Combining Philosophers
Ideas for Bonaventura, Tyler Burge and Rayo,A/Uzquiasno,G
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6 ideas
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
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13479
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Given that thinking aims at truth, logic gives universal rules for how to do it [Burge]
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5. Theory of Logic / E. Structures of Logic / 1. Logical Form
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8132
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We now have a much more sophisticated understanding of logical form in language [Burge]
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5. Theory of Logic / G. Quantification / 2. Domain of Quantification
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13449
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We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]
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13450
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Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]
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5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
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13453
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Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]
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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
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17622
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We come to believe mathematical propositions via their grounding in the structure [Burge]
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