Working with the set of real numbers

Chris Angelico rosuav at gmail.com
Fri Feb 14 01:44:31 EST 2014


On Fri, Feb 14, 2014 at 5:37 PM, Gregory Ewing
<greg.ewing at canterbury.ac.nz> wrote:
> Chris Angelico wrote:
>>
>> Even adding to your requirements that it have an ℵ₁ Hz bus (which, by
>> the way, I *totally* want - the uses are endless), it would take a
>>
>> finite amount of time to assign to x the "next number", ergo your
>> algorithm can't guarantee to finish in finite time.
>
>
> If it's a quantum computer, it may be able to execute
> all branches of the iteration in parallel. But it
> would only have a probability of returning the right
> answer (in other cases it would kill your cat).

Oh, that's fine, he's not my cat anyway. Go ahead, build it.

ChrisA



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