more from Alex Orenstein

Single Idea 8473

[catalogued under 6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism]

Full Idea

The question to be posed is whether is-a-member-of should be considered a logical constant, that is, does logic include set theory. Frege, Russell and Whitehead held that it did.

Gist of Idea

The logicists held that is-a-member-of is a logical constant, making set theory part of logic


Alex Orenstein (W.V. Quine [2002], Ch.5)

Book Reference

Orenstein,Alex: 'W.V. Quine' [Princeton 2002], p.99

A Reaction

This is obviously the key element in the logicist programme. The objection seems to be that while first-order logic is consistent and complete, set theory is not at all like that, and so is part of a different world.