Combining Texts
Ideas for
'fragments/reports', 'What Required for Foundation for Maths?' and 'What is Cantor's Continuum Problem?'
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7 ideas
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
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8679
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We perceive the objects of set theory, just as we perceive with our senses [Gödel]
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17795
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Set theory can't be axiomatic, because it is needed to express the very notion of axiomatisation [Mayberry]
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17796
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There is a semi-categorical axiomatisation of set-theory [Mayberry]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
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17800
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The misnamed Axiom of Infinity says the natural numbers are finite in size [Mayberry]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
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9942
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Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
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17801
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The set hierarchy doesn't rely on the dubious notion of 'generating' them [Mayberry]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
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17803
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Limitation of size is part of the very conception of a set [Mayberry]
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