Originally Posted By: Orac
How do you know .. unless you try


I’ve been trying it for nearly 3 ½ years, and it’s getting worse.

Originally Posted By: Wiki
An alternate form of (2) – the machine successively prints all n of the digits on its tape, halting after printing the nth – emphasizes Minsky's observation: (3) That by use of a Turing machine, a finite definition – in the form of the machine's table – is being used to define what is a potentially-infinite string of decimal digits.


Not within a country mile.

We are back to mathematical infinities and their approximations.

“Can computable numbers be used instead of the reals?”

I am not a mathematician, but I see no reason why they should not be. On the other hand I would think that any advantage gained from so doing would be limited to very specific circumstances. This said, I should add that the only type of infinity that this would relate to would be mathematical.

Quote:
In the real universe with this backdrop pi or an irrational causes just as many problems as infinity something you hadn't seemed to yet work out.



What problems? The only problems with infinity arise because some people are unable, or unwilling, to acknowledge that mathematical infinities are approximations, and that there must be an infinity to which they approximate.

There never was nothing.