### Mathematical Platonism as a Necessity of Reason

#### by alexeyburov

Dear colleagues, I am thanking everybody who expressed his interest to my talk, who came to listen me, ask questions and formulate comments of all possible signs. This post suggests one more option for the comments, by the way.

Slides are here.

When the talk was over, Lev noted, smiling, that one thing I forgot to tell: why the Mathematical Platonism is indeed a necessary of reason? Well, maybe, I did want it like that, leaving it for you as a theme of meditation for the coming Christmas :)

So, let each of you have marry Christmas and amazing discoveries in the coming new year of 2017!

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Alexey,

In your talk you indicated that the leading mathematicians that you quoted all implied that there exists something like a Platonic mathematical world, external to the physical world. Mathematics is discovered not invented. What are the possibilities for additional worlds beyond the physical world (referring to Slide 10)? Might those possibilities include a divine designer?

My contention is that a materialist/naturalist would hold that there is no reality beyond the physical world. It’s the physical world and that’s it. This person denies the existence of the Platonic mathematical world and the mental world. This implies that there are no serious mathematicians who are materialist/naturalists. Since mathematics is so embedded in physical laws and the description of matter and energy, it would seem that it would be difficult for a physicist to hold to materialism/naturalism.

Comments?

“Might those possibilities include a divine designer?”

This question was considered in our “Genesis of a Pythagorean Universe”, Al. The Penrose’ Trispherion is something special and sophisticated; it cannot be reasonably accepted as the Terminus. The only candidacy for the Terminus is the Mind per se, or the absolute Mind, as we showed.

“it would seem that it would be difficult for a physicist to hold to materialism/naturalism”

A lot of our colleagues just do not bother to think about all these questions, Al. Some of them call themselves atheists, other skeptics, the rest could be materialists/naturalists/reductionists, but in fact they just do not care. Naturalists, who really bother to think, and think seriously, about the naturalism and other world views, are extremely rare among physicists, I guess. Among the founding fathers of Physics and great figures of the Scientific Revolution of XX century there are no materialists at all.