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  1. Luke Jerzykiewicz (2012). Mathematical Realism and Conceptual Semantics. In Oleg Prosorov & Vladimir Orevkov (eds.), Philosophy, Mathematics, Linguistics: Aspects of Interaction. Euler International Mathematical Institute.
    The dominant approach to analyzing the meaning of natural language sentences that express mathematical knowl- edge relies on a referential, formal semantics. Below, I discuss an argument against this approach and in favour of an internalist, conceptual, intensional alternative. The proposed shift in analytic method offers several benefits, including a novel perspective on what is required to track mathematical content, and hence on the Benacerraf dilemma. The new perspective also promises to facilitate discussion between philosophers of mathematics and cognitive scientists (...)
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  2. Luke Jerzykiewicz (2009). A Cognitive Approach to Benacerraf's Dilemma. Dissertation, University of Western Ontario
    One of the important challenges in the philosophy of mathematics is to account for the semantics of sentences that express mathematical propositions while simultaneously explaining our access to their contents. This is Benacerraf’s Dilemma. In this dissertation, I argue that cognitive science furnishes new tools by means of which we can make progress on this problem. The foundation of the solution, I argue, must be an ontologically realist, albeit non-platonist, conception of mathematical reality. The semantic portion of the problem can (...)
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  3. Luke Jerzykiewicz & Sam Scott (2003). Psychologism and Conceptual Semantics. Behavioral and Brain Sciences 26 (6):682-683.
    Psychologism is the attempt to account for the necessary truths of mathematics in terms of contingent psychological facts. It is widely regarded as a fallacy. Jackendoff's view of reference and truth entails psychologism. Therefore, he needs to either provide a defense of the doctrine, or show that the charge doesn't apply.
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