From Maximal Intersubjectivity to Objectivity: An Argument from the Development of Arithmetical Cognition

Abstract One main challenge of non-platonist philosophy mathematics is to account for the apparent objectivity mathematical knowledge. Cole and Feferman have proposed accounts that aim explain through intersubjectivity In this paper, focusing on arithmetic, I will argue these as such cannot However, with support from recent progress in empirical study development arithmetical cognition, a stronger argument can be provided. show since arithmetic (partly) determined by biologically evolved proto-arithmetical abilities, knowledge understood maximally intersubjective. This maximal intersubjectivity, argue, lead experience objectivity, thus providing solution problem reconciling (apparent)