Julian C. Cole

Ph.D., Philosophy, The Ohio State University
Ph.D., Mathematics, University of St. Andrews
Julian Cole's Curriculum Vitae

Areas of Interest
Philosophy of Mathematics, Institutional Reality, Logic, Philosophy of Logic, Metaphysics, Epistemology, History of Analytic Philosophy

About Julian C. Cole

Dr. Julian Cole joined the faculty at SUNY Buffalo State 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 and social ontology. His main project is to defend an institutional account of mathematics that maintains that mathematical entities are freestanding institutional entities.

Since 2017, Dr. Cole has served as the Area Editor for the Philosophy of Mathematics for the Internet Encyclopedia of Philosophy.

Publications

Philosophy Articles

"Humanism about Abstract Objects", in Bharath Sriraman (ed.) Humanizing Mathematics and Its Philosophy: Essays Celebrating the 90th Birthday of Reuben Hersh, Birkhäuser, Basel, Switzerland, 2017, pp. 151–165. Preprint

"Social Construction, Mathematics, and the Collective Imposition of Function onto Reality", Erkenntnis 80(6) (2015), pp. 1101–1124. Preprint

''An Abstract Status Function Account of Corporations,'' Philosophy of the Social Sciences. 44(1) (2014), pp. 23–44.  Preprint

''Towards an Institutional Account of the Objectivity, Necessity, and Atemporality of Mathematics,'' Philosophia  Mathematica 21(1) (2013), pp. 9–36. Preprint

"Mathematical Structuralism Today." An invited survey article for Blackwell's Philosophy Compass. Preprint.

"Mathematical Platonism." An encyclopedia article for the Internet Encyclopedia of Philosophy. 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 Gila Sher’s Epistemic Friction: An Essay on Knowledge, Truth, and Logic, Philosophia Mathematica (in press)

Review of Alan Weir’s Truth Through Proof: A Formalist Foundation for Mathematics, Philosophy in Review 32 (6) (2012), pp. 529–532

Review of G. Sommaruga's Foundational Theories of Classical and Constructive Mathematics, Studia Logica 100 (5) (2012), pp. 1047–1050

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's 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's The Indispensability of Mathematics, Mind 112(446) (2003), 331-336 (with Prof. Stewart Shapiro).

Review of S. Y. Auyang's Foundations of Complex-System Theories in Economics, Evolutionary Biology, and Statistical Physics, Brit. J. Phil. Sci. 51 (2000), 187-190.

Mathematics Articles
"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.

Recent Presentations
"Numbers as Surrogate Subject Matters", Analytic Philosophy Conference on Number, Inter-University Center, Dubrovnik, Croatia, June 2017

"Necessity, Atemporality, and Representational Dependence", Logic and Metaphysics Workshop, CUNY Graduate Center, October 2016

"Can Social Constructs be Atemporal and Amodal?", Logic Colloquium, University of Melbourne, March 2016

"Institutions and Abstract Objects", Buffalo Logic Colloquium, University at Buffalo, March 2016

"Can Social Constructs be Atemporal and Amodal?", Philosophy Department Colloquium, University of Miami, November 2015

"Can Social Constructs be Atemporal and Amodal?", Buffalo Logic Colloquium, University at Buffalo, November 2014

"Institutionalizing Ante Rem Structuralism", Philosophy Department Colloquium, University of Hong Kong, February 2014

"Institutionalizing Ante Rem Structuralism", Buffalo Logic Colloquium, University at Buffalo, November 2013

"Social Construction, Mathematics, and the Collective Imposition of Function onto Reality", Regional Meeting of the American Catholic Philosophical Association, Niagara University, April 2013

"Mathematics as the Collective Imposition of Function onto Reality", Buffalo Logic Colloquium, University at Buffalo, November 2012

"On the Temporal and Modal Profile of Institutional Ontology", SUNY Buffalo State, December 2011

''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, 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.