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Analytic-Synthetic III

Analysis 11 (3):49 - 61 (1951)

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  1. Open Texture and Mathematics.Stewart Shapiro & Craige Roberts - 2021 - Notre Dame Journal of Formal Logic 62 (1):173-191.
    The purpose of this article is to explore the extent to which mathematics is subject to open texture and the extent to which mathematics resists open texture. The resistance is tied to the importance of proof and, in particular, rigor, in mathematics.
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  • Wittgenstein on necessity: ‘Are you not really an idealist in disguise?’.Sam W. A. Couldrick - 2024 - Analytic Philosophy 65 (2):162-186.
    Wittgenstein characterises ‘necessary truths’ as rules of representation that do not answer to reality. The invocation of rules of representation has led many to compare his work with Kant's. This comparison is illuminating, but it can also be misleading. Some go as far as casting Wittgenstein's later philosophy as a specie of transcendental idealism, an interpretation that continues to gather support despite scholars pointing to its limitations. To understand the temptation of this interpretation, attention must be paid to a distinction (...)
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  • Translating Logical Terms.Stewart Shapiro - 2019 - Topoi 38 (2):291-303.
    The is an old question over whether there is a substantial disagreement between advocates of different logics, as they simply attach different meanings to the crucial logical terminology. The purpose of this article is to revisit this old question in light a pluralism/relativism that regards the various logics as equally legitimate, in their own contexts. We thereby address the vexed notion of translation, as it occurs between mathematical theories. We articulate and defend a thesis that the notion of “same meaning” (...)
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  • So truth is safe from paradox: now what?Stewart Shapiro - 2010 - Philosophical Studies 147 (3):445-455.
    The article is part of a symposium on Hartry Field’s “Saving truth from paradox”. The book is one of the most significant intellectual achievements of the past decades, but it is not clear what, exactly, it accomplishes. I explore some alternatives, relating the developed view to the intuitive, pre-theoretic notion of truth.
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