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398Contradictions and falling bridges: what was Wittgenstein’s reply to Turing?British Journal for the History of Philosophy 29 (3). 2020.In this paper, I offer a close reading of Wittgenstein's remarks on inconsistency, mostly as they appear in the Lectures on the Foundations of Mathematics. I focus especially on an objection to Wittgenstein's view given by Alan Turing, who attended the lectures, the so-called ‘falling bridges’-objection. Wittgenstein's position is that if contradictions arise in some practice of language, they are not necessarily fatal to that practice nor necessitate a revision of that practice. If we then assu…Read more
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242Rules as constitutive practices defined by correlated equilibriaInquiry: An Interdisciplinary Journal of Philosophy 65. 2022.In this paper, I present a game-theoretic solution to the rule-following paradox in terms of what I will call basic constitutive practices. The structure of such a practice P constitutes what it is to take part in P by defining the correctness conditions of our most basic concepts as those actions that lie on the correlated equilibrium of P itself. Accordingly, an agent S meant addition by his use of the term ‘+’ because S is taking part in a basic constitutive practice of adding where quus-like…Read more
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170Was Wittgenstein a radical conventionalist?Synthese 203 (2): 1-31. 2024.This paper defends a reading of Wittgenstein’s philosophy of mathematics in the Lectures on the Foundation of Mathematics as a radical conventionalist one, whereby our agreement about the particular case is constitutive of our mathematical practice and ‘the logical necessity of any statement is a direct expression of a convention’ (Dummett 1959, p. 329). On this view, mathematical truths are conceptual truths and our practices determine directly for each mathematical proposition individually wh…Read more
University of St. Andrews
PhD, 2020
Iceland
Areas of Specialization
Philosophy of Mathematics |
Logic and Philosophy of Logic |
Ludwig Wittgenstein |