Structuralism and Metaphysics
Versions of a structuralist view of mathematical objects. Ideas from the metaphysical tradition. Distinction between "basic" and "constructed" structures. The usual apparatus of first-order logic. Minimal way of expressing simple cardinality statements.
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A popular opinion among mathematical logicians by referring to second-order logic as "set theory in sheep`s clothing". Boolos`s translation of the second-order axiom of foundation. Using ordinary language to settle logical matters. Boolos`s circle.
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