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'works', 'Scientific Explanation' and 'Carnap and Logical Truth'
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8 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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13010
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In order to select the logic justified by experience, we would need to use a lot of logic [Boghossian on Quine]
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5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
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9002
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Elementary logic requires truth-functions, quantifiers (and variables), identity, and also sets of variables [Quine]
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5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
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13681
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Logical consequence is marked by being preserved under all nonlogical substitutions [Quine, by Sider]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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13829
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If logical truths essentially depend on logical constants, we had better define the latter [Hacking on Quine]
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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 / a. Set theory paradoxes
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9003
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Set theory was struggling with higher infinities, when new paradoxes made it baffling [Quine]
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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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