Single Idea 17446

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

Full Idea

Counting rests itself on a one-one correlation, namely of numerals 1 to n and the objects.

Gist of Idea

Counting rests on one-one correspondence, of numerals to objects


Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894]), quoted by Richard G. Heck - Cardinality, Counting and Equinumerosity 3

Book Reference

-: 'Notre Dame Journal of Formal Logic' [-], p.193

A Reaction

Parsons observes that counting will establish a one-one correspondence, but that doesn't make it the aim of counting, and so Frege hasn't answered Husserl properly. Which of the two is conceptually prior? How do you decide.

Related Idea

Idea 17444 Husserl said counting is more basic than Frege's one-one correspondence [Husserl, by Heck]