A Two-Part Defense of Intuitionistic Mathematics

  • Samuel Elliott

Abstract

The classical interpretation of mathematical statements can be seen as comprising two separate but related aspects: a domain and a truth-schema. L. E. J. Brouwer’s intuitionistic project lays the groundwork for an alternative conception of the objects in this domain, as well as an accompanying intuitionistic truth-schema. Drawing on the work of Arend Heyting and Michael Dummett, I present two objections to classical mathematical semantics, with the aim of creating an opening for an alternative interpretation. With this accomplished, I then make the case for intuitionism as a suitable candidate to fill this void.

Published
2021-04-05
How to Cite
Elliott, S. (2021). A Two-Part Defense of Intuitionistic Mathematics. Stance: An International Undergraduate Philosophy Journal, 14(1), 27 - 39. https://doi.org/10.33043/S.14.1.27 - 39
Section
Articles