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Ideas for 'Defending the Axioms', 'Lecture on Applicability of Mathematics' and 'Academica'

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4 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism

17620

Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]

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

2669	Dialectic assumes that all statements are either true or false, but self-referential paradoxes are a big problem [Cicero]

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

17605

Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]

17625

If two mathematical themes coincide, that suggest a single deep truth [Maddy]