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Ideas for '', 'Necessary Beings' and 'Commentary on Sentences'

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6 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

11211

If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]

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

19296

If second-order variables range over sets, those are just objects; properties and relations aren't sets [Hale]

5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention

19289

Maybe conventionalism applies to meaning, but not to the truth of propositions expressed [Hale]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

11212

The sense of a connective comes from primitively obvious rules of inference [Rumfitt]

11210

Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]

5. Theory of Logic / H. Proof Systems / 4. Natural Deduction

19298

Unlike axiom proofs, natural deduction proofs needn't focus on logical truths and theorems [Hale]