Single Idea 22292

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle]

Full Idea

Frege rejected Hume's Principle as an implicit definition of number terms, because of the Julius Caesar problem. ....[128] Instead Frege adopted an explicit definition of the number-of function.

Gist of Idea

Hume's Principle fails to implicitly define numbers, because of the Julius Caesar

Source

report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 19 'Uniq'

Book Reference

Potter,Michael: 'The Rise of Anaytic Philosophy 1879-1930' [Routledge 2020], p.127


Related Ideas

Idea 18145 Many things will satisfy Hume's Principle, so there are many interpretations of it [Bostock]

Idea 18147 Neo-logicists meet the Caesar problem by saying Hume's Principle is unique to number [Bostock]