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All the ideas for '', 'Reductive Theories of Modality' and 'Gentzen's Analysis of First-Order Proofs'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

9218	Maybe what distinguishes philosophy from science is its pursuit of necessary truths [Sider]

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

13831

Logic is based on transitions between sentences [Prawitz]

11211

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

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

11210

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

13825

Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]

11212

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

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

13823

In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]

19. Language / F. Communication / 3. Denial

11214

We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]