OK, so that would require that all programs would
be simultaneously 'available' for inspection for a measure to be defined
over them, no? "When" can that occur? Never! A non-halting program can not
be polled for a solution.


On Mon, May 13, 2013 at 9:32 PM, meekerdb <[email protected]> wrote:

>  Right.  It's not computing all possible functions, it's executing all
> possible programs - most of which don't terminate and so don't compute a
> function at all.
>
> Brent
>
>
> On 5/13/2013 3:30 PM, Stephen Paul King wrote:
>
> So all possible functions are computed equally? ISTM that some functions
> would take an eternity to compute and that the number of such vastly
> outnumber the recursively enumerable ones.
>
>
> On Mon, May 13, 2013 at 6:24 PM, meekerdb <[email protected]> wrote:
>
>> On 5/13/2013 2:49 PM, Stephen Paul King wrote:
>>
>>> Does the UD compute *all* functions or only those that are recursively
>>> enumerable?
>>>
>>
>>  It computes all of them.
>>
>> Brent
>>
>>
>>  AFAIK, the latter, as a set, has a measure zero as a subset of the
>>> former. This is one reason why I worry about the viability of UDA (and
>>> AUDA), it postulates a severely restricted subset of the possible functions
>>> as ontologically primitive without a good argument as to why.
>>> Just because we finite mortals can only counts in terms of natural
>>> numbers is not an argument that All-that-Exists is limited to that
>>> standard. Man is NOT the measure of all things!
>>>
>>
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