Single Idea 21698

[catalogued under 5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic]

Full Idea

Much of the theory of relations can be developed as a virtual theory, in which we seem to talk of relations, but can explain our notation in terms {finally] of just the logic of truth-functions, quantification and identity. The exception is ancestrals.

Gist of Idea

All relations, apart from ancestrals, can be reduced to simpler logic

Source

Willard Quine (Lecture on Nominalism [1946], §8)

Book Reference

'Oxford Studies in Metaphysics vol.4', ed/tr. Zimmerman,Dean W. [OUP 2008], p.14


A Reaction

The irreducibility of ancestrals is offered as a reason for treating sets as universals.