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James Studd
Oxford University
  1. The Iterative Conception of Set: A (Bi-)Modal Axiomatisation.J. P. Studd - 2013 - Journal of Philosophical Logic 42 (5):1-29.
    The use of tensed language and the metaphor of set ‘formation’ found in informal descriptions of the iterative conception of set are seldom taken at all seriously. Both are eliminated in the nonmodal stage theories that formalise this account. To avoid the paradoxes, such accounts deny the Maximality thesis, the compelling thesis that any sets can form a set. This paper seeks to save the Maximality thesis by taking the tense more seriously than has been customary (although not literally). A (...)
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    Abstraction Reconceived.J. P. Studd - 2016 - British Journal for the Philosophy of Science 67 (2):579-615.
    Neologicists have sought to ground mathematical knowledge in abstraction. One especially obstinate problem for this account is the bad company problem. The leading neologicist strategy for resolving this problem is to attempt to sift the good abstraction principles from the bad. This response faces a dilemma: the system of ‘good’ abstraction principles either falls foul of the Scylla of inconsistency or the Charybdis of being unable to recover a modest portion of Zermelo–Fraenkel set theory with its intended generality. This article (...)
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    Linnebo's Abstractionism and the Bad Company Problem.J. P. Studd - forthcoming - Theoria.
    In Thin Objects: An Abstractionist Account, Linnebo offers what he describes as a “simple and definitive” solution to the bad company problem facing abstractionist accounts of mathematics. “Bad” abstraction principles can be rendered “good” by taking abstraction to have a predicative character. But the resulting predicative axioms are too weak to recover substantial portions of mathematics. Linnebo pursues two quite different strategies to overcome this weakness in the case of set theory and arithmetic. I argue that neither infinitely iterated abstraction (...)
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    Generality, Extensibility, and Paradox.J. P. Studd - 2017 - Proceedings of the Aristotelian Society 117 (1):81-101.
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    Thin Objects: An Abstractionist Account, by Øystein Linnebo. [REVIEW]J. P. Studd - 2020 - Mind 129 (514):646-656.
    Thin Objects: Anionist Account, by LinneboØystein. Oxford: Oxford University Press, 2018. Pp. xviii + 238.
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    Varieties of Logic, by Stewart Shapiro. [REVIEW]J. P. Studd - 2017 - Mind 126 (503):955-963.
    © Mind Association 2017Shapiro’s wide-ranging and thought-provoking book marks a major milestone in the recent debate initiated by JC Beall and Greg Restall’s influential Logical Pluralism. Pluralism about a given subject, such as etiquette or logic, is loosely characterized as ‘the view that different accounts of the subject are equally correct, or equally good, or equally legitimate, or perhaps even true’. Shapiro’s book offers us many ways to adopt ‘an eclectic orientation to logic’. But his official position, which sometimes takes (...)
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