Combining Texts
Ideas for
'On the Question of Absolute Undecidability', 'Tractatus Logico-Philosophicus' and 'W.V. Quine'
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7 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 / e. Axioms of PL
8476
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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 / 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
8474
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Unlike elementary logic, set theory is not complete [Orenstein]
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17884
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Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
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17893
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'Reflection principles' say the whole truth about sets can't be captured [Koellner]
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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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