Aristotle’s categories
Κατηγορίαι
Aristotle divides beings by applying two concepts: (1) said-of and (2) present-in. Any being is either said-of another or not; and present-in another or not.
- SAID-OF corresponds to essential predication
- PRESENT-IN, to accidental predication
The distinction cuts across all ten categories.
Present-in
PRESENT-IN is poorly defined because the definition is circular —
By ‘PRESENT-IN a subject’ I mean what is in something, not as a part, and cannot exist separately from what it is in. (1a24–5)
Examples
This grammatical knowledge is PRESENT-IN a soul.
This white is PRESENT-IN a body.
Color is PRESENT-IN body.
Features
- Dependence: PRESENT-IN is a relation of fundamental ontological dependence. What is PRESENT-IN a subject, Aristotle says, belongs to it “not as a part, and cannot exist separately from what it is in” (1a24). (This is Kant’s inherence.)
- Separate-sphere relata: The relation is a cross-categorial; things PRESENT-IN a subject are non-substances; the things they are PRESENT-IN are substances: non-substances are PRESENT-IN substances.
- Accidental: What is PRESENT-IN a subject is accidental (non-essential) to that subject.
Said-of
Undefined.
Examples
Man is SAID-OF Socrates. Animal is SAID-OF man. (Hence) animal is SAID-OF Socrates.
White is SAID-OF this (particular) color.
Color is SAID-OF white.
Features
- Classification: SAID-OF is a relation of fundamental ontological classification.
- Subsumption: It is the relation between a kind and a thing that falls under it. It is a transitive relation (i.e., if x is SAID-OF y and y is SAID-OF z, it follows that x is SAID-OF z).
- Same-sphere relata: Its relata belong to the same category. A universal in a given category is SAID-OF the lower-level universals and individuals that fall under it.
- Essential: What is SAID-OF a subject is essential to that subject.
Four-fold division
Application of the above dividing concepts leads to a fourfold system of classification:
- +S+P: Said-of and present-in: accidental universals
- +S¬P: Said-of and not present-in: essential universals (natural kinds)
- ¬S+P: Not said-of and present-in: accidental particulars (tropes)
- ¬S¬P: Not said-of and not present-in: primary substances (essential unities)
| Layer | Substance | Property |
|---|---|---|
| 10 Categories | Substance | Quantity, Relatives, Quality, … |
| Superstructure (+S) | +S¬P (natural kinds) | +S+P (accidental universals) |
| Base (¬S) | ¬S¬P (primary substances) | ¬S+P (tropes) |