more on this theme     |     more from this thinker     |     more from this text


Single Idea 10045

[filed under theme 6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism ]

Full Idea

Impredicative definitions are admitted into ordinary mathematics.

Gist of Idea

Impredicative definitions are admitted into ordinary mathematics

Source

Kurt Gödel (Russell's Mathematical Logic [1944], p.464)

Book Ref

'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.464


A Reaction

The issue is at what point in building an account of the foundations of mathematics (if there be such, see Putnam) these impure definitions should be ruled out.

email your comments