Ideas from 'What Numbers Are' by Nicholas P. White [1974], by Theme Structure
[found in 'Philosophy of Mathematics: anthology' (ed/tr Jacquette,Dale) [Blackwell 2002,063121870x]].
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5. Theory of Logic / J. Model Theory in Logic / 3. LöwenheimSkolem Theorems
17813

LöwenheimSkolem says any theory with a true interpretation has a model in the natural numbers

6. Mathematics / A. Nature of Mathematics / 3. Numbers / p. Counting
17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do
