On Thursday, October 3, 2019 at 6:14:22 AM UTC-6, Bruno Marchal wrote:
>
>
> On 3 Oct 2019, at 12:12, Alan Grayson <[email protected] <javascript:>> 
> wrote:
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>
>
> On Thursday, October 3, 2019 at 3:39:26 AM UTC-6, Bruno Marchal wrote:
>>
>>
>> On 1 Oct 2019, at 20:29, John Clark <[email protected]> wrote:
>>
>> How Many Universes Are There? 
>> <https://www.youtube.com/watch?v=XglOw2_lozc>
>>
>>
>>
>> 0.
>>
>> Bruno
>>
>
> *You've turned Tegmark upside down, *
>
>
> That looks intersting, but I don’t know. Maybe you can elaborate. I 
> published my material well before Tegmark, and start from a very different 
> problem (the mind-body problem). 
> When Tegmark send me his Mathematical Hypothesis paper, I suggest him to 
> use the Mechanist hypothesis explicitly to clarify possible ambiguities. 
> What is common is the Mathematicalism, but Tegmark still miss the 
> psychologicalism, or the theologicalism needed to get physics from 
> arithmetic (and arithmetical self-reference).
>

>From what I've read from secondary sources, Tegmark believes that every 
mathematical equation has ontological status wrt SOME universe. So 
according to this pov, there are universes where gravity acts as an inverse 
cube, and all higher powers of inverse radius. You, OTOH, seem to affirm 
the view that there is only one "physical" universe, having no ontological 
status -- like the Matrix in the movie with that name. But quite aside from 
the ambiguity of what "ontological status" means, I don't see how you can 
deny those multitudes of other universes which surely seem "computable". AG 

>
>
>
> *on his head. But the same core fallacy remains. AG *
>
>
> Which one?
>

*The idea that "computable" implies ontological status, or even a perfect 
simulation of one, such as in the movie The Matrix. AG*

>
> I say 0 universe since my birth, not because it would be incompatible with 
> Mechanism (which it is), but because I have never seen any evidence for an 
> ontologically real universe.
>

What evidence could possibly exist as "evidence" for an ontologically real 
evidence? And if Mechanism just means the brain and nervous system can be 
replaced with computer chips, I don't see any connection between this 
hypothesis and the whether the externally appearing universe is "real". AG

I have no doubt that long and deep histories exists, but this requires only 
> assumption in arithmetic.
>
> Keep in mind that I give a theory (indeed a very simple one: Kxy = x, and 
> Sxyz = xz(yz). All the rest are definitions and theorem (made in that 
> theory).
>
> Well just to be sure, you need some inference rule, so the entire theory 
> is:
>
> RULES
>
> 1) If x = y and x = z, then y = z
> 2) If x = y then xz = yz
> 3) If x = y then zx = zy
>
> AXIOMS
>
> 4) Kxy = x
> 5) Sxyz = xz(yz)
>
> (See the combinators thread for an explicit proof that this is Turing 
> universal). 
>
> To be sure, I can use much more complicated theory, like the complete 
> first order predicate calculus + the axioms:
>
> 1) 0 ≠ s(x)
> 2) x ≠ y -> s(x) ≠ s(y)
> 3) x ≠ 0 -> Ey(x = s(y)) 
> 4) x+0 = x
> 5) x+s(y) = s(x+y)
> 6) x*0=0
> 7) x*s(y)=(x*y)+x
>
> … which as the same time is the one taught informally in high school.
>
> Bruno
>
>
>
>>
>>
>>
>> John K Clark
>>
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