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Introduction to Scholastic Ontology
Introduction to Scholastic Ontology
http://www.nd.edu/~afreddos/courses/618/introsch.htm
Introduction to Scholastic Ontology
http://www.nd.edu/~afreddos/courses/618/introsch.htm
various types of constituents posited by mainline Aristotelian scholastic
metaphysicians.
Introduction to Scholastic Ontology
II. Modes of Composition in Scholastic Ontology
A. Physical composition
I. Constituent Ontology
The requirement of physical composition arises from the analysis of change.
Aristotle posited three principles of change, viz., privation, form, and matter. The
matter of a given change is that which perdures through the change and is
modified by the change, whereas the form is the terminus ad quem of the change
and the privation the terminus a quo of the change.
A constituent ontology, as I am conceiving of it, aims at a general characterization
of substances in terms of various types of constituents which are in some
straightforward sense intrinsic to them and compatible with their status as unified
wholes. Scholastic ontology is in this broad sense a constituent ontology.
Now every plausible ontology of material substances must acknowledge that such
substances have material constituents or parts and can thus be characterized as
composite in that sense. However, scholastic ontology sees the natures (or
essences) of such substances, as well as their characteristics (or accidents), as
individuals intrinsic to those substances and capable of existing only within
singular substances. The natures of such substances constitute them as entities of a
given natural kind, whereas their accidents (both those that emanate directly from
the natures and those that are peculiar to particular substances within a given
natural kind) are related to them by the 'transcendental' relation of inherence .
In cases of qualified or accidental change, this analysis requires that there be a
composition of substance and accident, where the substance is the matter of the
change and the accident which comes to modify the substance is the form. This
accident or accidental form is a reality (perfection, sort of being) that depends for
its existence on the existence of the substance in which it inheres. Such accidents
are usually taken to fall into categories along the lines suggested by Aristotle,
though among the later medievals there were heated debates about the status of
accidents. Ockham, for instance, saw Aristotle's categories as a classification of
terms rather than of entities and went on to argue that only certain terms in the
category of quality signify distinctive entities; Suarez and St. Thomas, grants a
type of reality to all accidents, though Suarez assigns some the status of modes,
which, unlike full-fledged accidents, are only "modally distinct" and not "really
distinct" from the substances in which they inhere. (A real distinction implies
separability at least by God's absolute power.) Modes are something like states of
substances and have less unity and independence than do, say, qualities. In any
case, the three basic types of accidental change are (i) alteration (change with
respect to quality), (ii) augmentation and diminution (change with respect to
quantity), and local motion (change with respect to place). All changes with
respect to other categories are reducible, i.e., able to be traced back, to these three.
A non-constituent ontology, by contrast, aims at a general characterization of
substances in terms of their relations to entities (e.g., Platonistically conceived
universals or properties, including abstract essences and natures) that have their
being and reality independently of those substances. These natures and
characteristics of substances are in some obvious way extrinsic to them and linked
to them by the relation of exemplification or participation . On such a view all
individuals are in some sense lacking in intrinsic composition at any level other
than that of integral parts. At the very least, this sort of ontology does not think of
other sorts of composition as ontologically significant.
The recent literature on divine simplicity in analytic philosophy of religion
illustrates well how skewed matters become when those who work within a
non-constituent ontology try to address without adequate care or preparation
relevant aspects of scholastic metaphysics. For the scholastics were able to fashion
a substantive and metaphysically interesting account of the distinction between
God and creatures by characterizing God as wholly simple, i.e., wholly lacking in
the sorts of composition characteristic of creaturely substances. Thus, they
claimed, for instance, that in God there is no composition of form and matter, of
substance and accident, of esse and essentia , or of genus and difference. However,
each of these claims, if transformed without due care into the framework of
non-constituent ontology, leads to patent absurdities. (For an analysis of this
situation I recommend Nicholas Wolterstorff, "Divine Simplicity," Philosophical
Perspectives 5 (1991): 531-552.)
But Aristotle insisted, apparently in keeping with common sense but contrary to
received philosophical wisdom, that at least some really real things ( ousiai ) could
themselves come into and pass out of existence through change. If such
unqualified or substantial change is possible, there must be within the relevant
substances (or individual natures) a composition of (primary) matter and
(substantial) form. So the same matter can successively be a constituent of
different substances and even of different kinds of substances. The types of
substantial change are generation and corruption. (A note on Empedocles,
Anaxagoras, and the atomists).
The form/matter and substance/accident distinctions can both be seen as
determinations of the more general distinction between act and potency , since in
each case what we have is a determinable "matter" (a potentiality) being
determined or actualized or brought to completion by a determinant "form" (an
actuality), which is the terminus of the change.
In what follows I will try to explain the motivations for the postulation of the
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Introduction to Scholastic Ontology
http://www.nd.edu/~afreddos/courses/618/introsch.htm
Introduction to Scholastic Ontology
http://www.nd.edu/~afreddos/courses/618/introsch.htm
Aquinas's distinction between being ( esse ) and essence is yet another instance of
this general distinction between act and potency, one that is meant to
accommodate, contrary to received philosophical wisdom, the possibility of an
exercise of efficient causality that is not a modification of an existing matter or
substratum but is instead a creation ex nihilo of a substance with all its accidents
( essentia ). In this case the notion of a principle of potentiality is stretched a bit,
since this principle does not exist prior to the exercise of efficient causality.
Nonetheless, Aquinas and his followers insist that the distinction between esse and
essence is a real distinction (in his sense of 'real distinction', which does not
involve separability) on a par with the distinctions between substance and accident
and between form and matter. (Suarez takes this distinction to be a conceptual
distinction with a foundation in reality, but this difference is not of present concern
to us.)
term has a composite definition that signals similarities among natural kinds
as well as differences. For instance, both angels and aardvarks are
substances, but the former are immaterial whereas the latter are material.
The question then is: Is there a distinctive metaphysical constituent of a
substance corresponding to each element in its definition? To take the
simple hackneyed example, is there within a human being a distinctive
'metaphysical' constituent corresponding to each of the following
natural-kind terms: 'substance', 'body' ('material substance'), 'living
substance', 'sentient substance' ('animal'), 'rational', and, finally, 'human
being' itself?
Duns Scotus, for one, argued that there must be distinctive constituents of
this sort (he called them 'formalities') if scientific methodology and theories
are to be well-grounded. This is why he thought of them as 'metaphysical'
constituents and then was faced with the problem of relating these
metaphysical constituents to the corresponding physical constituents
(matter/form) of the same substance. Also, Scotus thought that among the
metaphysical constituents or formalities of a given substance there must be
an individuator or individual difference that accounts for that substance's
metaphysical distinctness from the other members of the same lowest-level
species.
Thus we have the following:
Type of Causality
Act
(Passive)
Potency
creation/annihilation
esse
essentia
Most other scholastics, by contrast, deny that substances have distinctive
metaphysical constituents in addition to their physical constituents.
According to them, the problem is to show how the various logical or
conceptual constituents of natural kind concepts and their definitions are
related to the physical constituents of the relevant substances. How, for
instance, are distinctions like matter/form and substance/accident related to
concepts of genus, species, and difference? And in the background is the
question that held Aristotle's attention in the impenetrable middle books of
the Metaphysics , viz., how can entities that exhibit these various modes of
composition have the unity characteristic of primary substances?
unqualified change:
generation & corruption
(substantial)
form
(primary)
matter
qualified change:
alteration & augmentation/diminution
& local motion
accident
substance
B. Logical (alternatively: metaphysical) composition
The postulation of modes of physical composition arises from the analysis
of change; there is another sort of composition, the postulation of which
arises from broadly scientific considerations. If we think of scientific
theorizing as beginning with a taxonomy of natural kinds arranged
according to species and genus (reminiscent of Aristotle's category of
substance ), and if we think of the goal of scientific inquiry as objective
knowledge of the natures of physical substances, then we will naturally ask
about the metaphysical grounds for our use of natural kinds terms, their
definitions, and predications in which such terms appear as the subject and
various (discovered) properties that 'emanate from' the relevant natures or
essences appear as predicates, e.g., 'Salt is soluble in water'. Such statements
(or 'laws') are in some obvious sense about universals or common natures
rather than primarily about singulars; or at least this much is true: If George
is a chunk of salt, then George is soluble by virtue of its being constituted as
a member of the natural kind salt .
With this background we are ready to look at the first two sections of
Disputation 5, in which Suarez characterizes singular or individual unity and
then asks what this sort of unity adds to the common nature in such a way as
to compose with that common nature a singular substance.
Alfred J. Freddoso
University of Notre Dame
Now all the scholastics agree that each secondary-substance or natural kind
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Disp. 5, sect. 1
http://www.nd.edu/~afreddos/courses/618/dm0501.htm
Disp.5,sect.1
http://www.nd.edu/~afreddos/courses/618/dm0501.htm
Disputation 5, Section 1:
i.e., divisible into many entitates which are such as it itself is." Note
that even per accidens unities (e.g., a heap of stones), numbers greater
than one, and common natures (i.e., genera and species) themselves
have a sort of individuality. But they do not have full-fledged singular
unity because they are not per se entities, i.e., entities that as such
have natures capable of existing `in an unmediated way'. "So the
notion of per se individual and singular unity consists in entitas that is
by its nature one per se and is undivided or incommunicable in the
aforementioned sense."
Are all things that exist or are able to exist singular and
individual?
I. Reasons for doubting an affirmative answer (n. 1)
A. The case of God : The divine nature is communicable to the three
divine persons, in the same way that the common nature human being ,
which is not a singular entity, is communicable to many individuals.
III. the resolution of the question (nn. 4-5)
B. The case of angels : Angels have only specific or essential unity and
not numerical or singular unity. So each angel is akin to what the
common nature human being would be if it existed on its own as
such.
A. The answer : "Given that the notion of an individual or singular
being has been explicated in the above way, one should claim that all
things which are actual beings, i.e., which exist or are able to exist in
an unmediated way, are singular and individual. I say `in an
unmediated way' in order to exclude the common natures of things,
which cannot as such exist in an unmediated way or have actual
entitas except within singular and individual entities--the latter being
such that if they are destroyed, then it is impossible for anything real
to remain."
C. The case of common natures as existing in individuals : The
common nature human being exists in Peter and Paul and is not as
such a singular thing.
II. An analysis of the notion of individual (or singular or numerical)
unity (nn. 2-3)
Question: Given this, what distinguishes common natures from
accidents?
B. Argument :
A. Analysis : That which is singular or individual is opposed to that
which is common or universal (i.e., that which has specific or generic
unity rather than numerical unity) in the sense that that which is
singular or individual "is one in such a way that, under that notion of
being by which it is called one, it is not communicable to many as to
things which are [logically] inferior to or subordinated to it, or to
things which are many within that same notion." For instance, the
common nature human being lacks singular unity because it is
communicable to and common to many humanities (Peter, Paul, Joan,
etc.) which share the same notion, viz., human being . By contrast,
Peter, i.e., this humanity, is not common to many individuals which
share the notion this humanity . Also, Peter and Paul are subordinated
to human being in the sense of falling under it as determinates under a
determinable. So what is distinctive about numerical or individual
unity is the negation of a certain sort of divisibility, viz., divisibility of
a determinable into lower-level determinates.
(1) Whatever exists has a fixed and determinate entitas .
(2) But every such entitas has an added negation.
Therefore, every such entitas has singularity and individual
unity.
Proof of (2): Every entitas , by the very fact that it is a
determinate entitas , is unable to be divided from itself;
therefore, every entitas is also such that it cannot be
divided into many entitates which are such as it is (since
otherwise the whole entitas would be in each of them and
so it would, insofar as it exists in one of them, be divided
from itself insofar as it exists in another--which is
manifestly absurd).
According to Suarez, this argument shows that universals
cannot exist in reality separate from singular things. The
argument depends crucially on the rhetorical question:
How can a universal be truly predicated of, or essentially
constitute, a singular thing unless it exists in that thing?
That is, how can the essence or nature of a given thing be
B. Amplification : "Singular entitas is such that it is not the case that
its whole notion ( ratio ) is communicable to many similar entitates ,
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Disp. 5, sect. 1
http://www.nd.edu/~afreddos/courses/618/dm0501.htm
Disp.5,sect.1
http://www.nd.edu/~afreddos/courses/618/dm0501.htm
something separate from it that does not exist within it?
This is precisely the question that many modern-day
Platonists answer with a resounding: "Easy! That's just
the way it is."
C. The plurality question: What makes numerical plurality within a
given species possible? That is, what is the metaphysical ground for
the possibility that there should exist more than one individual of a
given species? (This question is obviously different from the
individuality question, since it is conceivable that an individual should
belong to a species that cannot be multiplied into many individuals;
this, of course, is just what St. Thomas himself believes to be true of
the angelic species. The plurality question also differs from the
distinctness question, even though they are intimately related; for the
distinctness question has a place only on the assumption that there is a
plurality of individuals within a given species.)
IV. Reply to original reasons for doubting an affirmative answer (nn.
6-8)
To A : The divine nature is singular and is communicable to the
persons not as a superior to an inferior (or species to an individual),
but in the manner of a form to a suppositum. The nature is not divided
from itself, but instead is whole in each of them. Note, then, that the
relation of the divine nature to the three divine persons is not to be
thought of as like the relation of the common nature human being to
Peter, Joan, and Paul. It's rather as if the same singular humanity were
each of Peter, Joan, and Paul. This is why the Trinity is mysterious.
To B : Some Thomists think that spiritual natures are like abstract
specific essences, but this will be discussed later. In the meantime, we
simply deny that angelic natures are anything other than singulars, and
this independently of how one answers the question of whether an
angelic nature can be multiplied in many individuals within the same
species.
To C : Human being , as it exists in reality, is singular, since it is
nothing other than Peter, Paul, etc. But whether it is in any sense
distinct from the individuals will be discussed in the next chapter.
V. Three separate questions concerning individuation
A. The individuality question: What is the intrinsic principle by virtue
of which a thing of a given species, say the species aardvark , is this
aardvark or numerically one aardvark or an individual aardvark? That
is, what constitutes it as something which is, as the Latin term
individuum suggests, indivisible into things each of which shares the
very same notion?
B. The distinctness question: Given a pair of individuals of the same
species, what is the intrinsic principle by virtue of which this one is
distinct from that one? (Note that distinctness is different from
individuality or numerical unity, since distinctness, unlike
individuality, is a relation that presupposes the existence of at least
two individuals.)
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Disp. 5, sect. 2
http://www.nd.edu/~afreddos/courses/618/dm0502.htm
Disp.5,sect.2
http://www.nd.edu/~afreddos/courses/618/dm0502.htm
Disputation 5, Section 2:
A. Affirmative : "The first position affirms in general that at least in the
case of created things the individual adds to the common nature some
real mode which (i) is in reality distinct from the nature itself and
which (ii) composes, along with that nature, the individual itself."
Is it the case that in all natures the individual and singular thing
as such adds something over and beyond the common, i.e.,
specific, nature?
Main protagonist: Scotus with his individual differences. The
main arguments stem from (i) the object of scientific
knowledge (viz., the common nature) and its distinction from
individuals that have that nature, and from (ii) reflection on the
idea that the common nature, which constitutes the essence of
the individual, is common to many individuals and so cannot
itself account for individuality, which must consequently be
traced to some other reality.
I. The nature of the question (nn. 1 & 7)
"In order to clarify what this [individual and singular unity] is, we
cannot do better than to explain what it adds over and above the
common nature, i.e., the nature that is conceived by us abstractly and
universally."
B. Negative : "The second position is the exact opposite, viz., that the
individual adds to the common nature nothing that is positive and real
and nothing that is distinct, either really or conceptually, from that
nature; rather, each thing or nature is per se an individual in an
unmediated and primary way."
"None of the authors doubts that the individual adds, over and beyond
the common nature, a certain negation that formally completes or
constitutes the unity of the individual. This is evident ... from what we
said above concerning the notion or nominal definition of an
individual. Indeed, if we are speaking formally about the individual
insofar as it is one in the relevant sense, it adds a negation in its
formal concept not only over and beyond the common nature
conceived of abstractly and universally, but even over and beyond the
whole singular entitas conceived of merely under a positive concept;
for this whole entitas is not conceived of as one in a singular and
individual way until it is conceived of as incapable of being divided
into many things that have the same notion."
Main protagonists: Ockham, Biel, and the other nominalists.
The main argument is that there is no conceivable thing that is
not singular and so it is absurd that an [already existent] thing
should become individual by the addition of some real thing
over and beyond the common nature. Also, this addition would
be either essential to the thing or accidental to it--and both
answers lead to absurdities.
C. Affirmative for material things and negative for spiritual things :
"The third position is able to make use of the distinction between
spiritual and material things. For in the case of immaterial things the
singular thing adds nothing over and beyond the common nature,
whereas in material things it does add something ... The foundation
for this position is the claim that since immaterial substances neither
have matter nor bespeak a relation to matter, it is impossible to
imagine anything in them which they add over and beyond the
essence, and so they are individuals by their very selves; by contrast,
in composite things designated matter is added, and from this matter
one can infer something that the individual adds over and beyond the
species."
"Therefore, the present problem is not about whether or not such a
negation formally pertains to the notion of this sort of unity ... Rather,
it is a problem about the ground for this negation . For since it does
not seem able to be grounded in the common nature (given that the
common nature is of itself indifferent and does not require such a lack
of divisibility into many similar things, but is indeed divided into
them), we are asking what it is within the singular and individual
thing by reason of which this negation belongs to it ."
So the question is: does individual unity add to the individual some
positive entity over and above the common nature, a positive entity
that grounds the indivisibility that defines individuality?
Main protagonists: Various Thomists (including St. Thomas?),
following Aristotle's dictum that in material things there is a
distinction between the essence ( quod quid est ) of a thing and
that which has the essence ( id cuius est ), whereas there is no
such distinction in immaterial things. The background idea is
that in the case of material things matter is in some way a
source of individuality.
II. Three popular positions on this question (nn. 2-6)
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