TY - JOUR AU - Elliott, Samuel PY - 2021/04/05 Y2 - 2024/03/29 TI - A Two-Part Defense of Intuitionistic Mathematics JF - Stance: an international undergraduate philosophy journal JA - stance VL - 14 IS - 1 SE - Articles DO - 10.33043/S.14.1.27-39 UR - https://openjournals.bsu.edu/stance/article/view/S.14.1.27-39 SP - 27-39 AB - <div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p>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.</p></div></div></div> ER -