David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 18 (3):311-328 (2010)
Julian Cole argues that mathematical domains are the products of social construction. This view has an initial appeal in that it seems to salvage much that is good about traditional platonistic realism without taking on the ontological baggage. However, it also has problems. After a brief sketch of social constructivist theories and Cole’s philosophy of mathematics, I evaluate the arguments in favor of social constructivism. I also discuss two substantial problems with the theory. I argue that unless and until social constructivists can address the two concerns, we have reason to be skeptical about social constructivism in the philosophy of mathematics.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Stewart Shapiro (1983). Conservativeness and Incompleteness. Journal of Philosophy 80 (9):521-531.
Jacob Hale (1996). Are Lesbians Women? Hypatia 11 (2):94 - 121.
Keith Devlin (2008). A Mathematician Reflects on the Useful and Reliable Illusion of Reality in Mathematics. Erkenntnis 68 (3):359 - 379.
J. M. Dieterle (2001). Ockham's Razor, Encounterability, and Ontological Naturalism. Erkenntnis 55 (1):51-72.
Citations of this work BETA
Julian C. Cole (2013). Towards an Institutional Account of the Objectivity, Necessity, and Atemporality of Mathematics. Philosophia Mathematica 21 (1):9-36.
Julian C. Cole (forthcoming). Social Construction, Mathematics, and the Collective Imposition of Function Onto Reality. Erkenntnis:1-24.
Similar books and articles
Melinda B. Fagan (2010). Social Construction Revisited: Epistemology and Scientific Practice. Philosophy of Science 77 (1):92-116.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan
Christian Hennig (2010). Mathematical Models and Reality: A Constructivist Perspective. [REVIEW] Foundations of Science 15 (1):29-48.
Michael Corsten (1998). Review Symposium on Searle : John Searle, the Construction of Social Reality. Free Press, New York, 1995. Pp. 241. $25. I. Between Constructivism and Realism—Searle's Theory of the Construction of Social Reality. [REVIEW] Philosophy of the Social Sciences 28 (1):102-121.
Julian C. Cole (2008). Gianluigi Oliveri. A Realist Philosophy of Mathematics. Texts in Philosophy;. Philosophia Mathematica 16 (3):409-420.
Sal Restivo & Wenda K. Bauchspies (2006). The Will to Mathematics: Minds, Morals, and Numbers. [REVIEW] Foundations of Science 11 (1-2):197-215.
Julian Cole & Stewart Shapiro (2003). Review: The Indispensability of Mathematics. [REVIEW] Mind 112 (446):331-336.
Julian C. Cole (2009). Creativity, Freedom, and Authority: A New Perspective On the Metaphysics of Mathematics. Australasian Journal of Philosophy 87 (4):589-608.
Stephen Cole (1992). Making Science: Between Nature and Society. Harvard University Press.
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.
Added to index2010-08-11
Total downloads34 ( #94,048 of 1,724,879 )
Recent downloads (6 months)1 ( #349,126 of 1,724,879 )
How can I increase my downloads?