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Ideas for 'The Tarskian Turn', 'Significance of the Kripkean Nec A Posteriori' and 'The Trouble with Possible Worlds'

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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten]
Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten]