A random sequence is one that cannot be algorithmically compressed : the shortest description of a random sequence is simply the sequence itself.
Gregory ChaitinBut if we play it safe, the problem is that we may be losing out, and I believe we are.
Gregory ChaitinBertrand Russell started off as a mathematician and then degenerated into a philosopher and finally into a humanist; he went downhill rapidly!
Gregory ChaitinI think logicians hate my work, they detest it! And I'm like pornography, I'm sort of an unmentionable subject in the world of logic, because my results are so disgusting!
Gregory ChaitinSo in the end it wasn't Gรถdel, it wasn't Turing, and it wasn't my results that are making mathematics go into an experimental mathematics direction, in a quasi-empirical direction. The reason why mathematicians are changing their working habits is the computer. I think that this is an excellent joke!
Gregory Chaitin