A formalist philosophy of mathematics part I: Arithmetic

Studia Logica 96 (2):219-238 (2010)
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
Keywords Formalism  Philosophy of Mathematics  Truth Theory  Fictionalism
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DOI 10.2307/40927690
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References found in this work BETA
Saul A. Kripke (1976). Is There a Problem About Substitutional Quantification? In Gareth Evans & John McDowell (eds.), Truth and Meaning. Oxford University Press 324-419.
Johan van Benthem & Kees Doets (1989). Higher-Order Logic. Journal of Symbolic Logic 54 (3):1090-1092.

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