I have been programming computers since I was 5 years old. I have a MS in neuroscience, and I am a board certified radiologist, so I think I'm qualified to understand the problem.
Believe it or not, nothing would make me happier than a magical black box that could spit out accurate radiology reports. Someday I'm going to get sick, and I would benefit from the technology.
If my job was replaced tomorrow I would be OK. I'm smart and hard working, and I'm good at almost everything I try, eventually. Also, I'm saving every last penny I earn, so I can keep things up for a few more years I should be financially secure.
Having said all that, I still think the problem is not solvable. On any given day I read xrays, CT scans, MRIs, ultrasounds, PET scans, mammograms, nuclear medicine studies, or live flouroscopic studies, and using CT or ultrasound guidance I can get a needle into just about any part of your body to take a biopsy. Doctors talk to me and our discussion influences the differential diagnosis, and the interventions planned. I am not just matching patterns, I am thinking and using my hard worn judgement.
Wishful thinking aside, computers cannot do this now, if ever. And if / when we reach the point that computers can do this, my guess is every other job will have fallen, with the exception of plumbing.