not sure about hypercomputation but Godel did try to prove that humans had intuition something that would allow them to somehow go beyond the limitation of his

not sure about hypercomputation but Godel did try to prove that humans had intuition something that would allow them to somehow go beyond the limitation of his incompleteness theorem. Of course he did go crazy thinking about all this and he never did finish his proof about intuition. I personally don't believe it's possible. Humans are as limited as machines.