Publications

Resnik’s structuralism in the light of history of mathematics / Journal Article

Kvasz, L. Journal of Applied Logics: IfCoLog Journal of Logics and their Application. Vol. 5, N° 6 (2018), pp. 1307–1335. E-ISSN 2055-3706

The aim of this paper is to juxtapose with the history of mathematics the basic principles of structuralism presented by Michael Resnik in his Mathematics as a Science of Patterns. This juxtaposition shows that Resnik’s structuralism has sufficient conceptual resources to offer a plausible interpretation of the historical material, whilst also pointing to some problems within Resnik’s theory.

About Project

The aim of the project is to develop a formalization of epistemology analogous to Frege’s formalization of logic. The core of the project centres upon five theses setting out the path to a truly formal epistemology. These theses are based on the deeply-held belief that the current trend in the formalization of epistemology is insufficiently radical.

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