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Ideas for 'Mathematical Methods in Philosophy', 'How the Laws of Physics Lie' and 'Gentzen's Analysis of First-Order Proofs'

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6 ideas

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

13831

Logic is based on transitions between sentences [Prawitz]

5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic

18739

Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]

5. Theory of Logic / E. Structures of Logic / 1. Logical Form

18741

Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]

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

13825

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

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

13823

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

5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models

18744

Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]