>>yters+GI
There has been some philosophical speculating but that's generally not very actionable, with people clinging to either side of the question. On the practical side, it's the sort of thing which you can't just throw money at and make progress. Ok, you have $100mil to research whether human intelligence is computable. What do you do? Hire lots of humans and assign them noncomputable tasks and tap your foot waiting for one of them to turn out to be the next Oracle of Delphi? That's fantastic if one of them does, but if none of them do, then you've made zero progress: there's no way to know whether you failed because human intelligence is computable, or whether you failed because you chose the wrong tasks/humans.