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31Dummett’s Criticism of the Context PrincipleGrazer Philosophische Studien 92 (1): 23-51. 2015.This paper discusses Michael Dummett’s criticism of the Neo-Fregean concep- tion of the context principle. I will present four arguments by Dummett that purport to show that the context principle is incompatible with platonism. I discuss and ultimately reject each argument. I will close this paper by identifying what I take to be a deep rooted tension in the Neo-Fregean project which might have motivated Dummett’s opposition to the Neo-Fregean use of the context principle. I argue that this tens…Read more
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28Bayesian reasoning in avalanche terrain: a theoretical investigationJournal of Adventure Education and Outdoor Learning 19 (1): 84-95. 2019.In this article, I explore a Bayesian approach to avalanche decision-making. I motivate this perspective by highlighting a version of the base-rate fallacy and show that a similar pattern applies to decision-making in avalanche-terrain. I then draw out three theoretical lessons from adopting a Bayesian approach and discuss these lessons critically. Lastly, I highlight a number of challenges for avalanche educators when incorporating the Bayesian perspective in their curriculum.
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12Gratuitous risk: danger and recklessness perception of adventure sports participantsJournal of the Philosophy of Sport 1-18. forthcoming.Since the 1970’s there has been a major increase in adventure sports participation but it seems that engagement in such sports comes with a stigma: adventure sports participants are often regarded as reckless ‘daredevils’. We approach the questions about people’s perception of risk and recklessness in adventure sports by combining empirical research with philosophical analysis. First, we provide empirical evidence that suggests that laypeople tend to assess the danger of adventure sports as grea…Read more
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11Basic Laws of Arithmetic (edited book)Oxford University Press UK. 2013.This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik, with introduction and annotation. The importance of Frege's ideas within contemporary philosophy would be hard to exaggerate. He was, to all intents and purposes, the inventor of mathematical logic, and the influence exerted on modern philosophy of language and logic, and indeed on general epistemology, by the philosophical framework.
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8Expert and lay judgements of danger and recklessness in adventure sportsJournal of Risk Research 26 (2): 133-146. 2023.We investigate differences in perceived danger and recklessness judgements by experts (experienced skiers, N=362) and laypeople (N=2080) about participation in adventure sports across the same judgemental task using a third person perspective. We investigate the relationship between danger and recklessness and the extent to which fatality frequency, as well as other contextual factors such as gender, dependants, competence, and motivations of the sports participant affect expert and laypeople ju…Read more
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6Ed Zalta’s Version of Neo-Logicism – a Friendly Letter of ComplaintIn Alexander Hieke & Hannes Leitgeb (eds.), Reduction, abstraction, analysis: proceedings of the 31th International Ludwig Wittgenstein-Symposium in Kirchberg, 2008, De Gruyter. pp. 305-310. 2009.
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5Mountaineering and the Value of Self‐SufficiencyIn Fritz Allhoff & Stephen E. Schmid (eds.), Climbing ‐ Philosophy for Everyone, Wiley‐blackwell. 2010-09-24.This chapter contains sections titled: What is Self‐Sufficiency? The Value of Self‐Sufficiency Objections Concluding Remarks Notes.
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1A Framework for Implicit Definitions and the A prioriIn Philip A. Ebert & Marcus Rossberg (eds.), Abstractionism: Essays in Philosophy of Mathematics, Oxford University Press Uk. pp. 133--160. 2016.
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1Introduction to AbstractionismIn Philip A. Ebert & Marcus Rossberg (eds.), Abstractionism: Essays in Philosophy of Mathematics, Oxford University Press Uk. pp. 3-33. 2016.
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Contemporary Reviews of Frege’s GrundgesetzeIn Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic, Oxford University Press. pp. 637-652. 2019.
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Mathematical Creation in Frege's GrundgesetzeIn Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic, Oxford University Press. pp. 325-342. 2019.
University of St. Andrews
PhD, 2006
Stirling, Stirling, United Kingdom of Great Britain and Northern Ireland
Areas of Specialization
Epistemology |
Philosophy of Mathematics |
20th Century Analytic Philosophy |