Combining Texts
Ideas for
'The Runabout Inference Ticket', 'De Essentia' and 'Mathematical Methods in Philosophy'
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7 ideas
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
18739
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Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
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5. Theory of Logic / E. Structures of Logic / 1. Logical Form
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Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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Prior rejected accounts of logical connectives by inference pattern, with 'tonk' his absurd example [Prior,AN, by Read]
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Maybe introducing or defining logical connectives by rules of inference leads to absurdity [Prior,AN, by Hacking]
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17896
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We need to know the meaning of 'and', prior to its role in reasoning [Prior,AN, by Belnap]
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17898
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Prior's 'tonk' is inconsistent, since it allows the non-conservative inference A |- B [Belnap on Prior,AN]
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5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
18744
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Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
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