I have had to abandon the view that arithmetic does not need to appeal to intuition either in its proofs, understanding by intuition the geometrical source of knowledge, that is, the source from which flow the axioms of geometry. Recently, a vicious confusion has arisen over the use of the word ‘axiom’. I therefore emphasize that I am using this word in its original meaning.
References
- Gottlob Frege, A New Attempt at a Foundation for Arithmetic, (Posthumous Writings, p. 279).