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Sep 3, 2016 at 17:25 comment added Doxosophoi Yeah, I'm not saying they're they same thing. But it is the set of irrationals, within real numbers, not rationals, that suggest some hyper Turing possibility.
Sep 3, 2016 at 17:21 comment added Doxosophoi I just read those two referenced pages. I see no argument that a neural net with just rational weights is hyper Turing.
Sep 3, 2016 at 17:15 comment added Doxosophoi Something must have got lost in translation. This is from a paper on alanturing.net: In the special case where all the interconnection weights are rational, each such network is equivalent to a Turing machine (Siegelmann and Sontag 1992). If the connection matrix contains at least one irrational weight, the processor network can compute non Turing-machine-computable functions, even in polynomial time. p29, BEYOND THE UNIVERSAL TURING MACHINE
Sep 3, 2016 at 16:34 comment added Doxosophoi Do you have a link? Not behind a paywall?
Sep 3, 2016 at 1:47 history answered Doxosophoi CC BY-SA 3.0