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'fragments/reports', 'Philosophy of Mathematics' and 'How to Define Theoretical Terms'
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8 ideas
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
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8077
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Stoic propositional logic is like chemistry - how atoms make molecules, not the innards of atoms [Chrysippus, by Devlin]
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
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20791
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Chrysippus has five obvious 'indemonstrables' of reasoning [Chrysippus, by Diog. Laertius]
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4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
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18122
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Classical interdefinitions of logical constants and quantifiers is impossible in intuitionism [Bostock]
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4. Formal Logic / F. Set Theory ST / 1. Set Theory
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18114
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There is no single agreed structure for set theory [Bostock]
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4. Formal Logic / F. Set Theory ST / 3. Types of Set / a. Types of set
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18107
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A 'proper class' cannot be a member of anything [Bostock]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
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18115
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We could add axioms to make sets either as small or as large as possible [Bostock]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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18139
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The Axiom of Choice relies on reference to sets that we are unable to describe [Bostock]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
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18105
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Replacement enforces a 'limitation of size' test for the existence of sets [Bostock]
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