Combining Texts
Ideas for
'Parmenides', 'Against Method' and 'Philosophy of Mathematics'
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7 ideas
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
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 / G. Quantification / 4. Substitutional Quantification
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
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 / 3. Antinomies
13986
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Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
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14150
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Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
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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