A Formalist Philosophy of Mathematics Part I: Arithmetic

Studia Logica 96 (2):219-238 (2010)
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Abstract

In this paper I present a formalist philosophy mathematics and apply it directly to Arithmetic. I propose that formalists concentrate on presenting compositional truth theories for mathematical languages that ultimately depend on formal methods. I argue that this proposal occupies a lush middle ground between traditional formalism, fictionalism, logicism and realism

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Citations of this work

Conservative Deflationism?Julien Murzi & Lorenzo Rossi - 2020 - Philosophical Studies 177 (2):535-549.
Informal Proof, Formal Proof, Formalism.Alan Weir - 2016 - Review of Symbolic Logic 9 (1):23-43.

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References found in this work

Is There a Problem About Substitutional Quantification?Saul A. Kripke - 1976 - In Gareth Evans & John McDowell (eds.), Truth and Meaning. Oxford University Press. pp. 324-419.
Higher-Order Logic.Johan van Benthem & Kees Doets - 1989 - Journal of Symbolic Logic 54 (3):1090-1092.

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