Combining Texts
Ideas for
'Structures and Structuralism in Phil of Maths', 'Philosophy of Mathematics' and 'On 'Generation and Corruption''
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6 ideas
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
9634
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Set theory says that natural numbers are an actual infinity (to accommodate their powerset) [Brown,JR]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10166
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ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
9613
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Naïve set theory assumed that there is a set for every condition [Brown,JR]
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9615
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Nowadays conditions are only defined on existing sets [Brown,JR]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
9617
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The 'iterative' view says sets start with the empty set and build up [Brown,JR]
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4. Formal Logic / F. Set Theory ST / 7. Natural Sets
9642
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A flock of birds is not a set, because a set cannot go anywhere [Brown,JR]
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