Combining Texts
Ideas for
'works', 'works' and 'Philosophy of Mathematics'
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10 ideas
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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13455
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Frege did not think of himself as working with sets [Frege, by Hart,WD]
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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 / 3. Types of Set / b. Empty (Null) Set
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16895
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The null set is indefensible, because it collects nothing [Frege, by Burge]
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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 / c. Logical sets
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3328
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Frege proposed a realist concept of a set, as the extension of a predicate or concept or function [Frege, by Benardete,JA]
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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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4. Formal Logic / G. Formal Mereology / 1. Mereology
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13282
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Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki]
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