On Sat, Oct 10, 2015  Jason Resch <[email protected]> wrote:

​> ​
> If you believe Pi contains wikipedia,
>

I have a hunch that Pi contains Wikipedia, but I know that
​ ​
Champernowne's number does, but it also has the Incorrect Wikipedia that is
just as large as the regular Wikipedia but every single fact in it is
wrong. Champernowne's number doesn't say which one is right and which one
is wrong, to determine that you'd need computation and Champernowne's
number doesn't do computation, matter that obeys the laws of physics does.

​> ​
> you should also believe there are Turing machines whose execution outputs
> Wikipedia to its tape.
> ​ ​
> Neither Pi, nor this Turing's machine tape will spontaneously appear on
> your computer screen.
>

​I think that is probably true, if so then that is a *SEVERE* limitation on
what Turing machines are capable of doing. And on the Turing machine's tape
there is also a section that contains only incorrect and contradictory
information, and you'd need matter that obeys the laws of physics to
compute the difference between the correct and the incorrect.


> ​> ​
> For that to happen, you need to rig up a bunch of atoms to behave in the
> same way as a Turing machine that computes Pi, or a Turing machine that
> outputs wikipedia.
>

​Yes, ​and it is easy to understand why that is if physics is more
fundamental than mathematics, but not if the reverse is true, then it would
be a great mystery.


> ​> ​
> Mathematical objects, like other physical universes, don't affect the
> evolution of physics in this universe,
>

​But if mathematics was ​
more fundamental than physics  they most certainly should!


> ​> ​
> at least not unless we choose to simulate those mathematical objects
>

​Simulated mathematical objects? So nobody knows how much 2+ 2 is, all we
know is that simulated 2 plus simulated 2 is simulated 4, but real 2 plus
real 2 is unknown. That doesn't smell right to me.  ​Does it to you?

​> ​
> I have a feeling you might learn a lot more if you weren't always so
> certain that you are right.
>

​I am often certain, and occasionally I'm correct too​.

​  John K Clark​

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