On Thursday, September 27, 2018 at 8:02:36 PM UTC-5, [email protected] 
wrote:
>
> Hello I think this good forum for this topic - what do you think about 
> Mathematical Universe, there are very big arguments for that hypothesis:
>
> - applicability of mathematic, to natural sciences
> - all we discovere are structures and I didnt find explanation of the 
> diference beetwen physical structures and mathematical structures.
> - scientists and philosophers of science tend to affirm belive in diverse 
> structure and homogeneous substance (neutral monism) or mathematicism vide 
> Ladyman, Ross, French, Tegmark etc.
>
> What are your thoughts. 
>
>
> Regards
>

 I think it is best to assume pragmatic stance with respect to this. The 
idea the physical universe is ultimately mathematics is a huge category 
mixing that suffers from problems. Physics is an empirical subject that 
tests the workings of a theory by performing observations and measurements. 
Mathematics is a subject concerned with abstract structures and objects and 
their logical relationships. Physical objects move through space or are an 
aspect of geometrodynamics in relativity and they obey conservation rules. 
As such mathematics is used to describe physical systems and to compute 
things. This is different than saying the two subjects are equivalent. 
Mathematics is not an empirical subject, though with computers some areas 
of math have started to take one a sort of synthetic empiricism. Physics is 
also not something that is determined entirely by logical relationships and 
just pure theory. We have some issues of course with quantum gravitation 
and whether that can ever be empirically brought to tests. 

Quantum mechanics is close to being a sort of physical logic. Quantum 
mechanics is close to being a case of MUH, though I would not go so far as 
to actually make that pronouncement. For  those who take the trouble to 
learn about the bosonic string, say by reading Polchinski's vol 1 *String 
Theory* will see this is really pure quantum mechanics according to a more 
complete understanding of the complex plane. This may go further with 
modular forms. Vol 2 of Polchinski's book works with supersymmetry. This 
might be ultimately a deeper description of quantum mechanics. Maybe 
quantum mechanics is just a modular system of automorphisms over the 
Fischer-Griess Monster Group that maintains a conservation of this as the 
fundamental vacuum state. So this all sounds highly mathematical, but I 
would still hesitate to say physics is mathematics.

The relationship between physics and mathematics is maybe unknowable. I 
think of Garrison Keillor with his Guy Noir skits that start with, "One man 
on the tenth floor of the Acme Building searches for answers to life's 
persistent questions; Guy Noir private eye."

LC

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