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Ideas for 'Structures and Structuralism in Phil of Maths', 'Philosophy of Mathematics' and 'The Metaphysic of Abstract Particulars'

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5 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

9605	If a proposition is false, then its negation is true [Brown,JR]

5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic

8525	Relations need terms, so they must be second-order entities based on first-order tropes [Campbell,K]

5. Theory of Logic / G. Quantification / 5. Second-Order Quantification

10175

Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

9649	Axioms are either self-evident, or stipulations, or fallible attempts [Brown,JR]

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox

9638	Berry's Paradox finds a contradiction in the naming of huge numbers [Brown,JR]