Combining Texts
Ideas for
'Classical Cosmology (frags)', 'Introduction to the Theory of Logic' and 'Plurals and Complexes'
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8 ideas
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10888
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Sets can be defined by 'enumeration', or by 'abstraction' (based on a property) [Zalabardo]
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4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
10889
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The 'Cartesian Product' of two sets relates them by pairing every element with every element [Zalabardo]
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10890
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A 'partial ordering' is reflexive, antisymmetric and transitive [Zalabardo]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10886
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Determinacy: an object is either in a set, or it isn't [Zalabardo]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
10676
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The Axiom of Choice is a non-logical principle of set-theory [Hossack]
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10686
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The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / l. Axiom of Specification
10887
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Specification: Determinate totals of objects always make a set [Zalabardo]
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4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
10687
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Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
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