Combining Texts
Ideas for
'General Draft', 'works' and 'Naturalism in Mathematics'
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8 ideas
4. Formal Logic / F. Set Theory ST / 1. Set Theory
13455
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Frege did not think of himself as working with sets [Frege, by Hart,WD]
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4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
18194
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'Forcing' can produce new models of ZFC from old models [Maddy]
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4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
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
18195
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A Large Cardinal Axiom would assert ever-increasing stages in the hierarchy [Maddy]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
18191
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Axiom of Infinity: completed infinite collections can be treated mathematically [Maddy]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
18193
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The Axiom of Foundation says every set exists at a level in the set hierarchy [Maddy]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
18169
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Axiom of Reducibility: propositional functions are extensionally predicative [Maddy]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / c. Logical sets
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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