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 <meeke...@verizon.net <mailto:meeke...@verizon.net>> 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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