Full Idea
Equinumerosity is not the same concept as being in one-one correspondence with.
Gist of Idea
Equinumerosity is not the same concept as one-one correspondence
Source
Richard G. Heck (Cardinality, Counting and Equinumerosity [2000], 6)
Book Reference
-: 'Notre Dame Journal of Formal Logic' [-], p.203
A Reaction
He says this is the case, even if they are coextensive, like renate and cordate. You can see that five loaves are equinumerous with five fishes, without doing a one-one matchup.