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John Wigglesworth
University of Vienna
  1.  47
    Logical Anti-Exceptionalism and Theoretical Equivalence.John Wigglesworth - 2017 - Analysis 77 (4):759-767.
    Anti-exceptionalism about logic takes logical theories to be continuous with scientific theories. Scientific theories are subject to criteria of theoretical equivalence. This article compares two types of theoretical equivalence – one syntactic and one semantic – in the context of logical anti-exceptionalism, and argues that the syntactic approach leads to undesirable consequences. The anti-exceptionalist should therefore take a semantic approach when evaluating whether logical theories, understood as scientific theories, are equivalent. This article argues for a particular semantic approach, in terms (...)
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  2.  53
    Logical Anti-Exceptionalism and Theoretical Equivalence.John Wigglesworth - 2017 - Analysis 77 (4):768-768.
    _ doi:10.1093/analys/anx072 _, published: 27 June 2017.
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  3.  8
    The Structuralist Thesis Reconsidered.Georg Schiemer & John Wigglesworth - 2019 - British Journal for the Philosophy of Science 70 (4):1201-1226.
    Øystein Linnebo and Richard Pettigrew have recently developed a version of non-eliminative mathematical structuralism based on Fregean abstraction principles. They argue that their theory of abstract structures proves a consistent version of the structuralist thesis that positions in abstract structures only have structural properties. They do this by defining a subset of the properties of positions in structures, so-called fundamental properties, and argue that all fundamental properties of positions are structural. In this article, we argue that the structuralist thesis, even (...)
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  4.  9
    Introduction.Carolin Antos, Neil Barton, Sy-David Friedman, Claudio Ternullo & John Wigglesworth - forthcoming - Synthese:1-7.
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  5.  20
    The Structuralist Thesis Reconsidered.Georg Schiemer & John Wigglesworth - 2017 - British Journal for the Philosophy of Science:axy004.
    Øystein Linnebo and Richard Pettigrew have recently developed a version of non-eliminative mathematical structuralism based on Fregean abstraction principles. They argue that their theory of abstract structures proves a consistent version of the structuralist thesis that positions in abstract structures only have structural properties. They do this by defining a subset of the properties of positions in structures, so-called fundamental properties, and argue that all fundamental properties of positions are structural. In this paper, we argue that the structuralist thesis, even (...)
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  6.  14
    Individuating Logics: A Category‐Theoretic Approach.John Wigglesworth - 2019 - Thought: A Journal of Philosophy 8 (3):200-208.
    Thought: A Journal of Philosophy, EarlyView.
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  7.  49
    Set-Theoretic Dependence.John Wigglesworth - 2015 - Australasian Journal of Logic 12 (3):159-176.
    In this paper, we explore the idea that sets depend on, or are grounded in, their members. It is said that a set depends on each of its members, and not vice versa. Members do not depend on the sets that they belong to. We show that the intuitive modal truth conditions for dependence, given in terms of possible worlds, do not accurately capture asymmetric dependence relations between sets and their members. We extend the modal truth conditions to include impossible (...)
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  8.  16
    Non-Eliminative Structuralism, Fregean Abstraction, and Non-Rigid Structures.John Wigglesworth - forthcoming - Erkenntnis:1-15.
    Linnebo and Pettigrew have recently developed a version of non-eliminative mathematical structuralism based on Fregean abstraction principles. They recognize that this version of structuralism is vulnerable to the well-known problem of non-rigid structures. This paper offers a solution to the problem for this version of structuralism. The solution involves expanding the languages used to describe mathematical structures. We then argue that this solution is philosophically acceptable to those who endorse mathematical structuralism based on Fregean abstraction principles.
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  9.  31
    The Boundary Stones of Thought.John Wigglesworth - 2017 - Philosophical Quarterly 67 (266):219-221.
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  10.  10
    Bi-Modal Naïve Set Theory.John Wigglesworth - 2018 - Australasian Journal of Logic 15 (2):139-150.
    This paper describes a modal conception of sets, according to which sets are 'potential' with respect to their members. A modal theory is developed, which invokes a naive comprehension axiom schema, modified by adding `forward looking' and `backward looking' modal operators. We show that this `bi-modal' naive set theory can prove modalized interpretations of several ZFC axioms, including the axiom of infinity. We also show that the theory is consistent by providing an S5 Kripke model. The paper concludes with some (...)
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  11.  15
    The Metaphysics of Logic. Edited by Penelope Rush. Cambridge: Cambridge University Press, 2014, Pp. 270, £60 . ISBN: 978-1-107-03964-3. [REVIEW]John Wigglesworth - 2015 - Philosophy 90 (4):710-715.