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``Self reference'' by AxelBoldt on 2002-04-01 22:54:34
I think the proof glosses over the crucial part: How can Break refer to itself within Break's definition?

You need to use Goedel's trick somehow: first construct an algorithm B that stops if and only if its argument, interpreted as an algorithm, won't stop on its own description, and then feed the description of B to B itself.

Akin to the barber (B) who shaves everybody who doesn't shave himself. Ask whether B shaves B and it blows up.
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