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'fragments/reports', 'Logic for Philosophy' and 'The Rationalists'
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6 ideas
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
13688
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Good axioms should be indisputable logical truths [Sider]
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13687
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No assumptions in axiomatic proofs, so no conditional proof or reductio [Sider]
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5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions
13690
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Proof by induction 'on the length of the formula' deconstructs a formula into its accepted atoms [Sider]
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13691
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Induction has a 'base case', then an 'inductive hypothesis', and then the 'inductive step' [Sider]
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5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
13685
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Natural deduction helpfully allows reasoning with assumptions [Sider]
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5. Theory of Logic / H. Proof Systems / 6. Sequent Calculi
13686
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We can build proofs just from conclusions, rather than from plain formulae [Sider]
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