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Single Idea 10553

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers]

Full Idea

For Frege, in 'Grundgesetze', a number is a class of classes of the same cardinality.

Gist of Idea

A number is a class of classes of the same cardinality

Source

report of Gottlob Frege (Grundgesetze der Arithmetik 2 (Basic Laws) [1903]) by Michael Dummett - Frege Philosophy of Language (2nd ed) Ch.14

Book Reference

Dummett,Michael: 'Frege Philosophy of Language' [Duckworth 1981], p.510