On 5 May 2014 08:42, John Mikes <jami...@gmail.com> wrote:

> In "my" agnostic vocabulary the 'real' includes lots of 'inconnues' that
> may change whatever we THINK is included  - as historic examples show.
> I still hold mathematics an exorbitant achievement of the  H U M A N  mind
>

What do you think of Max Tegmark's argument for "mathematical realism" -
that all the clues we have so far indicate that nature is inherently
mathematical, and that if we ever find a ToE, and it turns out to be "just
a bunch of equations", then there will be no reason to think the universe
is anything other than those equations - as he puts it, "how they look from
the inside" ?

Obviously this is speculative, of course, in that we don't have a ToE yet.
But everything we have learnt about reality so far does appear to indicate
it has (in some sense) a mathematical nature. If this trend continues and
we eventually discover a TOE, and it is mathematical, would you agree with
Max that maths isn't an invention of the human mind, but something we have
discovered about reality? (That it is even, perhaps, ALL that reality is?)


> The facts WE can calculate from Nature do not evidence a similar
> calculation how Nature arrived at them. (See the early (even recent???)
> explanatory errors in our sciences). We are nowhere to decipher Nature's
> analogue(?) ways (if *'analogue' *covers them all, what I would not
> suggest).
>

Relativity is analogue, quantum mechanics is (perhaps) digital. However,
assuming that nature is analogue - i.e., continuously differentiable -
doesn't mean that it isn't inherently mathematical.

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