Commentary on Aristotle's Metaphysics

 PROLOGUE

 BOOK I

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 5

 LESSON 6

 LESSON 7

 LESSON 8

 LESSON 9

 LESSON 10

 LESSON 11

 LESSON 12

 LESSON 13

 LESSON 14

 LESSON 15

 LESSON 16

 LESSON 17

 BOOK II

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 5

 BOOK III

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 5

 LESSON 6

 LESSON 7

 LESSON 8

 LESSON 9

 LESSON 10

 LESSON 11

 LESSON 12

 LESSON 13

 LESSON 14

 LESSON 15

 BOOK IV

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 5

 LESSON 6

 LESSON 7

 LESSON 8

 LESSON 9

 LESSON 10

 LESSON 11

 LESSON 12

 LESSON 13

 LESSON 14

 LESSON 15

 LESSON 16

 LESSON 17

 BOOK V

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 5

 LESSON 6

 LESSON 7

 LESSON 8

 LESSON 9

 LESSON 10

 LESSON 11

 LESSON 12

 LESSON 13

 LESSON 14

 LESSON 15

 LESSON 16

 LESSON 17

 LESSON 18

 LESSON 19

 LESSON 20

 LESSON 21

 LESSON 22

 BOOK VI

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 5

 LESSON 6

 LESSON 7

 LESSON 8

 LESSON 9

 LESSON 10

 LESSON 11

 LESSON 12

 LESSON 13

 LESSON 14

 LESSON 15

 LESSON 16

 LESSON 17

 BOOK VIII

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 5

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 5

 LESSON 6

 LESSON 7

 LESSON 8

 LESSON 9

 LESSON 10

 LESSON 11

 BOOK X

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 5

 LESSON 6

 LESSON 7

 LESSON 8

 LESSON 9

 LESSON 10

 LESSON 11

 LESSON 12

 Book XI

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 5

 LESSON 6

 LESSON 7

 LESSON 8

 LESSON 9

 LESSON 10

 LESSON 11

 LESSON 12

 LESSON 13

 BOOK XII

 LESSON 1

 LESSON 2

 LESSON 3

 LESSON 4

 LESSON 5

 LESSON 6

 LESSON 7

 LESSON 8

 LESSON 9

 LESSON 10

 LESSON 11

 LESSON 12

 Footnotes

LESSON 9

Do Any Universals Exist Apart from the Singular Things Perceived by the Senses and from Those Which Are Composed of Matter and Form?

Chapter 4: 999a 24-999b 20

             235. But there is a problem connected with these things, which is the most difficult of all and the most necessary to consider, with which our analysis is now concerned.

             236. For if there is nothing apart from singular things, and singular things are infinite in number, how is it possible to acquire scientific knowledge of them? For insofar as there is something that is one and the same, and insofar as there is something universal [which relates to singular things], to that extent we acquire knowledge of them.

             237. But if this is necessary, and there must be something apart from singular things, it will be necessary that genera exist apart from singular things, and they will be either the last or the first. But the impossibility of this has already appeared from our discussion.

             238. Further, if there is something apart from the concrete whole (which is most disputable), as when something is predicated of matter, if there is such a thing, the problem arises whether it must exist apart from all concrete wholes, or apart from some and not from others, or apart from none.

             239. If, then, there is nothing apart from singular things, nothing will be intelligible, but all things will be sensible, and there will be no science of anything, unless one might say that sensory perception is science.

             240. Further, neither will anything be eternal or immobile; for all sensible things perish and are subject to motion.

             241. But if there is nothing eternal, neither can there be generation; for there must be something which has come to be and something from which it comes to be; and the last of these must be ungenerated, since the process of generation must have a limit, and since it is impossible for anything to come to be from non-being.

             242. Further, since generation and motion exist, there must be a terminus; for no motion is infinite but every motion has a terminus. And that which is incapable of coming to be cannot be generated. But that which has come to be must exist as soon as it has come to be.

             243. Further, if matter exists because it is ungenerated, it is much more reasonable that substance should exist, since that is what it (matter) eventually comes to be. For if neither the one nor the other exists, nothing at all will exist. But if this is impossible, there must be something besides the synolon, and this is the form or specifying principle.

             244. But again if anyone holds this to be true, the problem arises in what cases one may hold this and in what not. For evidently this is not thought to be so in all cases. For we do not hold that there is a house apart from particular houses.

COMMENTARY

             443. Having debated the question whether universals are the principles of things, the Philosopher now raises a question about their separability, namely, whether there is anything separate from sensible things as their principle. In regard to this he considers two questions. The first (235:C 443) of these is whether universals are separate from singular things. The second (238:C 447) is whether there is any formal [principle] separate from things which are composed of matter and form ("Further, if there is something").

             In regard to the first he does three things. First, he describes the problem. Second (236:C 444), he argues one side of the question ("For if there is nothing"). Third (237:C 445), he argues the other side of the question ("But if this is").

             Accordingly, this problem arises with regard to a point mentioned in the last argument of the preceding question, namely, whether a universal is separate from singular things, as the aforesaid argument supposed. He describes this problem as "the one with which our analysis is now concerned (235)," i.e., the one which immediately preceded the foregoing argument. And he speaks of it in this way: first, that "it is connected with," i.e., is a consequence of, the foregoing one, because, as has already been stated, the consideration of the preceding question depends on this. For if universals are not separate, they are not principles; but if they are separate, they are principles. Second, he speaks of this problem as the most difficult of all the problems in this science. This is shown by the fact that the most eminent philosophers have held different opinions about it. For the Platonists held that universals are separate, whereas the other philosophers held the contrary. Third, he says that this problem is one which it is most necessary to consider, because the entire knowledge of substances, both sensible and immaterial, depends on it.

             444. For if there is nothing (236).

             Here he advances an argument to show that universals are separate from singular things. For singular things are infinite in number, and what is infinite cannot be known. Hence all singular things can be known only insofar as they are reduced to some kind of unity which is universal. Therefore there is science of singular things only inasmuch as universals are known. But science is only about things which are true and which exist. Therefore universals are things which exist of themselves apart from singular things.

             445. But if this is (237).

             Then he argues the other side of the question in this way: if it is necessary that universals be something apart from singular things, it is necessary that genera exist apart from singular things, either the first genera or also the last, which are immediately prior to singular things. But this is impossible, as is clear from the preceding discussion. Therefore universals are not separate from singular things.

             446. The Philosopher solves this problem in Book VII (659:C 1592) of this work, where he shows in many ways that universals are not substances which subsist of themselves. Nor is it necessary, as has often been said, that a thing should have the same mode of being in reality that it has when understood by the intellect of a knower. For the intellect knows material things immaterially, and in a similar way it knows universally the natures of things which exist as singulars in reality, i.e., without considering the principles and accidents of individuals.

             447. Further, if there is something (238).

             Here he raises another question, namely, whether anything is separate from things composed of matter and form; and in regard to this he does two things. First, he raises the question. Second (239:C 448), he proceeds to deal with it ("If, then, there is").

             In regard to the first it should be observed that he first raises the question whether a universal is separate from singular things. Now it happens to be the case that some singular things are composed of matter and form. But not all singular things are so composed, either according to the real state of affairs, since separate substances are particular because existing and operating of themselves, or even according to the opinion of the Platonists, who held that even among separate mathematical entities there are particulars inasmuch as they held that there are many of them in a single species. And while it is open to dispute whether there is anything separate in the case of those things which are not composed of matter and form, as the universal is separate from the particular, the problem is chiefly whether there is anything separate in the case of things which are composed of matter and form. Hence he says that the point which causes most difficulty is whether there is something "apart from the concrete whole," i.e., apart from the thing composed of matter and form. The reason why a composite thing is called a concrete whole he explains by adding "when something is predicated of matter." For Plato held that sensible matter participates in separate universals, and that for this reason universals are predicated of singular things. These participations in universal forms by material sensible things constitute a concrete whole inasmuch as a universal form is predicated of matter through some kind of participation. Now in regard to these things he raises a question which has three parts, namely, whether there is anything that exists apart from all things of this kind, or apart from some and not from others, or apart from none.

             448. If, then, there is (239).

             Here he proceeds to deal with this problem; and concerning it he does two things. First, he argues against the position that nothing can be held to be separate from things composed of matter and form. Second (244:C 454), he argues the other side of the question ("But again if anyone holds this").

             In regard to the first (239) he advances two arguments. First, he argues from the principle that those things which are composed of matter and form are sensible things; and therefore he proposes that those things which are composed of matter and form are singulars. However, singular things are not intelligible but sensible. Therefore, if there is nothing apart from singular things which are composed of matter and form, nothing will be intelligible but all beings will be sensible. But there is science only of things which are intelligible. Therefore it follows that there will be no science of anything, unless one were to say that sensory perception and science are the same, as the ancient philosophers of nature held, as is stated in Book I of The Soul. But both of these conclusions are untenable, namely, that there is no science and that science is sensory perception. Therefore the first position is also untenable, namely, that nothing exists except singular things which are composed of matter and form.

             449. Further, neither will anything (240).

             Second, he argues on the grounds that things composed of matter and form are mobile. He gives the following argument. All sensible things composed of matter and form perish and are subject to motion. Therefore, if there is nothing apart from beings of this kind, it will follow that nothing is eternal or immobile.

             450. But if there is (241).

             Here he shows that this conclusion is untenable, namely, that nothing is eternal and immobile. He does this, first, with respect to matter; and second (242:C 451), with respect to form ("Further, since generation").

             Accordingly, he says first (241) that if nothing is eternal, it is impossible for anything to be generated. He proves this as follows. In every process of generation there must be something which comes to be and something from which it comes to be. Therefore, if that from which a thing comes to be is itself generated, it must be generated from something. Hence there must either be an infinite regress in material principles, or the process must stop with some first thing which is a first material principle that is ungenerated, unless it might be said, perhaps, that it is generated from non-being; but this is impossible. Now if the process were to go on to infinity, generation could never be completed, because what is infinite cannot be traversed. Therefore it is necessary to hold either that there is some material principle which is ungenerated, or that it is impossible for any generation to take place.

             451. Further, since generation (242).

             Here he proves the same thing with respect to the formal cause; and he gives two arguments, the first of which is as follows. Every process of generation and motion must have some terminus. He proves this on the grounds that no motion is infinite, but that each motion has some terminus. This is clear in the case of other motions which are completed in their termini. But it seems that a contrary instance is had in the case of circular motion, which can be perpetual and infinite, as is proved in Book VIII of the Physics. And even though motion is assumed to be eternal, so that the entire continuity of circular motion is infinite insofar as one circular motion follows another, still each circular motion is both complete in its species and finite. That one circular motion should follow another is accidental so far as the specific nature of circular motion is concerned.

             452. The things which he said about motion in general he proves specially in regard to generation; for no process of generation can be infinite, because that thing cannot be generated whose process of generation cannot come to an end, since the end of generation is to have been made. That its being made is the terminus of generation is clear from the fact that what has been generated must exist "as soon as it has come to be," i.e., as soon as its generation is first terminated. Therefore, since the form whereby something is, is the terminus of generation, it must be impossible to have an infinite regress in the case of forms, and there must be some last form of which there is no generation. For the end of every generation is a form, as we have said. Thus it seems that just as the matter from which a thing is generated must itself be ungenerated because it is impossible to have an infinite regress, in a similar way there must be some form which is ungenerated because it is impossible to have an infinite regress in the case of forms.

             453. Further, if matter exists (243).

             He gives the second argument, which runs thus. If there is some first matter which is ungenerated, it is much more reasonable that there should be some substance, i.e., some form, which is ungenerated, since a thing has being through its form, whereas matter is rather the subject of generation and transmutation. But if neither of these is ungenerated, then absolutely nothing will be ungenerated, since everything which exists has the character of matter or form or is composed of both. But it is impossible that nothing should be ungenerated, as has been proved (242:C 452). Therefore it follows that there must be something else "besides the synolon," or concrete whole, i.e., besides the singular thing which is composed of matter and form. And by something else I mean the form or specifying principle. For matter in itself cannot be separated from singular things, because it has being only by reason of something else. But this seems to be true rather of form, by which things have being.

             454. But again if anyone (244).

             Here he argues the other side of the question. For if one holds that there is some form separate from singular things which are composed of matter and form, the problem arises in which cases this must be admitted and in which not. For obviously this must not be held to be true in the case of all things, especially in that of those made by art. For it is impossible that there should be a house apart from this sensible house, which is composed of matter and form.

             455. Now Aristotle solves this problem partly in Book XII (1055:C 2488) of this work, where he shows that there are certain substances separate from sensible things and intelligible in themselves; and partly in Book VII (630:C 1503), where he shows that the forms or specifying principles of sensible things are not separate from matter. However, it does not follow that no science of sensible things can be had or that science is sensory perception. For it is not necessary that things have in themselves the same mode of being which they have in the intellect of one who knows them. For those things which are material in themselves are known in an immaterial way by the intellect, as has also been stated above (C 446). And even though a form is not separate from matter, it is not therefore necessary that it should be generated; for it is not forms that are generated but composites, as will be shown in Book VII (611:C 1417) of this work. It is clear, then, in what cases it is necessary to posit separate forms and in what not. For the forms of all things which are sensible by nature are not separate from matter, whereas the forms of things which are intelligible by nature are separate from matter. For the separate substances do not have the nature of sensible things, but are of a higher nature and belong to another order of existing things.