Single Idea 13863

[catalogued under 6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique]

Full Idea

Most would cite Russell's paradox, the non-logical character of the axioms which Russell and Whitehead's reconstruction of Frege's enterprise was constrained to employ, and the incompleteness theorems of Gödel, as decisive for logicism's failure.

Gist of Idea

Logicism seemed to fail by Russell's paradox, Gödel's theorems, and non-logical axioms

Source

Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro)

Book Reference

Wright,Crispin: 'Frege's Conception of Numbers' [Scots Philosophical Monographs 1983], p.-1


Related Idea

Idea 13895 The standard objections are Russell's Paradox, non-logical axioms, and Gödel's theorems [Wright,C]