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Logicism Reconsidered

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

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  1. Bad company generalized.Gabriel Uzquiano - 2009 - Synthese 170 (3):331 - 347.
    The paper is concerned with the bad company problem as an instance of a more general difficulty in the philosophy of mathematics. The paper focuses on the prospects of stability as a necessary condition on acceptability. However, the conclusion of the paper is largely negative. As a solution to the bad company problem, stability would undermine the prospects of a neo-Fregean foundation for set theory, and, as a solution to the more general difficulty, it would impose an unreasonable constraint on (...)
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  • Propositions on the cheap.Alex Grzankowski & Ray Buchanan - 2019 - Philosophical Studies 176 (12):3159-3178.
    According to the classical account, propositions are sui generis, abstract, intrinsically-representational entities and our cognitive attitudes, and the token states within us that realize those attitudes, represent as they do in virtue of their propositional objects. In light of a desire to explain how it could be that propositions represent, much of the recent literature on propositions has pressured various aspects of this account. In place of the classical account, revisionists have aimed to understand propositions in terms of more familiar (...)
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  • What is a second order theory committed to?Charles Sayward - 1983 - Erkenntnis 20 (1):79 - 91.
    The paper argues that no second order theory is ontologically commited to anything beyond what its individual variables range over.
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  • Logicism and Neologicism.Neil Tennant - 2013 - Stanford Encyclopedia of Philosophy.
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