Combining Texts
Ideas for
'Parmenides', 'Naturalism in Mathematics' and 'Substitutional Classes and Relations'
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6 ideas
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 / 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
18130
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Axiom of Reducibility: there is always a function of the lowest possible order in a given level [Russell, by Bostock]
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18169
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Axiom of Reducibility: propositional functions are extensionally predicative [Maddy]
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