On Tuesday, December 8, 2020 at 8:01:30 AM UTC-6 Bruno Marchal wrote:

> On 27 Nov 2020, at 15:00, Lawrence Crowell <[email protected]> 
> wrote:
>
> This is a part of what I said earlier. Think of this with Bayesian 
> statistics with P(A∩B ) = p(A|B)p(B) = p(B|A)p(A). 
>
>
>
> What are A and B. What is the probability space? (OMEGA). I am not sure 
> what are your assumption. It seems that you assume some probability theory.
>
>
>
A and B just stand for events or outcomes. 

Bayes theorem is really similar to Boolean logic, but where instead of 0 
and 1 there are probabilities with a measure in between these two Boolean 
limits. It really is a generalization of standard logic, and as such embeds 
the theorems that apply to such. That is a bold unproven statement on my 
behalf, but it at least makes sense.

LC
 

>
>
> With an excluded middle with  A∩B = Ø we can only conclude that p(A|B) = 
> p(B|A) = 0 and so these correspond to situation with absolutely zero prior 
> or posterior probabilities. So if some state of affairs is contradictory, 
> then they have zero probability.
>
>
> With Mechanism, we assume much less than a probability theory, and 
> eventually, we derive a probability calculus, but this happens only in the 
> derivation of the physical structure/logic/law from elementary arithmetic, 
> as we need to do when we assume that consciousness is invariant for a 
> functional substitution at some level (of description of the body/brain).
>
>
>
>
>
> In quantum logic we can think of this according to destructive 
> interference, so there are physical states that cannot exist by destructive 
> interference.
>
>
> That seems interesting, but the quantum structure has to be explained by 
> the statistics on *all* computations (a very solid concept when we assume 
> the Church-Turing thesis, which is a very strong hypothesis in math and 
> philosophy/theology/metaphysics.
>
> With mechanism, we explain the appearance of a physical reality by a 
> measure on all computations as seen from inside, which has been the hard 
> thing to define until I realised that the greeks not only get the 
> solutions, but actually got the unique set of solutions provided by the 
> universal+ Turing machine (universal+ = Gödel-Löbian = “believing in enough 
> induction axioms (like PA)” = "universal and knowing it”.
>
> The mechanist explanation requires us to NOT invoke any ontological 
> commitment (neither a personal god, but also no impersonal god or ontology, 
> except what is needed to define a universal machine, which is only 
> elementary arithmetic, or Turing equivalent (what I called often “universal 
> machinery”, which are the enumeration of programs in some universal 
> programming language, or just the numbers with assiteion and multiplication.
>
> The advantage is that this gives a theory of qualia and quanta, and thanks 
> to the quanta, we can compare it with Nature, and thus refute (or just 
> confirm) Mechanism. We find a quantum structure, and up to now, it fits 
> with observation, unless we speculate on some wave reduction in nature.
>
> When we do physics, we can assume, or not, some physical universe. When 
> doing metaphysics with the scientific method, at some point we have to be 
> very clear about what is assumed, and what is not assumed and instead 
> derived. With Mechanism, elementary arithmetic is all what is assumed, 
> beside the consciousness invariance at the meta-level. 
>
> Bruno
>
>
>
>
> LC
>
> On Friday, November 27, 2020 at 4:14:05 AM UTC-6 Bruno Marchal wrote:
>
>>
>> On 26 Nov 2020, at 18:57, Mindey I. <[email protected]> wrote:
>>
>> Curiously, I found the Everything List, because I wanted to to create a 
>> "A Universe Where Everything Can Exist" ( https://mindey.com/world.pdf 
>> ), which the Google search of 2007 returned me to my search query "How to 
>> create a universe, where everything can exist?”
>>
>>
>> What do you mean? 
>>
>> In such a universe there would be circle with four sides?
>>
>> The word" thing” needs a presentation or representation in some theory of 
>>  “thing".
>>
>> I urge people to study a bit of mathematical logic which explains all 
>> this.
>>
>>
>>
>> So, suppose that we create a universe, where everything exists, -- would 
>> that universe be a superset of all possible universes, or, just the same 
>> set?
>>
>>
>>
>> ”everything” is too much ambiguous without a theory of the things which 
>> are assumed. 
>>
>> All notions of whole, are limited when made precise enough, or are 
>> inconsistent. The term “universe” is as bad as the term “god” when used out 
>> of an hypothetical frame. 
>>
>> Today, we can approximate string notion of everything is classical set 
>> theory, but like in arithmetic, you will always miss the big whole. The 
>> collection of all set cannot be a set. The number of numbers cannot be a 
>> number, the whole physical reality cannot be a physical object … Now, this 
>> can be doubted if you use a special set theory allowing universal object, 
>> like Quine's New Foundation, but this does not prevent other type of 
>> limitations.
>>
>> Bruno
>>
>>
>>
>>
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