On 09 May 2012, at 02:36, Pierz wrote:
The problem is that physicists have not yet succeed in marrying QM
and GR, which is needed to get a quantum theory of space-time. You
can bet on strings or on loop gravity though, or on the Dewitt-
Wheeler equation, which, actually make physical time vanishing
completely from the big picture. It is an internal parameter only.
Yes, none of which I pretend to understand any more than any guy who
reads all the popular expositions of such theories. But it seems
highly dubious to me for Krauss to even present a theory that
pretends to explain something as fundamental as something from
nothing given the absence of a QM-GR unification. After all, as good
as QM and GR are at predicting stuff in their domains, we know that
neither is right! It's an overreach.
It is different for the UD. Its existence is a theorem in any theory
of everything, like this one:
classical logic +
0 ≠ s(x)
s(x) = s(y) -> x = y
x+0 = x
x+s(y) = s(x+y)
x*0=0
x*s(y)=(x*y)+x
or in this one:
Kxy = x
Sxyz = xz(yz)
Yeah OK fine, so maybe I'm one turtle too high! Let's just say
arithemetic then. Why does it exist? Because.
In this case, we can explain and prove that we cannot explain them
from less. You provably need some understanding of the numbers to get
them. Some people thought we can explain or derive natural numbers
from logic, but this has failed, and eventually we can use logic to
explain that no theory which does not assume the numbers (or something
equivalent) can derive the numbers.
To be sure, you can derive the numlbers from Kxy = x and Sxyz =
xz(yz), like you can derive the axiom of arithmetic (0≠s(x), ...)
from Kxy = x and Sxyz = xz(yz). They are equivalent (at some
ontological level).
This makes arithmetic (or Turing equivalent) a nice starting place. In
that case you can derive at least all dreams, and without them, you
can derive none of them.
So in that case, you are provably right. Why does number exists?
because ... if they don't exist you would not been able to ask that
question. And why do you ask?
Numbers are truly mysterious. Provably mysterious.
This is not entirely obvious. At first sight, it looks like numbers
are logical, but that intuition is false.
Bruno
PS. You might try to make better quotes.
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