Combining Texts
Ideas for
'Truth and the Past', 'The Philosophy of Mathematics' and 'Critique of Pure Reason'
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8 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
18794
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Logic has precise boundaries, and is the formal rules for all thinking [Kant]
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5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
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Undecidable statements result from quantifying over infinites, subjunctive conditionals, and the past tense [Dummett]
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5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
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5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
9186
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First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
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5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
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There must be a general content-free account of truth in the rules of logic [Kant]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
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Logical truths and inference are characterized either syntactically or semantically [Dummett]
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5. Theory of Logic / L. Paradox / 3. Antinomies
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The battle of the antinomies is usually won by the attacker, and lost by any defender [Kant]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
8194
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Surely there is no exact single grain that brings a heap into existence [Dummett]
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