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Single Idea 17442

[from 'Grundlagen der Arithmetik (Foundations)' by Gottlob Frege, in 6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle ]

Full Idea

Frege's answer is that the concept of number is fundamentally bound up with the notion of one-one correspondence.

Gist of Idea

Frege thinks number is fundamentally bound up with one-one correspondence

Source

report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 1

Book Reference

-: 'Notre Dame Journal of Formal Logic' [-], p.190


A Reaction

Birds seem to find a mate with virtually no concept of number. I'm beginning to think that the essence of numbers is that they are both ordinals and cardinals. Frege, of course, thinks identity is basic to metaphysics.