Combining Texts
Ideas for
'Essays on Intellectual Powers: Conception', 'Philosophy of Mathematics' and 'A Subject with No Object'
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6 ideas
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
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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 / 5. Conceptions of Set / d. Naïve logical sets
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9933
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The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen]
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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
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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
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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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