On 17 Oct 2015, at 21:53, John Clark wrote:

On Sat, Oct 17, 2015 at 1:31 PM, Jason Resch <[email protected]> wrote:

​>​>>​ ​Of the 10^500 string theory physics, maybe 1 in a million or fewer are rich enough to support life.

​​>> ​If so then there are 10^494 universes ​rich enough to support life​, and there is a 100% probability that the universe I live in is one of them.​

​> ​Which implies a high probability that other universes, ruled by different laws, exist.

​Obviously, except of course the physical law that makes you conclude​ that there are 10^500 universes in the first place. So what's your point?

​>> ​​If physical objects like a calculator or your brain don't have access to numbers then you know nothing about numbers you only know about simulated numbers.

​> ​If the simulation is accurate, you gain accurate information about that which is simulated.

​A simulation is never 100% accurate,


This not correct. In Virtue of the digitalness, a simulation can be 100% accurate, notably when simulating a digital process. There is word for "100% accurate simulation", we call that an emulation. The models of RA emulates all computations. RA is obviously consistent, so it has at least one model, and PA can prove that RA is consistent.

You can emulate in algol a fortran computation of the factorial function. It will be 100 % accurate if there is no bug in your program.

All universal machine, in the non material sense of Church or Turing, Post, Kleene, etc. can emulate, simulate exactly all other universal machine, and the arithmetical reality (the standard model of arithmetic) do that.

This does not make possible to extract the computations result directly, as we live in a physical reality, and must implement the computations in the physical reality to get that effect. But that relative emulation of that process is emulated itself infinitely often in arithmetic. So, here you make a constant confusion of level when you come with the straw man argument that an arithmetical computation cannot be used relatively to our physical history. True, but that does not make the physical reality ontologically prior to the arithmetical reality. The physical reality can still, and has to (by the UD Argument), emerges from all computations going through our actual state in arithmetic.



if they were absolutely identical there would be no point in doing it because we already have the real one. I think that when a physical object like your brain adds 2 and 2 it's not a simulation at all and the 4 it produces is as real as integers get and ​is exactly precisely 4. But you think it's just simulation so all you know is that simulated 2​ and simulated 2 is approximately 4, but its exact value depends on how good the simulation is.

​> ​​If physical objects like a calculator or your brain do have access to actual non-simulated numbers and if numbers are all that's required to make a calculation then physical object should be able to make arbitrarily large calculations instantly with no expenditure of energy.

​> ​Right that's the problem. The computations and their results exist out there already. But they don't interact with the atoms of our universe.

​They don't interact with the atoms of our universe​?! Why the hell not, according to you those very atoms are made of nothing but numbers! ​

​>​>> ​For us to arrange atoms in a way that corresponds to these computations or results, we need to build physical simulations of those computations.

 ​>> ​So why can't you?

​> ​What kind of mechanism are you proposing is possible to cause atoms to arrange themselves into the final result of a long running calculation?

​You tell me. ​You're the one who insists that numbers pull the strings on everything that happens in the physical world not me.

​>​>>​ ​you should by extension believe that P(P(P(P( ... (s_1) ...)))) = s_n independently of you, me,

​>> ​Those are some very nice ASCII characters you've typed there, but the truth is ​I don't care if it's independent of you or not because "​P(P(P(P( ... (s_1) ...)))) = s_n" can't make a calculation nor can any sequence of ASCII characters, but a silicon microprocessor can.

​> ​You are conflating a computation with a physical approximation/simulation

​OK, your physical brain has run a ​approximation/simulation of 2 + 2 so now you know the answer is approximately 4, but it could be 3.9 or 4.1.

​> ​of that computation.

"​P(P(P(P( ... (s_1) ...)))) = s_n"​ can't perform a calculation or a simulation or even an approximation because ​"​P(P(P(P( ... (s_1) ...)))) = s_n"​ is just a sequence of ASCII characters. ​ ​But a physical microprocessor can do all of those things.​

​> ​I give up.

​OK.​

 ​> ​You clearly aren't interested in learning.

​I'm always willing to learn, but only from those who have something true and interesting to teach.

You confess having not read the works, and you have not succeeded in explaining why you stop in the early kindergarden stage, so, this is gratuitously negative.

You involve yourself into an ontological commitment (that is religion) about the existence of some mysterious non Turing emulable , nor FPI recoverable, primary matter (never assumed primary even by the applied physicists), and you defined a computation by a primary physical implementation of a computation. This is obviously as much circular than vague. So you do non-rigorous philosophy to pretext not studying a precise formulation of a problem and its possible solution.

I am afraid that your position is just hopeless. You proceed like a creationist, and indeed starting from assuming a primary physical universe is equivalent with explaining the origin of its appearance by "God made it".

I did not ever dreamed about someone confirming so well that strong non-agnostic materialist atheism belong to fundamentalist religion. You seem to avoid any thinking able to scratch your dogma. Well, humans do that often. Thank you at least for making *this* point so clearly. You were not the first, of course.

Bruno






 John K Clark


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