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Ideas for 'Sententia on 'De Caelo'', 'Briefings on Existence' and 'Mathematics without Foundations'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

9937	I do not believe mathematics either has or needs 'foundations' [Putnam]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

9939	It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

12329

If mathematics is a logic of the possible, then questions of existence are not intrinsic to it [Badiou]