You argue that because it is impossible for an algorithm to do some tasks perfectly, and humans can do "quite a decent job at these tasks," thus human minds are doing something beyond computation. Firstly this just doesn't logically follow. Perfection is completely different from "okay." Secondly it's far from clear that humans do any better than machines on many of these tasks, which would imply the opposite according to your argument.

Your greater than mere computation mind can makes huge bucks solving any problem since it can see if a program halts. Lets factor out some large primes and crack RSA. Just make a program that would halt if the answer is less than a certain value, then do binary search. A bit tedious, but surely huge piles of money are motivating. I'd do it myself but my mind seems to be malfunctioning.

Basically this is just a silly claim which is a shame because the first half of your response was pretty good.