Erkenntnis

, Volume 76, Issue 1, pp 23–40

Against the Judgment-Dependence of Mathematics and Logic

Original Article
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Abstract

Although the case for the judgment-dependence of many other domains has been pored over, surprisingly little attention has been paid to mathematics and logic. This paper presents two dilemmas for a judgment-dependent account of these areas. First, the extensionality-substantiality dilemma: in each case, either the judgment-dependent account is extensionally inadequate or it cannot meet the substantiality condition (roughly: non-vacuous specification). Second, the extensionality-extremality dilemma: in each case, either the judgment-dependent account is extensionally inadequate or it cannot meet the extremality condition (roughly: absence of independent explanation). The paper concludes with a moral concerning the judgment-dependence of a posteriori areas of discourse that emerges from consideration of these two a priori cases.

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Wadham CollegeOxfordUK

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