The Quasi-Empirical Epistemology of Mathematics

Kriterion – Journal of Philosophy 36 (2):207-226 (2022)
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Abstract

This paper clarifies and discusses Imre Lakatos’ claim that mathematics is quasi-empirical in one of his less-discussed papers A Renaissance of Empiricism in the Recent Philosophy of Mathematics. I argue that Lakatos’ motivation for classifying mathematics as a quasi-empirical theory is epistemological; what can be called the quasi-empirical epistemology of mathematics is not correct; analysing where the quasi-empirical epistemology of mathematics goes wrong will bring to light reasons to endorse a pluralist view of mathematics.

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Ellen Shi
University of California, Irvine

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References found in this work

The foundations of arithmetic.Gottlob Frege - 1884/1950 - Evanston, Ill.,: Northwestern University Press.
Realism in mathematics.Penelope Maddy - 1990 - New York: Oxford University Prress.
Paraconsistent logic.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.
Philosophy of Mathematics.Øystein Linnebo - 2017 - Princeton, NJ: Princeton University Press.
Logical Syntax of Language.Rudolf Carnap - 1937 - London,: Routledge. Edited by Amethe Smeaton.

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