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'fragments/reports', 'Philosophy of Mathematics' and 'A Pragmatic Conception of the A Priori'
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8 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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9358
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There are several logics, none of which will ever derive falsehoods from truth [Lewis,CI]
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5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
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18108
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First-order logic is not decidable: there is no test of whether any formula is valid [Bostock]
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18109
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The completeness of first-order logic implies its compactness [Bostock]
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5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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9357
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Excluded middle is just our preference for a simplified dichotomy in experience [Lewis,CI]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
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9364
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Names represent a uniformity in experience, or they name nothing [Lewis,CI]
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5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
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18123
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Substitutional quantification is just standard if all objects in the domain have a name [Bostock]
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5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
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18120
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The Deduction Theorem is what licenses a system of natural deduction [Bostock]
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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
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18125
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Berry's Paradox considers the meaning of 'The least number not named by this name' [Bostock]
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