I don’t think I agree with the Von Neumann quote (vide “pure mathematics”). One thing that does seem to guard against some of the problems discussed in the first quote is the rigor of proof (i.e. either be empirically-driven or formal (or both)).
I don’t think I agree with the Von Neumann quote (vide “pure mathematics”). One thing that does seem to guard against some of the problems discussed in the first quote is the rigor of proof (i.e. either be empirically-driven or formal (or both)).