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Frege’s philosophy of geometry

Synthese 196 (3):929-971 (2019)

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  1. Is Hume’s Principle Analytic?Eamon Darnell & Aaron Thomas-Bolduc - forthcoming - Synthese:1-17.
    The question of the analyticity of Hume's Principle is central to the neo-logicist project. We take on this question with respect to Frege's definition of analyticity, which entails that a sentence cannot be analytic if it can be consistently denied within the sphere of a special science. We show that HP can be denied within non-standard analysis and argue that if HP is taken to depend on Frege's definition of number, it isn't analytic, and if HP is taken to be (...)
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