On 17 May 2014 10:06, John Mikes <[email protected]> wrote:

> Dear Liz, thanks for your care to reflect upon my text and I apologize for
> my LATE  REPLY.
> You ask about my opinion on Tegmark's "math-realism" - well, if it were
> REALISM
> indeed, he would not have had to classify it 'mathemaitcal'. I consider it
> a fine sub chapter to ideas about *realism* what we MAY NOT KNOW at our
> present level.
> Smart Einstein etc. may have invented 'analogue' relativity etc., it does
> not exclude all those other ways Nature may apply beyond our present
> knowledge.
> Our ongoing 'scientific thinking' - IS - inherently mathematical, so
> wherever you look you find it in the books.
>

I assume the implication of what you're saying here is that the reason
physics appears mathematical is because that's the way we think. I suspect
most physicists would say the opposite - that we think that way because
that's how nature works (or at least that's how it appears to work so far).
If one is going to take the position that maths is a human invention, then
one has the hard problem of explaining why maths is so "unreasonably
effective" in physics while no other system of thought comes close.

>
> I did not find so far a *natural spot* self-calculating 374 pieces of
> something. and draw conclusions of it NOT being 383. Nature was quite well
> before humans invented the decimal system, or the zero. And please, do not
> call it a 'discovery'. Nowhere in Nature are groupings of decimally
> arranged units presented for processing/registration.
>

I'm not sure what you mean here. (I *think* you may be confusing the fact
that 1+1=2 with the statement "1+1=2") Regardless of the notation we happen
to use, there are numbers in nature - pi, the ratios of the strengths of
various fundamental forces and masses, etc. Also, various mathematical
theorems have been discovered by different people using different
approaches, yet they reach the same result. And there are lots of open
questions in maths, some with a $1 million prize attached - it's obviously
hard for people to make discoveries in maths, or those prizes would have
been claimed long ago.

All of which implies that maths is something that is discovered, and indeed
could be discovered independently in different cultures, times, places -
and on different planets or in different universes.


> Unless you 'discover' within the human mind.
>

Well, yes, just like you will "discover" any concept within a mind, by
definition. (Or I guess within textbooks, in a codified form). The evidence
seems fairly strong that you will discover the same mathematical concepts
within ANY mind which looks into the subject, and has sufficient ingenuity
to work out the answers to various questions, because mathematical truths
appear to be universal (e.g. Pythagoras' theorem didn't only work for the
Ancient Greeks, 17 will always be prime, the square root of 2 will always
be irrational, etc). Only minds can appreciate these facts, just as only
minds can discover the law of universal gravitation.


> Your closing phrase "doesn't mean that it isn't inherently mathematical"
> is true as to the content it states. It also does not mean that it may not
> be anything else beyond.
>

Of course, there may always be something else beyond, even given a TOE we
can't be sure this isn't the case. (There is however no evidence whatsoever
to suggest that 1+1 will ever not equal 2.)

>
> It was a pleasure to follow your argumentation.
>

Likewise, although I'm not sure I followed all of it.

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