Single Idea 17449

[catalogued under 6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique]

Full Idea

One can have a perfectly serviceable concept of cardinality without so much as having the concept of one-one correspondence.

Gist of Idea

We can understand cardinality without the idea of one-one correspondence

Source

Richard G. Heck (Cardinality, Counting and Equinumerosity [2000], 3)

Book Reference

-: 'Notre Dame Journal of Formal Logic' [-], p.196


A Reaction

This is the culmination of a lengthy discussion. It includes citations about the psychology of children's counting. Cardinality needs one group of things, and 1-1 needs two groups.