more from Richard G. Heck

Single Idea 17448

[catalogued under 6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure]

Full Idea

One need not conceive of the numerals as objects in their own right in order to count. The numerals are not mentioned in counting (as objects to be correlated with baseball players), but are used.

Gist of Idea

In counting, numerals are used, not mentioned (as objects that have to correlated)

Source

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

Book Reference

-: 'Notre Dame Journal of Formal Logic' [-], p.194


A Reaction

He observes that when you name the team, you aren't correlating a list of names with the players. I could correlate any old tags with some objects, and you could tell me the cardinality denoted by the last tag. I do ordinals, you do cardinals.