more from Gottlob Frege

Single Idea 9875

[catalogued under 6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism]

Full Idea

Frege was completing Bolzano's work, of expelling intuition from number theory and analysis (while leaving it its due place in geometry).

Gist of Idea

Frege was completing Bolzano's work, of expelling intuition from number theory and analysis

Source

Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884]), quoted by Michael Dummett - Frege philosophy of mathematics Ch.18

Book Reference

Dummett,Michael: 'Frege: philosophy of mathematics' [Duckworth 1991], p.223


A Reaction

It was Kant who had placed the emphasis on intuition. Frege eventually thought arithmetic might be geometric, and so intuition had to triumph after all.