(The Stoics, who condensed Aristotle's categories to four, substrate, quality-mode and relation),[280] who admit the existence of nothing else than bodies, acknowledge no existence other than that contained by bodies. They insist that there is but one kind of matter, which serves as substrate to the elements, and that it constitutes "being"; that all other things are only affections ("passions") of matter, or modified matter: as are the elements. The teachers of this doctrine do not hesitate to introduce this matter into the (very nature of the) divinities, so that their supreme divinity is no more than modified matter.[281] Besides, of matter they make a body, calling it a "quantityless body," still attributing to it magnitude.

MATTER ACCORDING TO THE PYTHAGOREANS, PLATONISTS AND ARISTOTELIANS.

Others (Pythagoreans, Platonists and Aristotelians) insist that matter is incorporeal. Some even distinguish two kinds of matter, first, the (Stoic) substrate of bodies, mentioned above; the other matter being of a superior nature, the substrate of forms and incorporeal beings.

THE ARISTOTELIAN INTELLIGIBLE MATTER.

2. Let us first examine whether this (latter intelligible) matter exists, how it exists, and what it is. If (the nature) of matter be something indeterminate, and shapeless, and if in the perfect (intelligible beings) there must not be anything indeterminate or shapeless, it seems as if there could not be any matter in the intelligible world. As every (being) is simple, it could not have any need of matter which, by uniting with something else, constitutes something composite. Matter is necessary in begotten beings, which make one thing arise out of another; for it is such beings that have led to the conception of matter (as thought Aristotle).[282] It may however be objected that in unbegotten beings matter would seem useless. Whence could it have originated to enter in (among intelligible beings), and remain there? If it were begotten, it must have been so by some principle; if it be eternal, it must have had several principles; in which case the beings that occupy the first rank would seem to be contingent. Further, if (in those beings) form come to join matter, their union will constitute a body, so that the intelligible (entities) will be corporeal.

INTELLIGIBLE MATTER IS NOT SHAPELESS.

3. To this it may first be answered that the indeterminate should not be scorned everywhere, nor that which is conceived of as shapeless, even if this be the substrate of the higher and better entities; for we might call even the soul indeterminate, in respect to intelligence and reason, which give it a better shape and nature. Besides, when we say that intelligible things are composite (of matter and form), this is not in the sense in which the word is used of bodies. Even reasons would thus be called composite, and by their actualization form another alleged composite, nature, which aspires to form. If, in the intelligible world, the composite tend toward some other principle, or depend thereon, the difference between this composite and bodies is still better marked. Besides, the matter of begotten things ceaselessly changes form, while the matter of the intelligible entities ever remains identical. Further, matter here below is subject to other conditions (than in the intelligible world). Here below, indeed, matter is all things only partly, and is all things only successively; consequently, amidst these perpetual changes nothing is identical, nothing is permanent. Above, on the contrary, matter is all things simultaneously, and possessing all things, could not transform itself. Consequently, matter is never shapeless above; for it is not even shapeless here below. Only the one (intelligible matter) is situated differently from the other (sense-matter). Whether, however, (intelligible matter) be begotten, or be eternal, is a question that cannot be determined until we know what it is.

THE NATURE OF IDEAS IMPLIES AN INDIVIDUAL FORM, WHICH AGAIN IMPLIES A SUBSTRATE.

4. Granting now the existence of ideas, whose reality has been demonstrated elsewhere,[283] we must draw their legitimate consequences. Necessarily ideas have something in common, inasmuch as they are manifold; and since they differ from each other, they must also have something individual. Now the individuality of any idea, the difference that distinguishes it from any other, consists of its particular shape. But form, to be received, implies a substrate, that might be determined by the difference. There is therefore always a matter that receives form, and there is always a substrate (even in ideas, whose matter is genus, and whose form is its difference).