> On 24 Jun 2018, at 11:35, Russell Standish <[email protected]> wrote:
> 
> On Fri, Jun 22, 2018 at 04:30:54PM -0400, John Clark wrote:
>> On Thu, Jun 21, 2018 at 5:09 PM, Jason Resch <[email protected]> wrote:
>> 
>> ​>* ​*
>>> *The only thing I am asking is:*
>>> *1) Physics -> Brains, Cars, Atoms, Etc.*
>>> *2) ??? -> Physics -> Brains, Cars, Atoms, Etc.*
>>> *Do we have enough information to decide between the above two theories?
>>> Have we really ruled out anything sitting below physics?*
>>> 
>> 
>> If I define physics as the thing that can tell the difference between a
>> correct computation and a incorrect computation and between a corrupted
>> memory and a uncorrupted memory, and as long as we're at this philosophic
>> meta level that's not a  b ad definition, then I don't think anything
>> is below physics.
> 
> If you define physics that way, then you are using the term
> differently to Bruno, for whom physics is very definitely
> phenomenology - tables, chairs, billiard balls, electrons and such.
> 
> I made a somewhat similar point to Bruno, when I asked why his
> platonic arithmetic could be considered ur-stuff (which I defined to
> be pretty much how you define physics above). His retort was that
> integers weren't stuff - but I think that is somewhat of a lost in
> translation moment. The French word etouffe

Etoffe. 



> basically means material,
> and in English stuff used to mean the same, but in more recent times has
> taken on a placeholder function, a generic collection of "things".
> 
> The real point is that with computationalism (in particular the CT
> thesis), it doesn't matter what the computers are made of (ie what the
> ur-stuff really is), phenomenal physics will be the same, a
> consequence of what is computible.

So the ur stuff is given by 0, s(0), …, but it is not suff at all. It is not 
material, and eventually “matter” is a vague term referring to the prediction 
we can make, taking into account that no machine/number can localise itself in 
one computations, but only an infinity of them and this phenomenologically (as 
there is no infinities in arithmetic).



> 
> One mystery does remain though - why don't we see things like Hilbert
> hotel computers? It is a somewhat hidden assumption of
> computationalism that such things don't exist.

Only 0, s(0), s(s(0) … are existing. You need an axiom of infinity to have a 
Hilbert Hostel.

My axioms are only classical logic + Kxy = x and Sxyz = xz(yz).

Bruno





> 
> 
>> 
>> 
>>> ​>>​
>>>> Then why is brain damage a big deal? Why do I need my brain to think?
>>>> 
>>> 
>>> ​>* ​*
>>> *The base computations that implement your brain may be sub-routines of a
>>> larger computation,*
>>> 
>> 
>> If true then that is an example of something physics can do but mathematics
>> can not. And I have to say that is a mighty damn important sub-routine!
>> 
>>> ​>>​
>>>> Without physics 2+2=3 would work just as well as 2+2=4 and insisting the
>>>> answer is 4 would just be an arbitrary convention of no more profundity
>>>> than the rules that tell us when to say "who" and when to say "whom".
>>>> 
>>>> ​> ​
>>> *For any computation to make sense, you need to be working under some
>>> definitions of integers and relations between them. *
>>> 
>> 
>> ​Definitions are made for our convenience, they do not create physical
>> objects. And there are an infinite number of ways integers and
>> the relations between them could have been defined, so why did
>> mathematicians pick the specific definition that they did? Because that's
>> the only one that conforms with the physical world, and thats why
>> mathematics is the best language to describe physics.
>> 
>> 
>>> * ​> ​Without that, you can't even define what a Turing machine or what a
>>> computation is.*
>>> 
>> 
>> ​I don't need to describe either one because I've got something much much
>> better than definitions, examples.​
>> 
>> *​>​I can imagine a computation without a physical universe. *
>>> 
>> 
>> ​I can't.​
>> 
>> 
>> ​>* ​*
>>> *I can't imagine a computation without some form of arithmetical law.*
>>> 
>> 
>> ​I can. A Turing Machine will just keep on doing what its doing regardless
>> of the English words or mathematical equations you use to describe its
>> operation.
>> 
>>> ​>>​
>>>> As far as simulation is concerned in some circumstances we could figure
>>>> out that we live in a virtual reality, assuming the computer that is
>>>> simulating us does not have finite capacity we might devise experiments
>>>> that stretch it to its limits and we'd start to see glitches. Or the
>>>> beings doing the simulating could simply tell us, as they have complete
>>>> control over everything in our world so they would certainly be able
>>>> to convince us they’re telling the truth.
>>>> 
>>>> 
>>> ​>​
>>> T
>>> *hey could convince us something strange is going on, but they couldn't
>>> convince us they weren't lying about whatever they might be telling us
>>> about the architecture that is running the simulation.​ ​This follows
>>> directly from the Church-Turing thesis. The Church-Turing thesis says any
>>> program or Turing Machine can be executed/emulated by any computer.
>>> Therefore, no program or machine can determine whether it is being computed
>>> by or emulated by any particular Turing machine vs. any other that might be
>>> emulating it.*
>>> 
>> 
>> ​OK, they could prove they're simulating us but they couldn't prove the
>> logical hardware architecture of their machine worked the way they said it
>> did, however in some circumstances they could provide some pretty
>> compelling evidence that they were telling the truth. For example suppose
>> they found out how to solve all non-deterministic polynomial time problems
>> in polynomial time and that's how they were able to make a computer
>> powerful enough to simulate our universe. And they said they themselves
>> were being simulated and their simulators told them how to do this and now
>> they are passing the secret on to us. We try it and pretty soon we have
>> made our own simulated universe with intelligent, and presumably conscious,
>> beings in it. After that I’d tend to believe what they said.
>> 
>> ​>>​
>>>> It was discovered more than 30 years ago that if Quarks didn't exist
>>>> inside protons then high speed electrons would scatter off protons
>>>> differently than the way they are observed to scatter. If you assume Quarks
>>>> don't exist then there are consequences, those high speed electrons will
>>>> behave in ways that surprise you. In other words physics told you that your
>>>> assumption was incorrect.
>>>> 
>>> 
>>> *​>​Okay. So you do accept relations between mathematical objects can
>>> support your consciousness?*
>>> 
>> 
>> ​A mathematical object is just something that has been defined in the
>> language of mathematics, J K Rowling defined Hogwarts Castle in the
>> language of English but that doesn't mean either of them must exist. There
>> are an infinite number of ways mathematicians could have defined a quark
>> but they picked the one that physics told them to, the one that scattered
>> electrons the way we see in experiments.
>> 
>> 
>>> ​>
>>> *Integers (let's go by normal definitions of 0, 1, 2, etc.) have
>>> properties.*
>>> 
>> People invented numbers thousands of years ago to count things, if the laws
>> of physics were different and physical objects spontaneously duplicated
>> themselves and spontaneously disappeared our "normal definition" of
>> integers would be very different from what we have now.
>> 
>>> 
>>> ​> ​
>>> *We can't arbitrarily say "2+2=5", this is playing with strings, not
>>> integers.*
>>> 
>> ​
>> We can't be arbitrary if we don't want a conflict between mathematics and
>> physics, but if you take out physics then play away, you can let 2+2
>> be anything you want and there are no consequences.
>> ​
>> 
>> ​>​
>>> * Would you say that mathematics imposes "meta laws" which must be true
>>> across all possible/imaginable universes?*
>>> 
>> 
>> Yes I think so, but the meta laws would be physical not mathematical. If
>> we're very lucky we might be able to describe those meta laws
>> mathematically (although almost certainly not with the mathematics we have
>> now)  but I don't think there is any chance of a pure mathematician ever
>> finding them, we're going to need physical experiments to give us some
>> hints and I just hope that doesn't require a particle accelerator the size
>> of the galaxy.
>> 
>> 
>>> ​>*​*
>>> * It is physically impossible to arrange 7 stones into a rectangle*
>>> 
>> 
>> ​If there were not 7 stones or 7 of anything in the entire physical
>> universe the entire concept of "7" would be meaningless. ​
>> 
>> 
>> 
>>> ​>​
>>> * It is physically impossible to move your pencil over a piece of paper
>>> such that it writes a valid proof that 7 has more than 2 integer factors >
>>> 0*
>>> 
>> 
>> Yes, it is a physical law that the physical act described above would be
>> physically impossible because there are at least 7 physical things in the
>> physical universe so “7” means something.
>> 
>> 
>>> ​>* ​*
>>> *It is an impossible experience to see 7 stones arranged into a rectangle
>>> (as defined above)*
>>> 
>> 
>> ​I'm less sure about that, I've never taken it but with enough LSD I might
>> be able to experience it.​
>> 
>> 
>> ​John K Clark​
>> 
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> -- 
> 
> ----------------------------------------------------------------------------
> Dr Russell Standish                    Phone 0425 253119 (mobile)
> Principal, High Performance Coders
> Visiting Senior Research Fellow        [email protected]
> Economics, Kingston University         http://www.hpcoders.com.au
> ----------------------------------------------------------------------------
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