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
Source
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.