Combining Texts
Ideas for
'On the Question of Absolute Undecidability', 'A Completeness Theorem in Modal Logic' and 'What are Sets and What are they For?'
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7 ideas
4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884
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Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
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17893
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'Reflection principles' say the whole truth about sets can't be captured [Koellner]
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4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
14239
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The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
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14240
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The empty set is something, not nothing! [Oliver/Smiley]
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14241
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We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
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14242
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Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
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4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
14243
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The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
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