Logicism in the Twenty‐first Century

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In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press (2005)
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Abstract

According to Gottlob Frege, his logicism died when it was discovered that the underlying theory of extensions is inconsistent. The neo-logicist attempts to found mathematics on other abstraction principles, such as the so-called Hume’s principle that two concepts have the same number if and only if they are equinumerous. This chapter discusses the state of neo-logicism, responding to various objections that have been raised against it.

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10.1093/0195148770.003.0006

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Citations of this work

The analytic/synthetic distinction.Gillian Russell - 2007 - Philosophy Compass 2 (5):712–729.
The sortal resemblance problem.Joongol Kim - 2014 - Canadian Journal of Philosophy 44 (3-4):407-424.

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