Julian C. Cole
Bio: Dr. Cole joined the faculty at Buffalo State College in Fall 2008 after spending two years teaching at the University of Texas-Pan American. His research interests focus primarily on the metaphysics and epistemology of mathematics. His main project is to defend an account of mathematics that maintains that mathematical entities are freestanding institutional entities.
Dr. Cole teaches classes in logic, metaphysics, and epistemology.
Ph.D. (Philosophy): The Ohio State University, 2005
Ph.D. (Mathematics): University of St. Andrews, 1999
B.Sc. (Pure Mathematics): University of St. Andrews, 1995
Areas of Interest:
Philosophy of Mathematics, Institutional Reality, Logic, Philosophy of Logic, Metaphysics, Epistemology, History of Analytic Philosophy
''Towards an Institutional Account of the Objectivity, Necessity, and Atemporality of Mathematics,'' Philosophia Mathematica. Online First August 20, 2012. Preprint
''An Abstract Status Function Account of Corporations,'' Philosophy of the Social Sciences, Online First July 31, 2012. Preprint
"Creativity, Freedom, and Authority: A New Perspective on the Metaphysics of Mathematics", Australasian Journal of Philosophy 87 (2009), 589-608. Preprint
"Mathematical Domains: Social Constructs?" in Bonnie Gold and Roger Simons ed., Proof and Other Dilemmas: Mathematics and Philosophy, Mathematics Association of America, 2008, 109-128. Preprint
Philosophy Book Reviews:
Review of G. Sommaruga's, Foundational Theories of Classical and Constructive Mathematics, Studia Logica (in press).
Review of G. Oliveri's, A Realist Philosophy of Mathematics, Philosophia Mathematica 16(3) (2008), 409-420.
"Social Construction: The Neglected Option". A Critical Analysis of J. Azzouni, Deflating Existential Consequence: A Case for Nominalism, Notre Dame Journal of Formal Logic 46(2) (2005), 235-247.
Review of D. Corfield’s, Towards a Philosophy of Real Mathematics, Math. Rev. 2004f:00005.
Review of M. Colyvan, The Indispensability of Mathematics, Mind 112 (2003), 331-336 (with Prof. Stewart Shapiro).
Review of S. Y. Auyang, Foundations of Complex-System Theories in Economics, Evolutionary Biology, and Statistical Physics, Brit. J. Phil. Sci. 51 (2000), 187-190.
"Multifractal Variation Measures and Multifractal Density Theorems", Real Analysis Exchange 28 (2003), 501-514 (with Dr. Lars Olsen).
"Relative Multifractal Analysis", Chaos, Solitons and Fractals 11 (2000), 2233-2250.
Work in Progress:
"On Temporal and Modal Profile and Features of Institutional Ontology"
"Untainted Dependency: An Answer to the Epistemological Challenges".
''Social Constructivism Concerning Mathematics'' Philosophy Department Seminar on Truth, Objectivity, and (Social) Construction, Stanford University, December 2011.
"Towards an Institutional Account of the Objectivity, Necessity, and Atemporality of Mathematics", Buffalo Logic Colloquium, University at Buffalo, October 2011.
‘Comments on Fabrizio Cariani’s ''Mathematical Induction and Explanatory Value in Mathematics'',’ Central Division Meeting of the American Philosophical Association, March 2011.
''Power without Power Relations: Conceptual Space for the Social Construction of Mathematics,'' Conversations In and Out of the Disciplines Series, Buffalo State College, March 2011.
"Mathematical Structuralism Today", Buffalo Logic Colloquium, University at Buffalo, September 2009.
"Mathematical Platonism", Buffalo Logic Colloquium, University at Buffalo, August 2009.
"Untainted Dependency: An Answer to the Epistemological Challenges", Department Colloquium, Macalster College, MN, October 2008.
"Creativity, Freedom, and Authority: A New Perspective on the Metaphysics of Mathematics", Buffalo Logic Colloquium, University at Buffalo, September 2008.