Combining Texts
Ideas for
'(Nonsolipsistic) Conceptual Role Semantics', 'Carnap and Logical Truth' and 'Principia Mathematica'
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7 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
12595
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We have a theory of logic (implication and inconsistency), but not of inference or reasoning [Harman]
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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
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
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
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 / E. Structures of Logic / 2. Logical Connectives / d. and
12597
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I might accept P and Q as likely, but reject P-and-Q as unlikely [Harman]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
9003
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Set theory was struggling with higher infinities, when new paradoxes made it baffling [Quine]
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