Single Idea 8654

[catalogued under 6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One]

Full Idea

One is the Number which belongs to the concept "identical with 0".

Gist of Idea

One is the Number which belongs to the concept "identical with 0"

Source

Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884], §77)

Book Reference

Frege,Gottlob: 'The Foundations of Arithmetic (Austin)', ed/tr. Austin,J.L. [Blackwell 1980], p.90


A Reaction

This follows from Idea 8653, which defined zero. Zero is the number of a non-existent set, and one is how many sets you have when you have only got zero. Very clever.

Related Idea

Idea 8653 Nought is the number belonging to the concept 'not identical with itself' [Frege]