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Ideas for 'works', 'Intro to Gdel's Theorems' and 'Causes and Events: Mackie on causation'

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5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
A 'natural deduction system' has no axioms but many rules [Smith,P]
     Full Idea: A 'natural deduction system' will have no logical axioms but may rules of inference.
     From: Peter Smith (Intro to Gödel's Theorems [2007], 09.1)
     A reaction: He contrasts this with 'Hilbert-style systems', which have many axioms but few rules. Natural deduction uses many assumptions which are then discharged, and so tree-systems are good for representing it.