more from Hilary Putnam

### Single Idea 18953

#### [catalogued under 4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic]

Full Idea

In modern notation we can consider potential logical principles that Aristotle never considered because of his general practice of looking at inferences each of whose premises involved exactly two class-names.

Gist of Idea

Modern notation frees us from Aristotle's restriction of only using two class-names in premises

Source

Hilary Putnam (Philosophy of Logic [1971], Ch.3)

Book Reference

Putnam,Hilary: 'Philosophy of Logic' [Routledge 1972], p.26

A Reaction

Presumably you can build up complex inferences from a pair of terms, just as you do with pairs in set theory.