On 29 Sep 2015, at 23:51, John Clark wrote:

snip

And that my friends is exactly why examples are so superior to definitions, it avoids the absurd "define that word" endless loop that people always use when they're losing a debate.

So by asking example when I give a definition, and asking a efinition when I give example is just to win the debate, and not to progress in understanding.



​> ​The problem is that you give the impression that you believe that computation does not exist in, or be emulated by, arithmetic.

​I'm sorry if I only gave a vague impression of that so let me say as flatly and directly as I can that as of today there is ZERO evidence that arithmetic can calculate anything without the help of physics;

Because you use the term computation in the sense of Church-Turing. They do not assume anything physical to define computation.





that situation could change tomorrow but that's how things are right now. ​

​> ​I exploit the fact that sigma_1 complete provability is equivalent with universal computability.

​Mathematical objects may or may not exist independently of physics, but mathematics proofs certainly do not; proofs are just a way humans have of discovering (or maybe inventing) those mathematical objects. ​

I use "prove" in the purely mathematical sense of Gödel.




​> ​Saying that there is a physical universe doing that is no better than saying God made it.

Saying that there is a ​mathematical universe ​is no better than saying there is a physical universe​.

I say only that 0+ x = 0, and things like that. I define computation and proof without assuming more. Then I explain why the immaterial machine develop beliefs in matter, and why the math shows that such matter obey quantum logic, and how to derive physics.

Bruno




And the physical universe at the time of the Big Bang was far simpler that the universe is today, and was infinitely simpler than a omnipotent omniscient God. Bruno you're a logician so you tell me, if two logical systems produce the exact same conclusions but one starts out with fewer and simpler axioms than the other which one is superior? I think William of Ockham​ made a pretty good razor, there is no point in adding wheels withing wheels if they're not needed. ​

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



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