It's worth noting that the idea that mathematical forms are mind-independent and can be "accessed" is taken seriously by non-crackpot philosophers. It's not a s

It's worth noting that the idea that mathematical forms are mind-independent and can be "accessed" is taken seriously by non-crackpot philosophers. It's not a settled matter. See the SEP[0] entry for some of the debates surrounding it. A nice passage is: >This counterfactual independence (as we may call it) is accepted by most analytic philosophers. To see why, consider the role that mathematics plays in our reasoning. We often reason about scenarios that aren’t actual. Were we to build a bridge across this canyon, say, how strong would it have to be to withstand the powerful gusts of wind? Sadly, the previous bridge collapsed. Would it have done so had the steel girders been twice as thick? This form of reasoning about counterfactual scenarios is indispensable both to our everyday deliberations and to science. The permissibility of such reasoning has an important consequence. Since the truths of pure mathematics can freely be appealed to throughout our counterfactual reasoning, it follows that these truths are counterfactually independent of us humans, and all other intelligent life for that matter. That is, had been there been no intelligent life, these truths would still have remained the same. [0] https://plato.stanford.edu/entries/platonism-mathematics/ https://plato.stanford.edu/entries/platonism-mathematics/