more from Kurt Gödel

### Single Idea 10039

#### [catalogued under 6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic]

Full Idea

It has turned out that the solution of certain arithmetical problems requires the use of assumptions essentially transcending arithmetic.

Gist of Idea

Some arithmetical problems require assumptions which transcend arithmetic

Source

Kurt Gödel (Russell's Mathematical Logic [1944], p.449)

Book Reference

'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.449

A Reaction

A nice statement of the famous result, from the great man himself, in the plainest possible English.