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.