David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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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
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References found in this work BETA
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.
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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.
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