Combining Texts
Ideas for
'W.V. Quine', 'An Introduction to Modal Logic' and 'Action, Intention and Reason'
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8 ideas
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
8472
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Sentential logic is consistent (no contradictions) and complete (entirely provable) [Orenstein]
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / b. Terminology of PL
9540
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A 'value-assignment' (V) is when to each variable in the set V assigns either the value 1 or the value 0 [Hughes/Cresswell]
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
9541
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The Law of Transposition says (P→Q) → (¬Q→¬P) [Hughes/Cresswell]
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
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Axiomatization simply picks from among the true sentences a few to play a special role [Orenstein]
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4. Formal Logic / B. Propositional Logic PL / 4. Soundness of PL
9543
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The rules preserve validity from the axioms, so no thesis negates any other thesis [Hughes/Cresswell]
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4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
8480
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S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p' [Orenstein]
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4. Formal Logic / F. Set Theory ST / 1. Set Theory
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Unlike elementary logic, set theory is not complete [Orenstein]
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4. Formal Logic / G. Formal Mereology / 1. Mereology
8465
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Mereology has been exploited by some nominalists to achieve the effects of set theory [Orenstein]
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