Possibilities, models, and intuitionistic logic: Ian Rumfitt’s The boundary stones of thought

Inquiry: An Interdisciplinary Journal of Philosophy 62 (7):812-825 (2019)
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Abstract

ABSTRACTAIan Rumfitt's new book presents a distinctive and intriguing philosophy of logic, one that ultimately settles on classical logic as the uniquely correct one–or at least rebuts some prominent arguments against classical logic. The purpose of this note is to evaluate Rumfitt's perspective by focusing on some themes that have occupied me for some time: the role and importance of model theory and, in particular, the place of counter-arguments in establishing invalidity, higher-order logic, and the logical pluralism/relativism articulated in my own recent *Varieties of logic*.

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Stewart Shapiro
Ohio State University

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References found in this work

Philosophy of logic.Willard Van Orman Quine - 1970 - Cambridge, Mass.: Harvard University Press. Edited by Simon Blackburn & Keith Simmons.
Frege.Michael Dummett - 1981 - Cambridge: Harvard University Press.
Model-Theoretic Logics.Jon Barwise & Solomon Feferman - 2017 - Cambridge University Press.
Varieties of Logic.Stewart Shapiro - 2014 - Oxford and New York: Oxford University Press.

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