Abstract

I respond to a challenge by Dieterle (Philos Math 18:311–328, 2010) that requires mathematical social constructivists to complete two tasks: (i) counter the myth that socially constructed contents lack objectivity and (ii) provide a plausible social constructivist account of the objectivity of mathematical contents. I defend three theses: (a) the collective agreements responsible for there being socially constructed contents differ in ways that account for such contents possessing varying levels of objectivity, (b) to varying extents, the truth values of objective, socially constructed contents are constrained to be what they are, and (c) typically, socially constructed mathematical contents are objective and possess truth values that are highly constrained by the intended applications of the mathematical facets of reality that they represent.