Nelson claimed to have succeeded just now.
http://www.math.princeton.edu/~nelson/papers/outline.pdf
I hope consensus about this forms soon, so I can know what to do with the rest of my life. If only I had been born a few years later, I wouldn't be put into the position of worrying that my chosen career path is doomed and I must go build houses or something.
Update:
As per Michael's comment, the claim has been withdrawn.