1a…
Things are said to be named equivocally when two things have a common name (you use the same word to refer to each) but the definition differs for each. Here's something like Aristotle’s example: we use the word “man” when referring to me and when referring to a picture of a man, Orestes, for example, in Bouguereau’s Orestes pursued by the Furies. But when it comes to defining the referents, they differ. A man is the animal with logos, and Orestes (in the painting) is a two-dimensional representation of a human figure. Bouguereau’s Orestes is not a rational animal but the representation of one in a specific medium, oil paint on canvas. (Their definitions are different, therefore they are equivocal or “homonymous’).
1a6…
Things are said to be named “univocally” when they share the same name and definition. If you looked at a man and an ox (again, Aristotle’s example), and said both of these things are animals, you would be using animal in exactly the same way for both. A man is an animal and so is an ox. A man is an animal in exactly the same way an ox is an animal.
1a12…
Things are said to named “derivatively” which derive their names from some other, related name…but differ from it in termination. Aristotle’s example is a grammarian derives his name from the word, “grammar.” The brave from bravery, hero from heroic. Aristotle is saying that a derivative is dependent, that you cannot have a “grammarian” without grammar.
The traditional translations of equivocal, univocal and derivative are sometimes brought into English as homonymy, synonymy and paronymy. Harold P. Cooke, who did the Loeb edition translates the three in the traditional form but suggests that it may be helpful for the reader to substitute “ambiguous” and “unambiguous” for equivocal and univocal when thinking through the text. He does add that “univocal” has the advantage of being a positive term. (From Cooke’s notes: Zw,=on had two meanings, a living creature and the representation of a living creature. We have no corresponding ambiguous noun, although we use the word, “living” of real living things and for certain artworks that are “true to life”).
1a17…
Forms of speech are either simple or composite. Aristotle’s examples of composite are “the man runs” or “the man wins.” His simple examples are, “man”, “ox”, “runs”, “wins.”
One aspect of Aristotle’s genius is his method of reducing high-flung abstractions down to reality, to simple, concrete things, which are then simpler to deal with. Above all else, he understood that clarity is the primary requirement when discussing, arguing, analyzing, experimenting and just plain dealing with existence—that it is of no use arguing if we are not arguing about the same thing. Unlike Plato, with his mystical preoccupations, Aristotle knew that we live in the only real world, that there is no supernatural realm on which to waste contemplative energy. If there are divine things then they exist in the universe with us. (This was, in fact, the typical Greek cultural perspective, a unique phenomenon). His purpose in the Categories is simple: to lay out the types of ways we can comprehensively describe something, real things, the things we can see, hear and touch. He would say you have an understanding of a thing if you can analyze it in terms of the categories, most important of which is “ousia” (traditionally translated by the ambiguous term, substance), a car, man, piece of legislation. The other categories are quantity, quality, relative, where, when, being in position, having, acting on, and being affected by. When you apply the categories to something you come away with a thorough understanding. When you use the categories consistently you can proceed in any direction on firm ground. An example would be Aristotle’s son, Nikomachus is six years old, weighs one Attik talent (approx. 26kg), has brown hair and is the only son of Herpyllis (although possibly of Pythias of Artarneos). He is at the temple of Apollo a little after dawn at the beginning of the month of Posideon (6th month), standing on the steps, wearing a sleeveless tunic. He is hitting a marble column with an olive branch and Aristotle is holding his shoulder so that he does not fall down the steps.
Ackrill’s translation is one of the most easily understood (from Arisotle’s Categories and De Interpretatione, tr. with notes by J.L.. Ackrill, Oxford 1963).
1a20-1b10 (usually corresponds to Chapter 2)
Of things that are (a) some are said of a subject but are not in any subject. For example, man is said of a subject, the individual man [Sokrates], but is not in any subject. (b) Some are in a subject but are not said of any subject. (By “in a subject” I mean what is in something, not as a part, and cannot exist separately from what it is in). For example, the individual knowledge-of-grammar is in a subject, the soul, but is not said of any subject; and the individual white is in a subject, the body (for all color is in a body), but is not said of any subject. (c) Some are both said of a subject and in a subject, for example, knowledge is in a subject, the soul, and is also said of a subject, knowledge-of-grammar. (d) Some are neither in a subject nor said of a subject, for example, the individual man or individual horse—for nothing of this sort is either in a subject or said of a subject. Things that are individual and numerically one are, without exception, not said of any subject, but there is nothing to prevent some of them from being in a subject—the individual knowledge-of-grammar is one of the things in a subject.
Here’s a great quote from Ackrill’s notes on the Categories: “The fourfold classification of “things there are” relies on two phrases, “being in something as a subject” and “being said of something as a subject”, which hardly occur as technical terms except in the Categories. But the ideas they express play a leading role in nearly all of Aristotle’s writings.”
Classification of “things there are”
- “…being in something as a subject” – distinguishes, from substances, the dependent categories: qualities, quantities, etc. What is in something as a subject? Red in an apple.
- “…being said of (or predicable of) something as subject” - distinguishes species and genera from individuals. Distinguishes types of things and classes of things from particulars, man and animal from Sokrates. What is said of something as subject? Sokrates is a man.
Aristotle’s four groups:
- species and genera in the category of substance
- individuals in categories other than substance
- species and genera in categories other than substance
- individuals in the category of substance
With this in mind, let’s look at what Aristotle says:
Of things themselves some are predicable of a subject, and are never present in a subject. Thus 'man' is predicable of the individual man, and is never present in a subject. By being 'present in a subject' I do not mean present as parts are present in a whole, but being incapable of existence apart from the said subject. (tr. Edghill).
Aristotle is saying that when we call Sokrates a man we are saying he is a man, not that man is a quality of Sokrates. Rather, man is predicable of Sokrates. Man is said of Sokrates. Man is what Sokrates is. Man is not an attribute of Sokrates. We would never say man is “present in” Sokrates, like height or color. You cannot have “height” without something possessing height, but you can have man without Sokrates, or any individual men.
Some things, again, are present in a subject, but are never predicable of a subject. For instance, a certain point of grammatical knowledge is present in the mind, but is not predicable of any subject; or again, a certain whiteness may be present in the body (for color requires a material basis), yet it is never predicable of anything. (tr. Edghill).
Aristotle is saying that height is present in Sokrates but Sokrates is not height. No individual thing can be “height”. Height will always be something that is present in a thing but never predicable or said of a thing.
Other things, again, are both predicable of a subject and present in a subject. Thus while knowledge is present in the human mind, it is predicable of grammar. (tr. Edghill).
Aristotle is saying that “knowledge” is one of those things that can be something that is predicable or said of a subject and can also be something that is present in (an attribute) of a subject. In terms of attribution, knowledge is in Sokrates just as height is in Sokrates. In terms of predication, knowledge-of-grammar is something that can exist whether there is an individual there that knows grammar or not.
[There is, lastly, a class of things that] are neither in a subject nor said of [predicable of] a subject, for example, the individual man or individual horse. For nothing of this sort is either in a subject or said of a subject. Things that are individual and numerically one are, without exception, not said of any subject, but there is nothing to prevent some of them from being in the subject: the individual knowledge-of-grammar is one of the things in a subject. (tr. Ackrill).
Aristotle is simply saying that individuals (particulars) cannot be said of something. (Even if you use the word, Aristotelian, you are not attributing “Aristotle” to someone but the characteristics of Aristotle’s methods, etc. to someone. There is only one Aristotle).
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