Combining Texts
Ideas for
'On the Question of Absolute Undecidability', 'Reference and Essence: seven appendices' and 'Philosophy of Mathematics'
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8 ideas
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
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
18114
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There is no single agreed structure for set theory [Bostock]
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17884
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Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
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17893
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'Reflection principles' say the whole truth about sets can't be captured [Koellner]
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4. Formal Logic / F. Set Theory ST / 3. Types of Set / a. Types of set
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
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
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
18105
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Replacement enforces a 'limitation of size' test for the existence of sets [Bostock]
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