You’re making the contradictory claims that human intelligence is incomputable and AI is limited something computable (all by a certain definition of computable

You’re making the contradictory claims that human intelligence is incomputable and AI is limited something computable (all by a certain definition of computable). You need to at least try to propose something that explains the premise and the contradiction. Does human intelligence arise out of processes within the human brain? If not, then how else? If yes, then why are those processes somehow out of reach of human science to investigate and manipulate? How can intentional human actions be limited to a certain definition of computability while human intelligence is not?