Is Hume's principle analytic?

Notre Dame Journal of Formal Logic 40 (1):307-333 (1999)
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Abstract

This paper is a reply to George Boolos's three papers (Boolos (1987a, 1987b, 1990a)) concerned with the status of Hume's Principle. Five independent worries of Boolos concerning the status of Hume's Principle as an analytic truth are identified and discussed. Firstly, the ontogical concern about the commitments of Hume's Principle. Secondly, whether Hume's Principle is in fact consistent and whether the commitment to the universal number by adopting Hume's Principle might be problematic. Also the so-called `surplus content' worry is discussed, which points out that the conceptual resources to grasp Hume's Principle vastly outstrip the conceptual resources employed in arithmetical reasoning. And lastly whether Hume's Principle is in bad company with other unsuccessful implicit definitions. In the last section, an account towards our entitlement to Hume&'s Principle is sketched.

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Citations of this work

Neo-Fregeanism: An Embarrassment of Riches.Alan Weir - 2003 - Notre Dame Journal of Formal Logic 44 (1):13-48.
Frege meets dedekind: A neologicist treatment of real analysis.Stewart Shapiro - 2000 - Notre Dame Journal of Formal Logic 41 (4):335--364.
Bad company tamed.Øystein Linnebo - 2009 - Synthese 170 (3):371 - 391.

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References found in this work

Reals by Abstraction.Bob Hale - 2000 - Philosophia Mathematica 8 (2):100--123.
New V, ZF and Abstraction.Stewart Shapiro & Alan Weir - 1999 - Philosophia Mathematica 7 (3):293-321.
Is Hume's principle analytic?G. Boolos - 1998 - Logic, Logic, and Logic:301--314.
Finitude and Hume’s Principle.Richard G. Heck - 1997 - Journal of Philosophical Logic 26 (6):589-617.
Saving Frege from contradiction.George Boolos - 1987 - Proceedings of the Aristotelian Society 87:137--151.

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