I have found a new mathematical proof about the irrationality of sqrt(2). I have put it here:
http://protokol2020.wordpress.com/2013/06/01/had-there-been-two-naturals-a-and-d/
Now I am watching how the system will swallow it. Accept it or reject it. Or ignore it.
FYI, I have definitely seen that proof before, although I can't recall where.
John Baez has been writing, here and here, about problems with the academic journal system and a tool that might be a step towards fixing them: