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Ideas for 'Writing the Book of the World', 'works' and 'In Defense of Essentialism'

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9 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
14980 There is a real issue over what is the 'correct' logic [Sider]
15000 'It is raining' and 'it is not raining' can't be legislated, so we can't legislate 'p or ¬p' [Sider]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
15020 Classical logic is good for mathematics and science, but less good for natural language [Sider]
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 / B. Logical Consequence / 1. Logical Consequence
15029 Modal accounts of logical consequence are simple necessity, or essential use of logical words [Sider]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
15019 Define logical constants by role in proofs, or as fixed in meaning, or as topic-neutral [Sider]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
15001 'Tonk' is supposed to follow the elimination and introduction rules, but it can't be so interpreted [Sider]
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 / 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]