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Ideas for 'works', 'What are Sets and What are they For?' and 'works'

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6 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

9188	Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett]

5. Theory of Logic / G. Quantification / 6. Plural Quantification

14234

If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]

14237

We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]

5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth

10620

Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel]

5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth

14245

Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

17883

Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner]