On 19 May 2014 07:37, Craig Weinberg <[email protected]> wrote:

>
>
>> You did not provide evidence that they cannot do that.
>>
>
> His evidence was the negative answer to Hilbert's 10th problem.
>
> To be exact, it's claimed to be *how he arrived at* that answer. The
extract says that he arrived at a proof that "no algorithm could have
found". How did he find it? The paper is far too high powered for my little
brain, so I am hoping for an answer for dummies. Did he decide that the
answer might have some particular form using intuition, say, tried it, and
found it worked? How did he (or anyone) then show there was no algorithm
for finding it?

(This is reminiscent of "The Emperor's New Mind", which IIRC attempts to
prove that some gifted mathematicians are not machines!)

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