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Single Idea 9582

[catalogued under 6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation]

Full Idea

When Husserl says that sameness of number can be shown by one-one correlation, he forgets that this counting itself rests on a univocal one-one correlation, namely that between the numerals 1 to n and the objects of the set.

Clarification

'Univocal' means having only one meaning

Gist of Idea

Husserl rests sameness of number on one-one correlation, forgetting the correlation with numbers themselves

Source

Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.326)

Book Reference

-: 'Mind July 1972' [-], p.326


A Reaction

This is the platonist talking. Neo-logicism is attempting to build numbers just from the one-one correlation of objects.