Combining Philosophers

Ideas for Lynch,MP/Glasgow,JM, Timothy Williamson and Ian Rumfitt

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3 ideas

5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Geometrical axioms in logic are nowadays replaced by inference rules (which imply the logical truths) [Rumfitt]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Introduction rules give deduction conditions, and Elimination says what can be deduced [Rumfitt]
Or-elimination is 'Argument by Cases'; it shows how to derive C from 'A or B' [Williamson]