Friday, May 13, 2016
While I agree with something like Cockshott, et. al. and Lakoff and Nunoz's accounts of the origins of mathematical concepts (see Computation and its Limits, Oxford University Press, 2012, chapter 2 and Where Mathematics Comes From, Basic Books, 2000) I do believe that mathematical entities exist fully independent of the human mind or life. I believe that mathematics is, among other things, a science of patterns, and patterns exist. (see M. D. Resnik, Mathematics as a Science of Patterns, Oxford University Press, 1997) We can be talking about patterns of anything, patterns in our sensory inputs if nothing else. (Asa H builds concepts from these.) If anything exists then patterns may exist in it.