed to matter due to its generality. Quantity is as general to matter as the degree of corporeality. No form of matter is found without corporeality, and none without quantity.

Regarding the statement that matter is individuated by quantity and should be assumed as individuated at the moment of generation, it is responded that matter is not individuated by substantial quantity but by its inherent incommunicability. Quantity contributes to multiplication and division, not so much to the concept of individuation as to its differentiation. Quantities divide and multiply, but it is the substance or matter itself, not the quantity, that determines diverse substantial individuation. This will be explained more fully in the next question when discussing the principle of individuation.

Hence, the quantity that individuates and is individuated by matter is sufficient if it possesses, at the moment of generation, priority in terms of formal cause over the form, dispositional cause over disposition, and material cause over matter. However, it is not necessary for this quantity to be coeval with matter and perpetually inherent in it. This will be further clarified later. This does not pose a specific difficulty in the case of humans because although their form is essentially spiritual, it is formative and virtually corporeal, as it provides the degree of corporeality that gives rise to quantity, just as it does with other corporeal accidents. Therefore, the entirety resulting from this, which is simply corporeal (i.e., a human being), is capable of quantity as "that." The principle for receiving quantity as "that" is matter itself, as it serves as the substrate for the form and provides the degree of corporeality.

In response to the second point, it is stated that the accidents that remain in the generated entity are not the same in number as those in the corrupted entity but are similar, as explicitly taught by St. Thomas in his work on generation (1. de gener. lect. 10). Some forms have such a symbolic relationship and affinity that they tend to seek similar accidents, especially at the beginning of their generation when they have not yet achieved their full perfection. During this early stage, transmutation is relatively easy, such as the transformation from an embryo to an animal or from an animal to a cadaver. As these are vital forms, they tend to progress towards another form, and this prompts them to seek similarity in their accidents.

Sometimes, the generating agent produces an accident similar to what was present in the corrupted entity due to the necessity of the matter from which the generation occurs. It should be noted that forms, when generated anew or during processes like augmentation or nutrition, may not possess their proper accidents or intrinsic passions as part of their inherent nature but may acquire many common accidents as a result of the determination of the matter into which the form is introduced. Common accidents do not emanate directly from the form but are provided by the generating agent according to the suitability of the matter and the circumstances. For example, when a living being is killed by water, fire, or iron, and the form of a cadaver is generated, whether by those agents or by celestial causes as the primary agent, common accidents are produced. These common accidents are determined by the resistance or demand of the matter. Hence, when a dead animal's form is introduced, a certain amount of heat can still be produced. Although the form of a cadaver is introduced by the cold agent, this agent, while primarily producing cold, can also acquire qualities of warmth when it acts against the resistance of the matter. Similarly, sometimes such heat is generated through antiperistasis, or the surrounding action of the opposite quality, as introduced by the form of the cadaver itself, acting as a direct cause. The concept of antiperistasis will be explained further in question 5.

By the same reasoning, we observe that the nutritive faculty sometimes generates food with additional qualities and alien properties due to the influence of the matter, which imparts its own qualities to the nutrition. Likewise, animals are sometimes generated with different qualities, even though the seed is good, because of the mixture with the blood, which is the matter. Thus, the agent or generator must not only be considered in terms of its inherent power or modification due to resistance and reaction but also in terms of the power it derives from external sources, such as celestial influences and other surrounding circumstances. All of these factors determine or provide the power to generate certain common accidents in accordance with the demands of the matter in which it operates.

Therefore, the generating agent or agent is not solely defined by its intrinsic power but also by its relation to the matter, circumstances, and other surrounding influences. It can generate similar qualities, scars, impulses, and other such common accidents not by its inherent force but by continuing the impulses in the body of the deceased, as the impressed power from the agent on the dying animal, which is being corrupted, does not encounter a resistance contrary to its extinction. Instead, it determines the agent undergoing corruption and imparts to it the power to continue a similar impulse in the cadaver.

It should be noted that the senses do not perceive any change in this process, as their function does not involve indicating changes in individual things resulting from the mere corruption of the subject, where a similar accident of the same species is substituted, but rather in cases where an alteration or mutation occurs in the accident without the substitution of a similar one.

But you might still object with reference to Thomas Aquinas, who, in "Contra Gentiles," chapter 18, states: "The matter of a human being, after his death, which was subject to such a form, remains with the same dimensions it had, so as to be individual matter. Therefore, the matter is not stripped of every accident, at least not of quantity, by which it is marked and determined, so as to be this individual matter. This is confirmed because the antecedent dispositions have nothing contrary to cause their corruption by subsequent ones, as they are of the same nature with them; therefore, they persist. Nor can it be said that they are defined by the definition of the subject, for it is quite the opposite, as the ultimate disposition, when joined to the generated form, is not corrupted by its destruction, but rather is generated then. A disposition beneath the ultimate one is compatible with the subject undergoing corruption. Therefore, they do not terminate solely due to the subject's definition but rather due to the contrary. However, this does not apply because the ultimate disposition is not contrary to the preceding one; it is of the same species, for example, heat as an eighth with heat as a seventh."

Response: What St. Thomas means is that the matter remains with the same dimensions fundamentally, insofar as matter is the root of those dimensions, not formally. This is because the same quantity does not remain, nor does the same form. Nevertheless, there is an order in matter to the same form, that is, to the soul, for its restoration through resurrection, so it remains the same dimension fundamentally.

St. Thomas confirms this by saying in the same text that corporeity is twofold: one is substantial corporeity, which is the nature of the body as belonging to the genus of substance, and this is nothing other than the form itself. The other is accidental corporeity, which is the species of quantity, which is the body. St. Thomas continues: "Although the corporeity of the human body ceases to exist when it corrupts, it does not prevent the same human, numerically, from rising again because the same corporeity remains, with the same form of a human being." Therefore, St. Thomas understands that the quantitative dimension does not remain the same in the matter of a human, but the same order to the human form remains. Consequently, it will have the same dimensions because it will have the same corporeity.

We will explain other passages from St. Thomas in question 7 and 9 of the Third Part in the following article.

Regarding your second point, dispositions that precede are not directly corrupted by the ultimate disposition as if they were contrary to it, but indirectly. This is because they introduce an incompatible form to the preceding one, and consequently, the subject of such preceding dispositions is destroyed. Thus, these dispositions terminate to define the subject in which they existed, but it is not incongruous for something to be indirectly and accidentally corrupted by its like, with the foundation on which it relied being destroyed.

John of St. Thomas (1589-1644): Predicamental Being and Accidents

 

(The following is taken from John Poinsot, Cursus Philosophicus Thomisticus [Lyon: Laurentius Arnaud, Petrus Borde, Johannes, and Petrus Arnaud, 1678], pgs. 189-198)

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QUESTION XIV. - On Predicamental Being and Division into the Ten Categories.


ARTICLE I. - What is a predicament, and what is required for something to be in a predicament?

A PREDICAMENT is nothing else than a series or coordination of superior and inferior predicables starting from one supreme genus, which is predicated of every inferior one, down to the individual, which is subject to every superior. And because this coordination is done through superior and inferior predicables of greater and lesser universality, those predicables are called "degrees" because they are like steps on which we ascend and descend within the predicables themselves. For example, in the predicament of substance, the supreme genus is substance, then body, then living, then animal, then man, then Peter, and so on. In each predicament, we will arrange things towards the end of that predicament, as indicated.

And since the distinction of predicaments was introduced for the purpose of presenting orders and classes of different natures to which everything that partakes of a certain nature could be reduced, it is therefore necessary, first of all, to exclude from every predicament beings of reason because they do not possess a true nature or true existence, but rather a fictitious one. Hence, they do not belong to a true predicament but to a fictitious one. Therefore, according to Thomas Aquinas (Summa Theologiae, I, Q. 7, Art. 7), only things outside the mind are said to come into the predicaments.

However, among real beings, it is necessary for some to belong to this line and gradation of predicaments directly, some to the side and, as it were, reductively. This is because not all things participate in the concept of being or the genus in the same way. In order to distinguish which beings are entirely separated from the predicament, which are placed in the straight line, which are placed reductively, and which are placed to the side, five conditions are enumerated that are required for something to be in the predicament. Although others may enumerate more conditions, all can be reduced to these.

The first condition is that it must be being per se and not by accident. The second is that it must be a complete being. The third is that it must be a finite being. The fourth is that it must be a complete being. The fifth is that it must be univocal.

Regarding the first condition, it is said that being per se must be present to exclude being by accident. The latter is excluded from the predicament because it does not signify one nature but multiple natures. Therefore, it does not constitute a thing with a single genus and difference but with multiple ones. This is the nature of being by accident. It is not placed in the predicament per se but through those natures, and each one is placed in a distinct predicament if they belong to different natures or in the same predicament if they are of the same nature but with different modes and multiplied natures. This is not being placed per se but with a single position.

Based on this condition, I believe that concrete accidental entities must be excluded from the predicament because they are not taken merely as formal but as a composite composed of both the subject and the accident. For example, in the case of color, it signifies not only the form of color but also the subject it inheres in. This means that it signifies the formal aspect only. However, concerning the substance, when we say, "The white thing is colored," we refer to the quidditative formal aspect that is implied in them. Thus, even though concrete accidents are not taken as total entities, they do not contradict the notion of genus and species, and consequently, the series of predicaments. Some may find difficulty in this mode of signification because they signify by way of an accident, not by way of quiddity. But this does not matter because, although they signify by way of an accident concerning the subject, concerning the very form of the accident and the essential predicables, there can be predication, as when we say, "The white thing is colored." This involves the formal aspect that is inherent in them.

The second condition required for the concept of predicamental being is that it must be a complete being. This refers to those entities placed in the straight line of the predicament, not reductively or to the side. We call something a complete being when it is signified as constituted and, in a sense, as a whole. This condition also applies to accidents since they can be seen as a complete entity within the genus of accidents, although relative to substance, they are incomplete.

The third condition is that predicamental being must be finite. This condition excludes the infinite simply and in the whole genus of being, as in the case of God, who is not infinite in any determinate genus. For example, infinite quantity or infinite quality would be excluded by this condition. The reason is that the infinite in a determinate genus is only infinite accidentally. From the perspective of essence, it consists in actuality and potentiality, which are the terms that define essence. These terms constitute essence when considered in their act; it is potentiality that gives rise to genus, and it is act that gives rise to difference. Therefore, it retains coordination and the series of superior and inferior predicables, such as genus and difference, which are placed in both the genus and the predicament.

However, infinite in substance or in the genus of being involves pure actuality, as it pertains only to the absence of the terms of essence. Thus, if it is in act, it is infinite actuality, which excludes all potentiality. When potentiality is excluded, the genus, which is a potentiality for differences, is also excluded. Therefore, pure actuality excludes all coordination of determinable and determining degrees, of being capable and being actual, which constitutes the gradation and the predicamental series, as will be explained further in the following questions.

The fourth condition is that predicamental being must be uncompounded. This condition excludes not only complex accidental beings and those that are beings by accident (which is excluded by the first condition) but also complex essential beings, such as definitions. For example, the complex expression "rational animal" is excluded. The reason is that these complex expressions correspond to two concepts that explain one and the same nature. The nature that is intrinsically placed in the predicament is the defined thing itself, which is the species. Therefore, if the species or the defined thing is intrinsically placed in the predicament, and the complex expression explaining the defined thing is also intrinsically placed in that predicament, the same thing would be placed in the predicament twice: once by its own nature and again by the nature contained in its complex definition. Sometimes authors do not have a single-word term to signify a particular thing, and they use a complex term to signify it. However, when they do so, it is because the thing signified is intrinsically simple. It cannot be argued that only the definition is placed in the predicament, not the defined thing itself, which is the specific nature. This would imply that the predicaments are merely formal intentions, namely, the intentions of definitions, which would be placed in the predicament, while the defined things themselves, which are real, would not be.

The fifth condition is that predicamental beings must be univocal. Equivocal terms do not signify one nature but multiple ones, and therefore, they do not denote a single possible thing in the predicament. Analogical terms are excluded because they do not have one contractible ratio, as is the case with genus through differences, nor are they constituted as a species derived from a genus that contracts to individuals. By excluding genus, species, and difference, the coordination of the predicament, which is based on these, is also excluded.

ARTICLE II. - Is Being Univocal or Analogous to the Ten Predicaments?

This controversy has been well-known between the schools of Saint Thomas Aquinas and Duns Scotus. Scotus believes that being is univocal with respect to the ten predicaments, and consequently according to his opinion, being signifies a concept that is one object distinct from its inferiors, which it is predicated of, and is contractible to them. However, Scotus also claims in certain passages that being is equivocal or analogous to the ten predicaments because, in his view, it does not have a sufficient univocation to be a genus or one of the five predicables. He always denies that being has the univocation of genus because, according to his explicit interpretation of Aristotle, he excludes it from being since it does not represent the essence of a thing. He often cites the explicit authority of Aristotle in Metaphysics (e.g., text 10 of book 3 and text 2 of book 4) to support this claim. 

For the present discussion, we only need to address two questions. First, we must determine whether being is analogous or univocal with respect to the ten predicaments. Second, assuming that it is analogous, we must consider what kind of analogy it is. We will address the second question in subsequent articles and focus on the first question here. We will not delve into the analogy of being with God and creatures since it is beyond the scope of this discussion, but it can be resolved easily based on the resolution of the current question.

Scotus believes that being is indeed univocal with respect to the predicaments, but not as a genus. By univocal, he means that the concept of being is so precisely one that its unity is sufficient for contradiction, whether affirming or denying it in the same context. He explicitly states this in his Sentences (Duns Scotus, Ordinatio I, d. 1, q. 2, n. 36). However, he also asserts in other places that being is equivocal or analogous to the ten predicaments because it does not have sufficient univocation to be a genus or any of the five predicables. Scotus dismisses the notion of being as a genus from his system, primarily due to Aristotle's explicit assertion in Metaphysics that being is not a genus but transcends it (Metaphysics 3.2, 1003a16).

Scotus's foundation for this position relies mainly on the principle that many philosophers, including some outside his school, admit: the concept of being and any analogous proportionality concept are precisely one and distinct from their analogates with the same precision. Scotus argues that if being had the precision of unity necessary for contradiction, it must contract to the things below it by addition, which determines and divides the superior concept. Therefore, nothing prevents being from being a univocal concept since the entire inequality or diversity in it arises from the different contracting differences, not from the superior concept itself, which is precisely one. Similarly, when we consider a concept like animal, the whole inequality in it arises from the differences contracting it, not from the superior concept, which is precisely one.

Scotus's position hinges on the idea that the concept of being cannot immediately represent multiple things in actuality or include them in the concept itself, as such inclusion would mean that multiple things are included within the concept explicitly. Therefore, being is necessarily univocal in his view, as its precise unity results from the fact that it includes in potency, not explicitly, everything that can be included in it.

Nevertheless, for the resolution, I first say: Common being with respect to the ten predicaments cannot have a univocal concept, whether it is taken as the complete concept of the knower or as abstracted from the complete and incomplete. This conclusion is undeniably the position of Saint Thomas Aquinas, and I am surprised that some authors want to deny it in the sense of Saint Thomas. Thus, he affirms in his work (Sententiarum I, dist. 2, quaest. 1, articulus 3, ad 2), where he states: "It is divided differently: equivocal, univocal, and analogous. Equivocal in terms of the things signified, univocal in terms of differences, but analogous in different modes. Therefore, since being is predicated analogically of the ten genera, it is divided in various ways." So, Saint Thomas expresses it very explicitly.

Furthermore, in the same work, in Distinction 25, Question 1, Article 2, and in his statement to Annibal, he sets forth the general rule that if things do not belong to the same most general genus, nothing can be said of them univocally. Now, being belongs to what is above the most general genera, namely, the ten predicaments. Similarly, in Distinction 19, Question 5, Article 2, he proves that being, and other transcendentals, are analogically predicated of the inferiors. In Question 1, Article 1, he proves that being cannot be contracted by addition (such as the contraction of univocity through differences) but through various modes that explain it. The idea that its concept is not entirely precise with respect to the inferior predicaments is derived from what he teaches in Aristotle's Metaphysics, especially in Book 8, where he states, "It solves the above and so on," and it is clear that because the ten predicaments do not have being added to them in the way species have differences added to genera, what is essential, being, does not expect anything added to it to be this or that, that is, substance, quantity, quality, etc. Here, he clearly excludes the notion that being can be contracted by addition, and thus he assumes it is not univocal and that it does not include multiple things potentially. Therefore, it is not actually separated from them, even though it does not explicitly explain them.

Moreover, in Metaphysics 4, Lecture 1, he explicitly teaches that being is not predicated univocally of substance and accident and the other predicaments. You can also see this in Metaphysics 3, Lecture 5. It cannot be said that when Aristotle and Saint Thomas say that being is not predicated univocally, but only analogically, they are not speaking about being absolutely but being per se, which is the first being. This first being, they claim, is the only one that applies to accidents denominatively and attributively because, for example, accidents are said to be being because they participate in being. However, this claim doesn't hold because if being is taken there as substance, it would not deny being a genus, at least with respect to substances themselves. It could be a genus for substances even if it denies being as a genus generally.

In response to these arguments, some people say that the differential reasons are not being but a mode of being. Now, let's suppose that this differential reason is a mode of being. Then, this mode is either something in the nature of things or nothing. If it is nothing, then it makes things differ by nothing, which means there is no difference. If it is something beyond nothing, then it is being because, in this most general sense of being, being refers to anything other than nothing.

Some from the school of Scotus, like P. Merinero in his discussion on Univocity (Disputation 2, Question 1, and the following questions), distinguish between two considerations of being: "ens quid" and "ens quale." They say that "ens quid" refers to being as contractible and potential towards lower entities, while "ens quale" refers to being as actual and determining, or contracting, which is the differentia itself. They claim that "ens quid" is not included in the contracting differences because it would lead to an infinite regress. If the ultimate differences included "ens quid," they would share something in common and yet differ from each other, which would require another differentia to differentiate them, and this process would continue infinitely. Therefore, this process must terminate in something that does not include "ens quid" but is still "ens quale," i.e., a differentia.

However, this response is neither true nor does it resolve the difficulty. It's not true because "ens quale," or the mode of difference, either includes "ens quid" or it does not. If it does not, then it is nothing because "ens quid" is what is opposed to nothingness. If "ens quale" also opposes nothingness, then "ens quale" and "ens quid" share the concept of being something rather than nothing, i.e., having true and proper existence. This leads to an inquiry into how "ens quid" is intrinsically included in both "ens quale" and "ens quid." If "ens quale" includes "ens quid," it means that "ens quid" is intrinsically included in the intrinsic modes and ultimate differences since those are "ens quale." Therefore, "ens quid" cannot be entirely separated from them, even though it is not explicitly explained. If it were separated, we could perfectly understand it without them, just as an animal can be perfectly understood without being rational, even if it potentially includes it. If "ens quale" includes "ens quid," then "ens quid" is intrinsically and essentially included in those intrinsic modes and ultimate differences, as they are "ens quale."

Moreover, the idea that these intrinsic modes are distinct from each other due to added differences doesn't resolve the issue. If these modes are differentiated by some added mode or difference, we would need to inquire how they are in agreement and how they differ from each other based on this new mode, leading to an infinite regress. On the other hand, if it is claimed that these differences or modes entirely differ within the nature of "ens quale" and are not due to anything added, then why wouldn't the same reasoning apply to "ens quid," which shares commonality within the nature of "ens quid," yet the modes are primarily different? If adding some difference distinguishes the modes, then the question arises about how this new difference is in agreement and how it differs from other differences added in another way, and the infinite regress continues. If it is argued that these intrinsic modes entirely differ within the concept of "ens quale" and are not due to anything added, this doesn't address the problem because "ens quid" can also be argued to differ primarily within the concept of "ens quid." Therefore, the solution seems to admit that "ens" actually includes these modes but does not explain them, which aligns with our assertion and negates the univocity of the concept of being.

In response to this, some of Scotus' disciples, like M. Cabrero, concede that being is a genus and that Aristotle's claim (Metaphysics 3, Lecture 10) that being is not a genus applies to common complete being. However, they argue that this doesn't imply that the ten predicaments are genera distinct from the first genus of being. They only consider these distinctions as forms of denomination and intrinsic reality, not as distinct genera. But this argument doesn't hold since it undermines the entire structure of the ten predicaments. If the highest genus is only considered relative, then any lower genera would also be considered relative. This would result in an infinite number of higher-level predicaments, rendering the system incoherent.

The conclusion is that the concept of being cannot be perfectly separated from the modes that contract it, and it does not have a simple unity in itself. This conclusion aligns with the position of Saint Thomas Aquinas, who argued that being is not a genus because it is included in the intrinsic differences, contrary to the nature of a genus.

Regarding the arguments made from the beginning:

In the concept of being, several aspects are not explicitly represented or expressed as distinct, but they are present in a confused manner and under the proportion of having existence. This means that these aspects are implicitly conceived, but what is implicit in potentiality is not the same as what is implicit in actuality. Something implicit in potentiality denotes something determinate in itself, but it can be determined to multiple things by adding the determinable aspects, as in the case of "animal" concerning the rational and irrational. On the other hand, something implicit in confused actuality signifies everything without specific determination, as when we see a multitude from afar in a confused manner. To not represent in actuality is different from not including in actuality, and this distinction is essential.

It is argued that if these lower aspects of being are not part of the common concept of being, they can still be perfectly represented. The response is that these various aspects, when explicit, are not part of the concept of being as such. However, when implicit, they are part of the concept of being in common. In fact, being in common is nothing other than what pertains to the essence of being under confusion and without any specific determination, except for the proportion of having existence. This distinguishes it from the concept of "animal" and other univocal concepts, which not only include but also explain a specific degree that can be further determined by lower contracting differences. This is because a specific degree or aspect explicitly expressed cannot be contracted except by the addition of a higher degree or aspect. Conversely, an analogous concept does not determine any specific aspect explicitly but confounds them in a proportional relation, so contraction and distinction occur not by addition but by explication of the confusion, as explained in the preceding question.

As for the objections raised:

It is suggested that the same concept or notion can simultaneously represent something doubtful and certain, obscure and clear. This is considered in the context of faith where something may be clearly attested as credible under the aspect of credibility but remain obscure as the object of faith. It is also noted that sight can verify something seen from afar, such as an animal, but remain uncertain whether it's a horse or a cow, especially in the case of negative doubt. The response acknowledges that a single act can address multiple things under different aspects and may not equally clarify all of them. For example, a single act can fully certify one aspect while not providing the same certainty for another. The argument, therefore, does not support the notion of the univocity of transcendent concepts per se.

It is claimed that in predications like "substance is being" and "man is being," the predicate "being" does not attribute analogous particular analogates to the subject. The response reiterates that in such predications, "substance is being" signifies that substance has existence, but it does not attribute multiple, distinct aspects to it explicitly. It signifies existence under a proportional unity and confusion, and this is what is predicated there. The sense is that "man has existence," signifying that it has what pertains to the essence of existence under confusion. However, it does not explicitly signify substance, quantity, quality, etc., and it doesn't determine them in a specific and distinct manner.

Lastly, it is argued that being can be a medium in demonstration since it has demonstrable attributes and does not signify different aspects as if they were distinct. The response agrees that being can serve as a medium in demonstration since it possesses demonstrable attributes and signifies them in a proportional unity and some level of confusion. This is sufficient for knowledge and, consequently, for demonstration. Additionally, it can have transcendent and analogous attributes connected to the proportional relation it signifies, as mentioned in the previous article.

ARTICLE III. - How is Being Analogous?

Some hold that the analogy of being is neither a matter of proportion nor of a third thing, which they call transcendence, as discussed by Magister Cabrero in Disputation 4, Question 3, Doubt 3. Others believe that being, concerning substance or accident, only shares a common term and is like an analogous proportion. For example, they liken it to "healthy" concerning medicine and urine, as in the work of P. Vazquez in Volume 2, Part 1, Disputation 121, Chapter 2. However, these discussions are generally about all analogies, which they believe are only based on a common term. We are not addressing these viewpoints in this context, as we have addressed them previously. The others understand that there exists a proper analogy of proportionality, and this is more accurate.

Hence, there is only one conclusion: The analogy of being to the ten predicaments is not sufficiently explained by stating that it is transcendence. Instead, it must be said that it is the analogy of proper formal proportionality, although it virtually includes the analogy of attribution or proportion. The first part of the conclusion is evident because transcendence is not a species of analogy; it is the subject of analogy. Analogically, what is transcendent is denominatively analogous, just as "animal" is denominatively a genus. This is clear because transcendence is something real found in all things, whereas analogy, like univocity and equivocity, is a second intention. It pertains to the mode of predicability and universality and involves abstraction in the intellect. Therefore, to say that transcendence is a species of analogy is like saying that "animal" is a species of universality or predicable. It is necessary to assign the formal reason for analogy, which is found in being and the transcendent things, as it is in the subject.

The second part of the conclusion is clear because being and transcendence are intrinsically found in all things and not through extrinsic denomination. Otherwise, transcendence would not be what it is. Hence, St. Thomas Aquinas frequently teaches that accidents have their own existence and essence, truly and distinct from substance, as evident in the Fourth Distinction, Question 12, Article 1, Question 1, Article 1, Question 3, Reply to the Fifth, and in the Fourth Book Against the Gentiles, Chapter 14, Reply to the Ninth Reason, where he states that accidents are a certain form superadded to substance and caused by the principles of substance. Therefore, their existence is added above the existence of substance and depends on it. Similarly, he teaches that the quiddity of an accident is a reality that seeks existence through inherence. None of this could be the case unless accidents existed intrinsically and were beings in terms of their quiddity. When St. Thomas states in First Part, Question 55, Article 4, Reply to the First Objection, that accidents and non-subsistent forms do not have existence, he means that they do not have existence in themselves as they have existence when posited, not that they don't have existence at all.

Lastly, St. Thomas clearly teaches in the First Distinction, Question 19, Article 5, Article 2, Reply to the First Objection, that the analogy of proportionality, which is the analogy of proper proportionality, pertains to being and transcendent things. It is necessary that they have existence in each of those about which they are predicated. This can also be gathered from Question 7, De Potentia, Article 7. The reason is evident because the analogy of proportionality is distinguished from the analogy of attribution in that the latter is through denomination from one form that is intrinsically in one principal thing and denominatively in others. The former is with regard to forms intrinsically existing in each analogous thing but not concurring in one thing absolutely, only proportionally. Accidents are intrinsically beings because they truly exist apart from nothingness and truly adhere, producing real effects, such as being quantitative, colored, hot, etc. Therefore, being is said to belong to the analogy of proper proportionality.

The third part is proven by what we mentioned earlier, that philosophers and St. Thomas often compare the analogy of being, analogous to the Holy, to "animal" and "medicine," which are analogous attributively, as in the Fourth Book of the Metaphysics, Lecture 1, and the Eleventh Lecture of the Metaphysics, Question 2, Article 11. However, this is not because it is solely this kind of analogy. In the First Book of Ethics, Lecture 7, St. Thomas clearly attributes the analogy of proper proportionality to the Good. The same reasoning applies to being, but it does have intrinsic existence. Therefore, it is not formally called being by attribution, but it possesses being. Hence, it could be called "being" by attribution if it did not possess intrinsic being. As St. Thomas states in the Fourth Book of the Metaphysics, Lecture 4, being is said as "healthy" is with respect to substance and accident, not by the attribution of an efficient or final cause but by a material one, insofar as an accident inheres in a substance, as in a subject. Therefore, it is deduced that being must intrinsically possess existence, namely through inherence, not through extrinsic attribution to a cause or an extrinsic effect.

You state that the proportion of an accident to its existence or substance is a ratio, not a real proportion; therefore, it is insufficient to establish a real analogy and intrinsic suitability. The antecedent is argued as follows: Proportion is a relation, and that relation is a matter of reason because it does not exist between real extremes, as nothing is distinct from its existence. Therefore, it is a matter of reason. Additionally, the proportionality between an accident and substance is not signified by the term "being," nor does it suffice to constitute analogy even if it is exercised. For instance, proportionality can be exercised between two species falling under the same genus without signifying "being." Just as one species relates to its genus, so does another, and yet it does not eliminate univocity; thus, it doesn't do so in the case of "being."

Response: First of all, in the sense of St. Thomas distinguishing existence from essence in reality, it does not apply to this instance because here the extremes are found in which a real relation is exercised. However, beyond this point, we say that analogy is formally a second intention, and as such, it is not a real relation but a matter of reason, just as the intention of genus or species is. Yet, it has its basis in proportionality, not as a relation per se, but as a matter of suitability and proportional similarity among many, whether in real beings or matters of reason. This is similar to how the intention of a genus is founded on the suitability of generic similarity, whether in real beings or matters of reason.

Regarding the second part of your argument, our response is that the proportionality itself should not be taken to signify an act but to be exercised in analogical terms, just as equality or unity is not signified in univocal terms. Concerning the exercise of proportionality among species falling under the same genus, we mentioned in the previous question that this kind of proportionality relies on absolute and perfect suitability, and, as such, it does not solely rely on proportionality. In analogical terms, the entire unity or suitability is derived from proportionality itself, and no other greater unity is presupposed. This is the distinction between proportionality found in analogical terms and that in univocal terms. 

ARTICLE IV. - Is an Accident Univocal with Regard to the Nine Categories?

There are authors who hold the affirmative position, especially if an accident is considered as a predicamental complete accident, not as abstracted from the complete and the incomplete. They consider an accident as a real accident intrinsically denominating. For, with respect to an extrinsically and intrinsically denominating thing, there is no univocal concept. Therefore, when speaking in this manner about a complete accident, many authors, even outside the Scotist school, believe it to be univocal with respect to those predicaments which are intrinsically denominating forms.

The foundation for this is that such an accident is not included in differences, but it behaves like a complete substance, which is indeed a genus, for it does not include differences. However, as it abstracts from the complete and the incomplete, it does not constitute a genus. Why then would a complete accident not be univocal, especially when not one accident, for instance, quantity, participates in the nature of an accident more than another, such as quality? The entire diversity of these accidents arises from their specific differences in which the complete accident is not included. Furthermore, it is not easy to determine the analogy of a complete accident, for it is not transcendent since it is not included in differences, nor is it an attribution or metaphor since all accidents are not denominating intrinsically but only accidentally. It is also not proportional in its proper sense since, in the opinion of these authors, it does not suffice to make something analogous, as it can also be found in univocal terms. On the contrary, there is the general rule of St. Thomas in Distinction 25, Question 1, Article 2: "Whatever does not agree in the most general genus cannot be said univocally of them. But the nine genera of accidents are the most general genera, being diverse predicaments; therefore, nothing can be said univocally of them, and consequently not of accidents."

I say, therefore, firstly, that an accident, as abstracted from the complete and the incomplete, is not univocal but analogous. This is commonly agreed upon by authors because the same reasoning applies to a common accident that is both complete and incomplete. Likewise, for a substance, even though they are abstracted differently, they are intrinsically denominating and transcend all things and modes. For these accidental differences are also accidents, albeit incomplete, as they are something existent and not substantial. Therefore, they are accidental. From this, it follows that there is not one but several ratios, as they are included in differences, completely abstracted from them and perfectly abstracted from them, for a ratio that is once included does not abstract from them since there are no other differences of such differences from which it could abstract, leaving them behind. Therefore, if it abstracts from differences, it abstracts from all, and only the common ratio remains in relation to the lower, not in relation to the differences, if it abstracts from them. So, for the common ratio to apply to them, it does not abstract from them, and this is to include them in act and to be one reason, not absolutely one.

Secondly, I say that a complete accident is also analogous to the nine genera even if they all consist of intrinsic denominating forms. This conclusion is based on what we discussed in the second article about a complete being. Although it is not included under the concept of completeness, the differences themselves must be included under it for it to be complete because it is only through them that completeness is achieved. An accident can only become complete by a mode that distinguishes it from the incomplete. However, this mode is either inherence itself, as in the case of substance making a substance complete, or the accident being in concrete, or the accident becoming predicamental. Here, the differences that make the accident complete pertain to the essence and form of the accident itself. Therefore, a complete accident is not rendered univocal by this process, particularly when a different accident, for example, quantity, has the essence of an accident just as another accident, such as quality, does. The entire diversity arises from the specific differences inherent in the nature of accidents. These differences do not include the complete accident, and thus, a complete accident is not rendered univocal through them.

The first point does not make a complete accident univocal because inherence does not lead to an accident being complete. Inherence is not oriented toward constituting a whole in itself, as in the case of substance, which is a complete whole within itself. Inherence is the proper form informing the subject. Thus, when an accident is conceived as inhering precisely, it is not abstracted or removed from the inclusion of the differences, as they are still inherent. In fact, through the differences themselves, completeness is achieved, and thus, a complete accident is rendered complete in essence and the nature of the form, not through inherence as such.

Thirdly, the third point is also inadequate because a predicamental complete accident is either understood to become predicamental through a second intention of ordering it to the predicate or through some first intention that makes it capable of such a second intention, which is found in the predicate. The first option does not complete a real accident because the second intention is something of reason, nor can it be suitable unless the first intention, which makes it a thing capable of being placed in the predicate, is presupposed. The second option is unassignable in terms of what makes complete accidents according to the modes by which each predicable is constituted and a predicamental accident is rendered, for there is no real mode common to the nine predicaments by which an accident, as such, can be rendered complete and distinct from the differences.

Therefore, it must be said that a complete accident is not a single concept superior to the nine predicaments, but it is immediately rendered a complete accident through the very modes that constitute the predicaments. If it is actually complete, it actually includes them and thus does not have a simple unity required for univocation. Instead, it takes on the diversity of the differences and modes themselves. For this reason, St. Thomas says in Metaphysics 5, Lecture 9, that those things into which being is divided first are the predicaments because they are distinguished according to various modes of predication. Hence, the division into ten predicaments is immediate, and the first is that of being. However, a complete accident does not require any complement separate from the ten predicaments.

Furthermore, this avoids the argument, for if a complete accident were univocal with the nine genera, then the genus would be univocal with those genera. Consequently, the nine genera would not be alternative; for everything univocal is equally divided into genus, species, and the other five predicables. As D. Thomas says in Cont. Gent. 32, "Everything that is predicated univocally of several things is either a genus, a species, a difference, a property, or an accident. But accident, in general, is not a species, much less a difference or a property in relation to its inferiors; therefore, it will be a genus if it is univocal."

Some deny this consequence and say that an accident is not a genus because it is divided unequally according to its essence. However, this does not destroy the genus; rather, it affirms the analogy. An accident is analogical because it is divided unequally according to its essence. But if inequality arises only from the differences themselves, it is also found in the genus whose differences are unequal.

Others say that an accident is not a genus because it does not signify quiddity but the being of the accident, which is in the substance, or if it signifies quiddity, it does not signify a distinct degree but what is included in whatever it is found. But this contradicts univocation because it includes everything, does not specify a distinct degree, and is not complete as a predicament. Thus, if it is included in whatever, why would it not be called a generic concept if it is univocal? For it is univocal and signifies quidditatively, just as quality is an accident quidditatively and not substantially. In this sense, it does not specify a distinct degree, which is why a complete accident is not considered complete if it is included in whatever, unless it is not included in differences. But if it is not included in differences, why would it not be called a generic concept since it is univocal, signifies quidditatively, and is predicable quidditatively?

Regarding the objections raised from the beginning:

Response to the first objection: The distinction between complete substance and accident is established because in substance, we assign something of one concept, namely, a predicate by which it is completed, namely, being a complete or total substance, as in "what it is." However, in the case of an accident, since it is a form, there is nothing assignable by which it could be completed except those predicamental modes by which it is measured against substance. Such a mode constitutes a determinate predicate if it is determinate. However, when taken in a confused and indeterminate manner as a predicamental accident, if the term "predicamental" refers to the second intention, then it is not a real completion of the accident but presupposes it. If it refers to the very complete nature of the accident, then it signifies all the predicamental modes in a confused manner because it is completed not by anything other than those modes. Thus, it includes differences and is analogical.

Regarding the statement that quantity is equally an accident with quality: Even though they share the nature of being accidents equally in terms of inherence, they do not share it equally in terms of arranging and measuring themselves with respect to substance. In this aspect, they are initially distinct and have an unequal relationship. However, the mode of inherence is not constitutive of the quiddity itself but pertains to the manner of existence as communicable. Just as substance makes substance incommunicable, equality in inherence does not make equality absolutely in the quiddity of the accident.

Response to the second objection: It equally applies to the accident as it is abstracted from complete and incomplete, which all acknowledge to be analogical. Therefore, we say that it is analogical in the case of proper proportionality because it is present in all analogates through intrinsic form. As for the possibility of finding a comparison of proportionality in univocals, it has been answered before that such a comparison is found not as the sole source of their unity but as that which presupposes and falls upon it. However, when it is found as the sole source, such that there is no other unity apart from proportionality, then it constitutes analogy, and thus it is not found in univocals.

ARTICLE V. - Whether the division into the ten predicaments is adequate?

This division into the ten predicaments is very ancient and famous, widely accepted by authorities over the centuries, and it is beyond question. However, many find it not so easy to provide a rationale for this division.

St. Thomas Aquinas, in his lectures on Metaphysics (Book V, Lecture 9) and Physics (Book III, Lecture 5), establishes its adequacy in the following way: Whatever can be predicated of a subject, or of the primary substance, can only be predicated in three ways. First, as pertaining to its essence, secondly, as inhering in it but not pertaining to its essence, and thirdly, as a predicate taken from something extrinsic, from which it derives its denomination.

If predicated in the first way, it constitutes a predicament of substance. If in the second way, the predicate that inheres is either absolute or relative and orders itself to another term. If it is an absolute form inhering, it either pertains to matter or to form, as a form is, whether spiritual or corporeal. If it pertains to matter, it is quantity, for this extends over material parts. If it pertains to form, it is quality, which has the function of qualifying and determining the mode of the form. If, however, it is a relative form, it is relation.

But if the predication happens in the third way, i.e., by taking its denomination from something extrinsic on which it depends, then it belongs to the six remaining predicaments. These are: substance, quantity, quality, relation, habit, and time.

Regarding denominations that depend on something extrinsic, it can either be a cause or a measure. The extrinsic cause cannot be material or formal since these constitute or denote intrinsically. Therefore, causalities of this kind do not constitute a special predicament as they are more oriented towards perfecting and completing matter and form through information and reception within them rather than perfecting or altering other things, as the causality of an efficient cause. Modes, on the other hand, do not constitute a special predicament when they merely indicate something complementing another thing because they are reducible to the thing whose modes they are. However, they do constitute a special predicament when they imply a specific commensuration to a substance and not just a complement or condition of its being.

As for the final cause, it only has metaphorical causality, and in the actual, it coincides with the causality of the efficient cause.

Hence, it remains that the extrinsic efficient cause that provides denomination is either denominating the subject, which is being changed (passion), or it is the cause from which an effect emanates, and it is action.

If the denomination comes from an extrinsic measure, this measure is either of place or of time. If it's a measure of place, it measures according to the absolute aspect of being in a place, concerning a diverse distance, and thus, it is "where." If it measures in terms of the order of parts in a place, it is "situation." But if it is a measure of time, it constitutes the predicament "when." There are no other extrinsic measures.

In this reasoning regarding the classification of the predicaments, some find difficulty, especially in two aspects. Firstly, because it is said that quantity follows matter and quality follows form. If this is understood as inhering in, then both inhere in the composite, as stated in the doctrine of St. Thomas in his books on generation. If it refers to emanation, quantity does not emanate solely from matter but from the composite, which is the body. The body, indeed, possesses three dimensions, but this doesn't merely indicate matter alone but matter informed by the form of corporeality.

Secondly, it appears that St. Thomas assigns the last six predicaments to extrinsic denomination, which we will show is false when discussing them. In particular, there is no doubt that passion is an intrinsic change. Nor can it be said that these are intrinsic modes that, nevertheless, depend on something extrinsic to which they are related. Otherwise, even relation would be considered an accident of extrinsic denomination because it depends on an extrinsic term.

Nevertheless, the aforementioned rationale is not hindered by these concerns. For the proposition that quantity follows matter and quality follows form is a common saying among philosophers and does not rely on emanation or inherence solely in matter but on the idea that quantity is the primary disposition of matter because division and indivision are considered with regard to quantity. This is evident from St. Thomas' statements in his works, such as his fourth distinction in De Potentia and questions on potentiality and actuality.

Regarding the second objection, St. Thomas does not establish the last six predicaments as based solely on extrinsic denomination, as seen in the examples of being known or being seen. These do not signify merely an inhering predicate. Instead, these denominations intrinsically posit something within the subject, although depending on something extrinsic, not just terminating or originating the denomination. Thus, these denominations are sometimes said to be derived from something extrinsic, not formally but derivatively. The denomination of these intrinsic modes indeed depends on something extrinsic.

Gisbertus Voetius: Disputation on the Advent of the Messiah (Genesis 49:10)

  The following is taken from the Select Disputations , Vol. 2, pages 57-77. Leaving aside other arguments, we now focus on Genesis 49:10 , ...