mind, (25) but is not predicable of any subject; or again, a certain whiteness may be present in the body (for colour requires a material basis), yet it is never predicable of anything.
Other things, again, are both predicable of a subject and present in a subject. [1b] Thus while knowledge is present in the human mind, it is predicable of grammar.
There is, lastly, a class of things which are neither present in a subject nor predicable of a subject, such as the individual man or the individual horse. (5) But, to speak more generally, that which is individual and has the character of a unit is never predicable of a subject. Yet in some cases there is nothing to prevent such being present in a subject. Thus a certain point of grammatical knowledge is present in a subject.
3 When one thing is predicated of another, (10) all that which is predicable of the predicate will be predicable also of the subject. Thus, ‘man’ is predicated of the individual man; but ‘animal’ is predicated of ‘man’; it will, therefore, be predicable of the individual man also: for the individual man is both ‘man’ and ‘animal’. (15)
If genera are different and co-ordinate, their differentiae are themselves different in kind. Take as an instance the genus ‘animal’ and the genus ‘knowledge’. ‘With feet’, ‘two-footed’, ‘winged’, ‘aquatic’, are differentiae of ‘animal’; the species of knowledge are not distinguished by the same differentiae. One species of knowledge does not differ from another in being ‘two-footed’.
But where one genus is subordinate to another, (20) there is nothing to prevent their having the same differentiae: for the greater class is predicated of the lesser, so that all the differentiae of the predicate will be differentiae also of the subject.
4 Expressions which are in no way composite signify substance, (25) quantity, quality, relation, place, time, position, state, action, or affection. To sketch my meaning roughly, examples of substance are ‘man’ or ‘the horse’, of quantity, such terms as ‘two cubits long’ or ‘three cubits long’, of quality, such attributes as ‘white’, ‘grammatical’. ‘Double’, ‘half’, ‘greater’, fall under the category of relation; ‘in the market place’, ‘in the Lyceum’, under that of place; ‘yesterday’, ‘last year’, under that of time. [2a] ‘Lying’, ‘sitting’, are terms indicating position; ‘shod’, ‘armed’, state; ‘to lance’, ‘to cauterize’, action; ‘to be lanced’, ‘to be cauterized’, affection.
No one of these terms, in and by itself, involves an affirmation; it is by the combination of such terms that positive or negative statements arise. (5) For every assertion must, as is admitted, be either true or false, whereas expressions which are not in any way composite, such as ‘man’, (10) ‘white’, ‘runs’, ‘wins’, cannot be either true or false.
5 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; for instance, the individual man or horse. But in a secondary sense those things are called substances within which, (15) as species, the primary substances are included; also those which, as genera, include the species. For instance, the individual man is included in the species ‘man’, and the genus to which the species belongs is ‘animal’; these, therefore—that is to say, the species ‘man’ and the genus ‘animal’—are termed secondary substances.
It is plain from what has been said that both the name and the definition of the predicate must be predicable of the subject. (20) For instance, ‘man’ is predicated of the individual man. Now in this case the name of the species ‘man’ is applied to the individual, for we use the term ‘man’ in describing the individual; and the definition of ‘man’ will also be