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Profile: Julian Cole (State University of New York, Buffalo)
  1. Julian C. Cole (2013). Towards an Institutional Account of the Objectivity, Necessity, and Atemporality of Mathematics. Philosophia Mathematica 21 (1):9-36.
    I contend that mathematical domains are freestanding institutional entities that, at least typically, are introduced to serve representational functions. In this paper, I outline an account of institutional reality and a supporting metaontological perspective that clarify the content of this thesis. I also argue that a philosophy of mathematics that has this thesis as its central tenet can account for the objectivity, necessity, and atemporality of mathematics.
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  2. Julian C. Cole (2012). An Abstract Status Function Account of Corporations. Philosophy of the Social Sciences (1):0048393112455106.
    In this article, I articulate and defend an account of corporations motivated by John Searle’s discussion of them in his Making the Social World. According to this account, corporations are abstract entities that are the products of status function Declarations. They are also connected with, though not reducible to, various people and certain of the power relations among them. Moreover, these connections are responsible for corporations having features that stereotypical abstract entities lack (e.g., the abilities to take actions and make (...)
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  3. Julian C. Cole (2012). Alan Weir , Truth Through Proof: A Formalist Foundation for Mathematics . Reviewed By. Philosophy in Review 32 (6):529-532.
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  4. Julian C. Cole (2012). Giovanni Sommaruga (Ed.), Foundational Theories of Classical and Constructive Mathematics, Springer, The Western Ontario Series in Philosophy of Science, Vol. 76, 2011, Pp. Xi+314. ISBN 978-94-007-0430-5 (Hardcover) US $139.00. [REVIEW] Studia Logica 100 (5):1047-1050.
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  5. Julian C. Cole, Mathematical Platonism. Internet Encyclopedia of Philosophy.
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  6. Julian C. Cole (2010). Mathematical Structuralism Today. Philosophy Compass 5 (8):689-699.
    Two topics figure prominently in recent discussions of mathematical structuralism: challenges to the purported metaphysical insight provided by sui generis structuralism and the significance of category theory for understanding and articulating mathematical structuralism. This article presents an overview of central themes related to these topics.
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  7. Julian C. Cole (2009). Creativity, Freedom, and Authority: A New Perspective On the Metaphysics of Mathematics. Australasian Journal of Philosophy 87 (4):589-608.
    I discuss a puzzle that shows there is a need to develop a new metaphysical interpretation of mathematical theories, because all well-known interpretations conflict with important aspects of mathematical activities. The new interpretation, I argue, must authenticate the ontological commitments of mathematical theories without curtailing mathematicians' freedom and authority to creatively introduce mathematical ontology during mathematical problem-solving. Further, I argue that these two constraints are best met by a metaphysical interpretation of mathematics that takes mathematical entities to be constitutively constructed (...)
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  8. Julian C. Cole (2008). Gianluigi Oliveri. A Realist Philosophy of Mathematics. Texts in Philosophy;. Philosophia Mathematica 16 (3):409-420.
  9. Julian C. Cole (2008). Mathematical Domains: Social Constructs? In Bonnie Gold & Roger Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematics Association of America. 109--128.
    I discuss social constructivism in the philosophy of mathematics and argue for a novel variety of social constructivism that I call Practice-Dependent Realism.
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  10. Julian C. Cole (2005). Book Review: Jody Azzouni. Deflating Existential Consequence: A Case for Nominalism. [REVIEW] Notre Dame Journal of Formal Logic 46 (2):235-247.
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