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12 Cards in this Set
- Front
- Back
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Establish each constituent conjunct first
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^ Intro
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Given A ^ B you can assert A
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^ Elim
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Given A you can assert A v B
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v Intro
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You may conclude R from P...R and Q...R
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v Elim
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If from P you can prove a contradiction you are entitled to ⌐P
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⌐ Intro
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From ⌐⌐P to P
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⌐ Elim
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If in a subproof you can assert P and show Q, you may assertP → Q
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→ Intro
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modus ponens; From P → Q, if you have P you can assert Q
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→ Elim
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If you have established an explicit contradiction in the form of a sentence P and ⌐P
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┴ Intro
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If you are able to establish a contradiction then you can assert any sentence in FOL whatsoever
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┴ Elim
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You can conclude Q if you can establish P and either of the biconditionals indicated.
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↔ Intro
P ↔ Q (or Q ↔ P) . . P . . Q |
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Two subproofs, one showing Q follows P, and one showing P follows Q
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↔ Elim
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