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Ideas for 'Metaphysics', 'Philosophy of Mathematics' and 'works'

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6 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL

562	Axioms are the underlying principles of everything, and who but the philosopher can assess their truth? [Aristotle]

573	The axioms of mathematics are part of philosophy [Aristotle]

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic

10206

Modal operators are usually treated as quantifiers [Shapiro]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

10208

Axiom of Choice: some function has a value for every set in a given set [Shapiro]

10252

The Axiom of Choice seems to license an infinite amount of choosing [Shapiro]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

10207

Anti-realists reject set theory [Shapiro]