"No nonsense, just finite sense. What is this with verification that a
machine doesn't halt? One can't do it, so what is the problem?"

The idea would be (if Mike is really willing to go that far): "It
makes sense to say that a given Turing machine DOES halt; I know what
that means. But to say that one DOESN'T halt? How can I make sense of
that? Either a given machine has halted, or it has not halted yet. But
to say that it never halts requires infinity, a nonsensical concept."

An AI that only understood computable concepts would agree with the
above. What I am saying is that such a view is... inhuman.

On Tue, Jun 17, 2008 at 1:29 PM, Vladimir Nesov <[EMAIL PROTECTED]> wrote:
> On Tue, Jun 17, 2008 at 9:10 PM, Abram Demski <[EMAIL PROTECTED]> wrote:
>> Mike A.:
>>
>> Well, if you're convinced that infinity and the uncomputable are
>> imaginary things, then you've got a self-consistent view that I can't
>> directly argue against. But are you really willing to say that
>> seemingly understandable notions such as the problem of deciding
>> whether a given Turing machine will eventually halt are nonsense,
>> simply because we would need infinite time to verify that one doesn't
>> halt?
>>
>
> Every thing that you understand is "imaginary", your understanding
> itself is an image in your mind, which could get there reflecting
> reality, through limited number of steps (or so physicists keep
> telling), or could be generated by overly vivid finite imagination.
>
> No nonsense, just finite sense. What is this with verification that a
> machine doesn't halt? One can't do it, so what is the problem?
>
> --
> Vladimir Nesov
> [EMAIL PROTECTED]
>
>
> -------------------------------------------
> agi
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