Aristotle’s Categories, Chapter 1

Famous Passages is an ongoing series explaining notable or influential passages in ancient philosophy.

Aristotle’s Categories is often the first of his works that one should study.  It lays the groundwork for all the philosophizing to follow, and it begins with analysis at its most basic: things and the words we attach to things.

Aristotle introduces three important terms in Categories 1a.

1. The first is what is often more helpfully translated equivocal, but literally in the Greek is homonymous.  This term designates those things which share only a name in common, yet the definition or essence of each thing differs.  The example which Aristotle uses for equivocal terms is a little confusing, since, as can be expected when dealing with ambiguities in language, the Greek does not translate nicely into English.  In Greek the word zoon (ζῷον) can mean either “animal” (it usually means this and this word is where we get English zoo, zoology, etc) or it can also mean “painting.”  Perhaps the meaning “painting” derived from the original meaning of “animal” because animals (including humans) were predominately the subject of paintings.  His example then, is that both a man and the Mona Lisa are both zoon, where in the first instance an animal is intended and in the latter a painting.

2. The second is often termed, in consistency of use with the first term, univocal, though in Greek it is synonomous.  When talking of two things which are univocal, in the Aristotelian sense, we are saying that they share the same name and same definition.  This is not saying something very obvious and simplistic however, such as “table” is the same as “table.”  What Aristotle is driving at here is that a man and an ox are both “animal.”  What does this mean?  That man and an ox are both “animal” in that a) they both can be called “animal” b) they both share the same definition.  This latter part might seem surprising; after all, man and ox are two different types of animals.  But what Aristotle intends here is that the definition of animal, viz. a living creature with metabolism, etc. equally and properly applies to both man and ox.

3. The last term is not of a same piece with the first two.  In Greek the word used is paronymous, although the term derivative is much clearer.  These are those things which can gain their name from something else yet can differ in their endings.  Aristotle gives as his examples “grammarian” as deriving from “grammar” and “bravery” deriving from “brave.”  But this is no mere linguistic point nor Aristotle wishing to point out the dependence of some words on others.  As J.A. Ackrill brings up in his translation, we should be aware that grammar and grammarian both deal with the domain or genus of grammar, but we express this linguistically by saying grammar and grammarian, while understanding that a grammarian is one who deals in grammar.  As he puts it, “If we wish to ascribe generosity to Callias we do not say that he is generosity, but that he is generous” (Ackrill, Aristotle’s Categories and De Interpretatione, 1963, p. 72).

 

Problems with Plato: Animal Diversity and Robust Division

Yesterday, I brought up some difficulties that occur in the first method of division presented in Aristotle’s Parts of Animals.

“Some construe the individual species by dividing the group into two differentiae.  In one way this is not easy, in another impossible.  For of some there will be only one differentia, but the other terms will be superfluous, such as in the case of footed, two-footed, footed with parted toes.  For this last differentia alone is proper” (Parts of Animals, 642b5-9)?

Before discussing the difficulties again, it must be taken into consideration, of course, that since he is embarking on a criticism of Academic methodology, any philosophical difficulties arising from this process of division might in fact owe to chinks in the armor which Aristotle himself was trying to illuminate.  He might very well be bringing some of these difficulties to light without proceeding to explain them.

A couple of the difficulties I brought up yesterday were:

“It is not true that the concept of “footed with parted toes” includes “two footed” and “footed.” viz. lizards

It is also clear from his use of the term elsewhere, that “footed with parted toes (σχιζόπους)” is not meant to designate any particular species alone, such as humans (cf. HA 593a28, concerning birds).”

A mistake one could make, at least in Aristotle’s construal of the division, is failing to recognize that at every point of the division a particular animal is being guided through each step of the division.  So, in this example, one has to have in mind a particular animal which one leads through each “gate” of the division.  There is no abstracted “two-footed,” in other words; differentiae always belong to real animals.  (This is one reason why Aristotle says shortly that there cannot be divisions of non-being, for no animals correspond to such a division.)

In fact, Aristotle will return to this division at 643b29 ff.  He says there two interesting things.  He affirms that with this method both (a) that only one differentia will be arrived at (b) it is impossible for one differentia to be adequate for a species.  In light of this he brings up the same “footed, two-footed, footed with parted toes,” tri-partite division.  Only this time he applies it to “man” (ἄνθρωπος).  He points out that man is many other things besides possessing parted toes.

Both of these judgments merge into a single criticism: there is a need for there to be multiple differentia, although the Academic method cannot allow for it, it is not so much wrong, as it is inadequate.  One reason for a need for more lines of division is that there are many homologous features in animals.  Similar body plans, parts, and functions means that there will be many animals with split-toed feet.  Because of this diversity there will be a corresponding need for a robust method of division.

Parts of Animals: Dividing Feet, Divided Opinions

“Some construe the individual species by dividing the group into two differentiae.  In one way this is not easy, in another impossible.  For of some there will be only one differentia, but the other terms will be superfluous, such as in the case of footed, two-footed, footed with parted toes.  For this last differentia alone is proper.”
(Aristotle, Parts of Animals, 642b5-9 Greek follows below)

This begins that section of the Parts of Animals concerning a critique of the Platonic method of division, here namely in light of animal divisions.  This initial critique begins with bifurcation, that is, division of animals into X or not-X.  (This is meant to include not only antinomies, i.e. winged and wingless, but also opposites such as black and white, as well as other empirically inducted differences.)  Since this small passage kicks off the discussion, it would desirable to obtain some clarity about it. Exampling this method, by taking the X route, Aristotle proceeds from “footed,” leaving “non-footed” to the side.  He then further divides “footed” into “two-footed” and “footed with parted toes.”  “Footed with parted toes” is said to be proper or valid (κυρία).  This presumably means that the terms “footed” and “two-footed” are unnecessary, as they are included in the concept of “footed with parted toes.”  This is what Aristotle means by “some terms being superfluous (περίεργα).”

However a number of problems remain:
It is not true that the concept of “footed with parted toes” includes “two footed” and “footed.” viz. lizards

It is also clear from his use of the term elsewhere, that “footed with parted toes (σχιζόπους)” is not meant to designate any particular species alone, such as humans (cf. HA 593a28, concerning birds).

Perhaps this introductory polemic is intended by Aristotle to conjure up the Academic chestnut that man is a featherless biped, showing here, of course, both how absurd that notion is and its genesis in a faulty method of division. (See Statemans 266e for the origin of the featherless biped.)

Λαμβάνουσι δ’ ἔνιοι τὸ καθ’ ἕκαστον, διαιρούμενοι τὸ (5)
γένος εἰς δύο διαφοράς. Τοῦτο δ’ ἐστὶ τῇ μὲν οὐ ῥᾴδιον, τῇ δὲ
ἀδύνατον. Ἐνίων γὰρ ἔσται διαφορὰ μία μόνη, τὰ δ’ ἄλλα
περίεργα, οἷον ὑπόπουν, δίπουν, σχιζόπουν· αὕτη γὰρ
μόνη κυρία. Εἰ δὲ μή, ταὐτὸν πολλάκις ἀναγκαῖον λέγειν.