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- Title
Is Hume's Principle analytic?
- Authors
Darnell, Eamon; Thomas-Bolduc, Aaron
- Abstract
The question of the analyticity of Hume's Principle (HP) 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 primitive there is only a very narrow range of circumstances where it might be taken to be analytic. The latter discussion also sheds some light on the connections between the Bad Company and Caesar objections.
- Subjects
NONSTANDARD mathematical analysis; SPHERES
- Publication
Synthese, 2021, Vol 198, Issue 1, p169
- ISSN
0039-7857
- Publication type
Article
- DOI
10.1007/s11229-018-01988-8