more from Immanuel Kant

Single Idea 16910

[catalogued under 6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics]

Full Idea

We find that all mathematical knowledge has this peculiarity, that it must first exhibit its concept in intuition, and do so a priori, in an intuition that is not empirical but pure.

Gist of Idea

Mathematics can only start from an a priori intuition which is not empirical but pure


Immanuel Kant (Prolegomena to Any Future Metaphysic [1781], 281)

Book Reference

Kant,Immanuel: 'Prolegomena to Any Future Metaphysic', ed/tr. Lucas,Peter G. [Manchester UP 1971], p.36

A Reaction

Later thinkers had grave doubts about this Kantian 'intuition', even if they though maths was known a priori. Personally I am increasing fan of rational intuition, even if I am not sure how to discern whether it is rational on any occasion.