bentarm comments on When does an insight count as evidence? - Less Wrong
You are viewing a comment permalink. View the original post to see all comments and the full post content.
You are viewing a comment permalink. View the original post to see all comments and the full post content.
Comments (37)
You're (all) right, of course, there are several mathematicians who refuse to have an opinion on whether P = NP, and a handful who take the minority view (although of the 8 who did so in Gasarch's survey 'some' admitted they were doing it just to be contrary, that really doesn't leave many who actually believed P=NP).
What this definitively does not mean is that it's rational to assign 50% probability to each side my main point was that there is ample evidence to suggest that P != NP (see the Scott Aaronson post I linked to above) and a strong consensus in the community that P!=NP. To insist that one should assign 50% of one's probability to the possibility that P=NP is just plain wrong. If nothing else, Aaronson's "self-referential" argument should be enough to convince most people here that P is probably a strict subset of NP.