On 21 Apr 2017, at 21:20, John Clark wrote:

On Fri, Apr 21, 2017 at 4:33 AM, Bruno Marchal <[email protected]> wrote:

​> ​Physical computation needs matter, because a physical computation is a mathematical computation implemented in a physical, material, environment. ​ ​But computations does not need matter,

​Suppose just for ​​the sake ​of argument that non-physical computations did not exist, how would our physical world be different?

It would like if the number 2 does not exist. Well, using the reversal, it would mean there is no physical universe possible at all.

Computation and "universal machine" are non physical notions, discovered independently by mathematicians working in the foundations of mathematics.

They are known, since long, to be arithmetical notions, even sigma_1 arithmetical notion.

We have some evidence that there is a physical reality which can implement computations, but that does not entail that the physical reality is primary. On the contrary, the fact that the physical reality can implement computations might suggest already that the physical reality might emerge from computations. Then computationalism show that this has to be the case. If some primary matter can select a computations, or select a set of computations, then, either it uses non computable elements, and we can no more say "yes" to the doctor (computationalism is false), or it does no use those non computable elements, but then the way that primary matter act will appears in the universal dovetailing or arithmetic.

Bruno


There would be no difference. Therefore either non-physical computations​ do not exist or they do but are utterly unimportant, rather like the ​luminiferous aether​.​

​> ​Mathematical computations exist in arithmetic, in the sense that they can be shown to exists in all interpretations of Robinson Arithmetic​ [...]

Oh no, we're back to Robinson Arithmetic​ again! It's time for you to put your money where your mouth is, it's time for you to start the ​Robinson​ Computer Corporation and become the richest man on earth. ​

​> ​Here you beg the question of materialism by defining "computation" by "physical implementation of a mathematical computation".

​Definitions suck. Examples rule.​

 ​>> ​So which ONE of us has "THE 1-p you"?
 ​> ​Both.

​If it can't distinguish anything then why the hell did you invent the idiotic term??​

 John K Clark


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http://iridia.ulb.ac.be/~marchal/



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