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'works', 'Il Saggiatore ('The Assayer')' and 'works'
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6 ideas
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
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10048
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There is no clear boundary between the logical and the non-logical [Tarski]
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5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
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10694
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Logical consequence is when in any model in which the premises are true, the conclusion is true [Tarski, by Beall/Restall]
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10479
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Logical consequence: true premises give true conclusions under all interpretations [Tarski, by Hodges,W]
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5. Theory of Logic / K. Features of Logics / 8. Enumerability
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10082
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There are infinite sets that are not enumerable [Cantor, by Smith,P]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
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13483
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Cantor's Paradox: the power set of the universe must be bigger than the universe, yet a subset of it [Cantor, by Hart,WD]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
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8710
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The powerset of all the cardinal numbers is required to be greater than itself [Cantor, by Friend]
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