On Apr 5, 2:25 pm, Zuhair <zaljo...@gmail.com> wrote: > > So: > > Mathematics is about analytics fictional or real, most interestingly > those in proximity with reality. > > Zuhair
It is interesting to investigate the say meta-physical basis for this virtual-real proximity. The psychological basis are clear, as any fiction it wont go viral unless it meets some demands that many people share. The pervasiveness of applicability of mathematics can be seen to be due to mathematicians limiting their logically driven virtual reality to mimic pervasive relations and properties throughout the physical universe, as I said for example an investigation of Part- whole relation and Connectedness would be of course expected to have pervasive applications wide across, since every scientific discipline would encounter such relations. Similarly the study of a relation like membership and collections would definitely have pervasive applications, because those relations are already pervasive. Truly the mathematical study of those relations puts them under harsh strict rule guidance in a fictional world starting from premises that do possess high proximity to what is thought of them to be in the real world, the so called "naturalness" of those axioms, such conditions can be argued that the real world need not imitate or follow so harshly as regards those relations, but still it is the case that studying those pervasive relations cannot really be contemplated otherwise, and analytics of those relations under those harsh strict virtual grounds had been proved over time to be useful in understanding them in the real world! which mean that there is some connection between the logically driven fictional world and the real world they are approximating. However one to understand that this connection might not be identical the fictional world only PROXIMATE the reals world, and of course some fictional processing might lead us astray from the real world happenings but the error is small to be significant from the practical stand point. What are the meta-physics of that connection deserves to be studied.
So interesting mathematics can be understood as: Pervasive analytics real or fictional.
If we redefine virtual to be real or proximal fictional, then mathematics in the interesting sense burns down to
Pervasive virtual analytics.
So at the end here I've presented the answers to Freges' objections to formalism which are the main ones I understand.