“Categorize *this*, Aristotle,” one of his pupils might have said, if it were an exceptionally hot day at the Lyceum of Athens and the students were feeling out of sorts; and no doubt Aristotle would have said, “Alright,” and begun categorizing everything in sight. The man had a positive mania for categorizing, as is evident from even the most cursory reading of Aristotle’s Categories.
It makes sense, in a way, that Aristotle would believe so strongly in the benefits of categorization. Remember, after all, that central image from The School of Athens: an elderly Plato points stubbornly upward, toward idealism and his World of Forms, while Aristotle points just as resolutely downward, believing that all things can be understood in terms of material reality that can be analyzed, charted, dissected, or graphed in scientific terms. Small wonder that Aristotle has been such an inspiration to scientifically minded people in all fields for such a long time.
Aristotle, who takes categorizing very seriously, begins the Categories by stating that “Things are said to be named ‘equivocally’ when, though they have a common name, the definition corresponding with the name varies for each”, whereas “things are said to be named ‘univocally’ which have both the name and the definition answering to the name in common.” That is, a real human being is an animal, while a human being in a picture is not really an animal; but a real human being and a real ox are both animals. Such is the degree of specificity with which Aristotle will be writing of categorization.
The Categories is, to say the least, a difficult and challenging treatise to work with. The Nicomachean Ethics benefits from its generalizability, as each reader is likely to consider Aristotle’s pronouncements on ethical behavior in the context of his or her own moral and ethical decisions over the course of a lifetime. Similarly, one can read The Politics and apply Aristotle’s comparative consideration of the Greek city-states of classical times to the nations of his or her own time. But the Categories occupies a philosophical zone of its own.
I engage in reflections of this kind regarding the Categories when reading passages like this one: “Substance, in the truest and primary and most definite sense of the word, is that which is neither predicable of a subject nor present in a subject”. So, what does “predicable” mean to the philosopher? In terms of scholastic logic, “predicable” refers to the way in which a predicate can relate to its subject. There is a proposition that contains two terms – a subject and a predicate – and the predicate can be affirmed or denied in terms of the subject. It can be affirmed or denied that Socrates is a human being, or that Secretariat is a horse.
Aristotle is also highly interested in substance; he writes that “Everything except primary substances is either predicable of a primary substance or present in a primary substance”. Okay, so what is a primary substance – or, for that matter, a secondary substance? In Aristotle’s logical system, a primary substance is particular and cannot be predicated; a secondary substance is universal and can be predicated. Hence “Socrates” and “Secretariat” are primary substances, while “human being” and “horse” are secondary substances. Aristotle adds that “primary substances are most properly called substances in virtue of the fact that they are the entities which underly everything else”; in other words, one’s status as, say, Socrates underlies everything else about one’s being human.
Considering with his examination of the nature of substance, Aristotle states that “Another mark of substance is that it has no contrary. What could be the contrary of any primary substance, such as the individual man or animal? It has none.” This concept could be a challenging one for many readers, especially as we may be used to thinking of “inhuman” as the opposite of “human” when considering the good or bad actions that people carry out. For Aristotle, though, such questions are matters of ethics, not of categories. Actions can be humane or inhumane, and can be opposites of one another in ethical terms; but there is nothing that is the “opposite” of a human being.
It is interesting to watch Aristotle work with his system of categories, as when he suggests that “The most distinctive mark of substance appears to be that, while remaining one and the same, it is capable of admitting contrary qualities.” He elaborates by stating that “one and the selfsame substance, while retaining its identity, is yet capable of admitting contrary qualities. The same individual person is…at one time warm, at another cold, at one time good, at another bad.” That differentiation between substance on the one hand, and the qualities of a substance on the other, seems to be one of the most important concepts set forth in the Categories.
Relativity – not in the sense of Einsteinian physics, of course, but in a more general sense – is also an important feature of the Categories. Aristotle writes that “Those things are called relative, which, being either said to be of something else or related to something else, are explained by reference to that other thing. For instance, the word ‘superior’ is explained by reference to something else, for it is superiority over something else that is meant. Similarly, the expression ‘double’ has this external reference, for it is the double of something else that is meant.” 4 is a double of 2. Socrates was a superior logician to Crito, or Euthyphro, or Phaedrus. Secretariat, at the Preakness Stakes in Baltimore in 1973, was a better race horse than Torsion (the horse that finished last in that race).
Aristotle is also interested in the idea of quality, writing that “By ‘quality’ I mean that in virtue of which people are said to be such and such. In that regard, he writes, for example, of “affective qualities and affections. Sweetness, bitterness, sourness, are examples of this sort of quality, together with all that is akin to these; heat, moreover, and cold, whiteness, and blackness are affective qualities….Honey is called sweet because it contains sweetness; the body is called white because it contains whiteness; and so in all other cases.”
And thus Aristotle proceeds throughout the Categories discoursing on concepts like action and affection (“Action and affection both admit of contraries and also of variation of degree”). It is a dizzying ascent into the empyrean heights of pure philosophy, a cold and starry race among the constellations of pure logic. It is not for everyone; but if you’re in the mood for a strenuous intellectual challenge, then Aristotle’s Categories may be for you.