Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism

New York, USA: Oxford University Press (2020)
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Abstract

What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims, as well as our logical and mathematical knowledge.

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Jared Warren
Stanford University

Citations of this work

Limits of Abductivism About Logic.Ulf Hlobil - 2021 - Philosophy and Phenomenological Research 103 (2):320-340.
Defending understanding-assent links.Jared Warren - 2021 - Synthese 199 (3-4):9219-9236.
Infinite Reasoning.Jared Warren - 2021 - Philosophy and Phenomenological Research 103 (2):385-407.

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References found in this work

Aspects of the Theory of Syntax.Noam Chomsky - 1965 - Cambridge, MA, USA: MIT Press.
Writing the Book of the World.Theodore Sider - 2011 - Oxford, England: Oxford University Press.
Demonstratives: An Essay on the Semantics, Logic, Metaphysics and Epistemology of Demonstratives and other Indexicals.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein (eds.), Themes From Kaplan. Oxford University Press. pp. 481-563.
What is it like to be a bat?Thomas Nagel - 1974 - Philosophical Review 83 (October):435-50.

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