On 7/25/2018 11:54 PM, Bruno Marchal wrote:
On 25 Jul 2018, at 16:36, Jason Resch <[email protected]
<mailto:[email protected]>> wrote:
On Tue, Jul 24, 2018 at 10:47 PM, Brent Meeker <[email protected]
<mailto:[email protected]>> wrote:
On 7/24/2018 7:02 PM, Jason Resch wrote:
On Tue, Jul 24, 2018 at 7:47 PM, Brent Meeker
<[email protected] <mailto:[email protected]>> wrote:
On 7/24/2018 7:12 AM, Jason Resch wrote:
On Mon, Jul 23, 2018, 10:44 PM Brent Meeker
<[email protected] <mailto:[email protected]>> wrote:
On 7/23/2018 8:40 PM, Jason Resch wrote:
> Other mathematics might work, but this seems to be
the absolute
> simplest and with the least assumptions. It comes
from pure
> mathematical truth concerning integers. You don't
need set theory, or
> reals, or machines with infinite tapes. You just need
a single
> equation, which needs math no more advanced than
whats taught in
> elementary school. I can't imagine a TOE that could
assume less.
It might be interesting except that it executes all
possible
algorithms. Another instance of proving too much.
Now if you would find the diophantine equations that
compute this world
and only this world that would be something.
Well for you to have a valid doubt regarding the everything
predicted to exist by all computations, you would need to
show why you expect each individual being within that
everything should also be able to see everything.
So if I tell you everything described in every novel ever
written really happened, but on a different planets (many
also called "Earth") you couldn't doubt that unless you
could show that you should have been able to see all those
novels play out.
If a theory predicts that everything exists, and also explains
why you shouldn't expect to see everything even though
everything exists, then you can't use your inability to see
everything that exists as a criticism of the theory.
However, I can use the incoherence of "everything exists" to
reject it.
You could, but Robinson arithmetic is fairly coherent, in my opinion.
Indeed. Robinso Arithmetic, or Shoenfinkel-Curry combinator theory
proves the existence of a quantum universal dovetailer. Of course that
does not solve the mind-body problem, we have still to extract it from
self-reference to distinguish qualia and quanta.
What does that have to do with "everything exists", which is not only
incoherent, but it is empirically false? There is this myth that
"everything exists" or "everything happens" is a consequence of quantum
mechanics and it therefore proved by physics. But quantum mechanics
predicts probability(x)=0 for many values of x, c.f. arXiv:0702121
Brent
If some people are interested, I can show how the two axioms Kxy = x
and Sxyz (+ few legality axioms and rules, but without classical logic
(unlike Robison arithmetic) gives a Turing complete theory. I have all
this fresh in my head because I have just finished a thorough course
on this. Combinators are also interesting to explain what is a
computation and for differentiating different sorts of computation,
including already sort of “physical computation”. Yet it would be
treachery to use this directly. To distinguish 3p and 1p, and 3-1
quanta with 1-p qualia, we need to extract them from Löb’s formula,
and use Löbian combinators. I will probably type a summary here.
Bruno
Jason
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