On Aug 31, 9:40 pm, Bruno Marchal <marc....domain.name.hidden> wrote:
>
> Only a meta-theory *about* PA, can distinguish PA and arithmetical
> truth. But then Godel showed that sometimes a meta-theory can be
> translated in or by the theory/machine.
But is the meta-theory *about* PA, itself classified as either PA or
'Arithmetical truth' ? The meta-theory itself (when enacted as a
computation) cannot be classified as either, it seems to me. So it
appears there's a third category which is neither arithmetic
(descriptions) nor Arithemetic (platonic truth). And recognizing this
third category is the solution to the puzzle of reflection OK!
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Received on Fri Aug 31 2007 - 06:49:11 PDT