> On 27 Jun 2021, at 01:41, Tomas Pales <[email protected]> wrote:
> 
> 
> 
> On Saturday, June 26, 2021 at 11:36:47 PM UTC+2 Brent wrote:
> 
> But presumably the laws are stable.  Why?  Because that's the way we want 
> them.  If they weren't stable (or even time invariant) we wouldn't call them 
> laws of physics.  They'd be initial conditions or historical accidents.
> 
> But why do stable laws exist in our universe and what is the guarantee that 
> they will continue to exist?


Because our universe emerge from the statistic on all computations 
(arithmetical object) going through our indexical state.

With Mechanism, physicalism cannot work, and physics is reduced to the 
“theology of the machine”,
The physical laws are stable because they have an arithmetical origin in the 
“head” of any universal+ machine (those which have the theology G*)

There is a widespread belief that Mechanism and Materialism fit well together, 
and indeed many materialist use Mechanism and the brain-mind identity thesis to 
… persist in hiding the mind-body problem under the rug. 

Now, I have already on this list explain why this is logically impossible, and 
the proof is constructive: it shows how to extract physics from that statistic 
on computations (infinitely many computations access any state when taken in 
the first person view):

The theology is the theory G1* (qG1*). You need G to define it. G is the 
provable part of the theology:

Axioms: 

(classical logic +
[](A -> B) -> ([]A -> []B)
[]([]A -> A) -> []A (Löb formula)
p -> []p for all p sentence letter (this restricts the arithmetical 
interpretation to the sigma_1 (partially computable) arithmetical sentences)

Rules: modus ponens + necessitation (you can infer []A from a proof of A).

Incompleteness (that you get here by putting “f” (the constant false) at the 
place of A in Löb’s formula, justify that although G* prouve the equivalence of 
all “Theaetetus” mode of knowledge, G, the machine itself proves none of those 
equivalence, and the physical laws are given by the material modes and the 
“soul”:

p (truth)
[]p (provable)
[]p & p (knowable, the soul)
[]p & <>t  (observable, intelligible matter)
[]p & <>t & p (sensible matter)

Here the box “[]” represent Gödel’s arithmetical provability predicate (and 
“<>” represents ~[]~).

Physics is derivable entirely from elementary arithmetic, or any Universal 
Turing system. The shorter one are the equation 

Kxy = x
Sxyz = xz(yz)

>From which you can derive the 5 modes above, and their mathematics.

G* proves p <-> []p <-> … (all modes above),

But G does not prove any of them, they belong to the true but non provable part 
of the theology (the proper theology, G* \ G).They obey different mathematics.

The splitting G* vs G makes possible to distinguish the quanta and the qualia. 
Both have been shown to obey different quantum logic. An intutionist quantum 
logic is also appearing with the knowable mode ([]p & p) (I was wrong on this 
in may original thesis).

So, there is no universe, but the appearance of a universe is a logical 
consequence of incompleteness, and the laws of physics will be stable … as long 
as 2+2=4.

I found in this way a “many-worlds”, or better a “many histories” 
interpretation of elementary arithmetic (or combinatory algebra, …).

Until now, Nature confirms. That is not the case for most physical laws when 
taken with the identity thesis, which somehow identify []p with []p & p at the 
G level, which is incorrect.

This shows also that the laws of physics are machine or theory independent. The 
ontology is given by any interpretation of the term of any Turing complete 
(Turing universal) theory.

I will send a summary I have just made (for Facebook!) of the theology of the 
universal machine. 

We get an arithmetical interpretation of neoplatonism, making Mechanism 
testable experimentally, and QM without collapse confirms both the 
many-histories aspect, and the quantum logical formalism … until now. 

Bruno





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