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Ideas for 'fragments/reports', 'Persistence, Change and Explanation' and 'Philosophy of Mathematics'

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6 ideas

5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens

8078	Modus ponens is one of five inference rules identified by the Stoics [Chrysippus, by Devlin]

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

6023	Every proposition is either true or false [Chrysippus, by Cicero]

5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic

23447

In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]

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

23443

The axioms of group theory are not assertions, but a definition of a structure [Linnebo]

23444

To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]

5. Theory of Logic / L. Paradox / 2. Aporiai

13931

By using aporiai as his start, Aristotle can defer to the wise, as well as to the many [Haslanger]