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Ideas for '27: Book of Daniel', 'Semantic Necessity' and 'Gentzen's Analysis of First-Order Proofs'

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4 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 / 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 / E. Structures of Logic / 8. Theories in Logic

14620

Theories in logic are sentences closed under consequence, but in truth discussions theories have axioms [Fine,K]

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

13823

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