Dear Ken,
I'm yet again very impressed with Freddie. I would be super impressed had he exampled a root 2 triangle. But hey, not even Plato took that one on directly.
Cheers
Keith
> On 6 Dec 2013, at 7:12 pm, "Ken Friedman" <[log in to unmask]> wrote:
>
> There is a fourth criterion, essentially a negative criterion. This involves contributions that are original and independent to us even though they are not original contributions to the field. Imagine, for example, that my dog Freddy were to walk up to me one day at the beach and use his paws to demonstrate the Pythagorean Theorem in the wet sand. Now let’s say that Freddy wants to make sure that I know he knows what he is doing, so he draws both the right-angle triangle, and the well-known diagram with boxes containing 9, 16, and 25 squares. Then, just to be safe, let’s say that Freddy offers yet another visual proof. Being a dog who lives at home, I know he hasn’t been studying math and we certainly have not taught him. And because he hasn’t been to school, he is not literate, so he doesn’t use the algebraic version – a (squared) + b (squared) = c (squared). It’s clear that he has only been thinking deeply about something to develop an important formula on his own. This would be a massive act of original thinking in a dog, and a demonstration of deep, independent intelligence. But it would not be an original contribution to the knowledge of any field.
>
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