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All the ideas for '', 'Gentzen's Analysis of First-Order Proofs' and 'Among the Dead Cities'

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9 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is based on transitions between sentences [Prawitz]
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
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
20. Action / C. Motives for Action / 5. Action Dilemmas / b. Double Effect
It is legitimate to do harm if it is the unintended side-effect of an effort to achieve a good [Grayling]
25. Social Practice / E. Policies / 1. War / a. Just wars
War must also have a good chance of success, and be waged with moderation [Grayling]