Ideas from 'Carnap and Logical Truth' by Willard Quine [1954], by Theme Structure
[found in 'Ways of Paradox and other essays' by Quine,Willard [Harvard 1976,0-674-94837-8]].
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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]
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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
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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 [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]
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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
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
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9004
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If set theory is not actually a branch of logic, then Frege's derivation of arithmetic would not be from logic
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8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
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9006
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Commitment to universals is as arbitrary or pragmatic as the adoption of a new system of bookkeeping
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10. Modality / A. Necessity / 6. Logical Necessity
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9001
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Frege moved Kant's question about a priori synthetic to 'how is logical certainty possible?'
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12. Knowledge Sources / A. A Priori Knowledge / 7. A Priori from Convention
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9005
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Examination of convention in the a priori begins to blur the distinction with empirical knowledge
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