Single Idea 7739

[catalogued under 6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism]

Full Idea

Frege's project was to show that arithmetic is analytic.

Gist of Idea

Arithmetic is analytic

Source

report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884]) by Joan Weiner - Frege Ch.7

Book Reference

Weiner,Joan: 'Frege' [OUP 1999], p.118


A Reaction

This particularly opposes Kant (e.g. Idea 5525). My favoured view (which may have few friends) is that arithmetic is a set of facts about the necessary pattern relationships within any possible physical world. That will make it synthetic.

Related Idea

Idea 5525 No analysis of the sum of seven and five will in itself reveal twelve [Kant]