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'Metaphysics', 'Intro to Oxford Hndbk of Metaphysics' and 'Briefings on Existence'
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4 ideas
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
562
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Axioms are the underlying principles of everything, and who but the philosopher can assess their truth? [Aristotle]
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573
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The axioms of mathematics are part of philosophy [Aristotle]
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4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
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There is 'transivity' iff membership ∈ also means inclusion ⊆ [Badiou]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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The axiom of choice must accept an indeterminate, indefinable, unconstructible set [Badiou]
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