more from Immanuel Kant

Single Idea 12458

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

Full Idea

Kant taught - and it is an integral part of his doctrine - that mathematics treats a subject matter which is given independently of logic. Mathematics, therefore, can never be grounded solely in logic.

Gist of Idea

Kant taught that mathematics is independent of logic, and cannot be grounded in it


report of Immanuel Kant (Critique of Pure Reason [1781]) by David Hilbert - On the Infinite p.192

Book Reference

'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.192

A Reaction

Presumably Gödel's Incompleteness Theorems endorse the Kantian view, that arithmetic is sui generis, and beyond logic.