All of yrff_jebat's Comments + Replies

  1. Not "almost all are completely convinced"; according to this poll, 61 supposed experts "thought P != NP" (which does not imply that they would bet their house on it), 9 thought the opposite and 22 offered no opinion (the author writes that he asked "theorists", partly people he knew, but also partly by posting to mailing lists - I'm pretty sure he filtered out the crackpots and that enough of the rest are really people working in the area)

  2. Even that case wouldn't increase the likelyhood of P != NP to 1-epsilon, as experts ha

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I don't think that your typical prison inmate is a perfect Bayesian.

I rather think that that should be, ideally, adjusted so that overall utility is maximized (weighing the utility of prisoners equally as the utility of the rest), which will be vastly different both from reality and from your model assuming the above proposition.

Berlin, Germany

I also find it funny when mathematicians pejoratively speak of "recreational mathematics" (problem solving) as opposed to theory building: "If I build a lego hat, that's just for fun, but if I build a lego Empire State Building, that's serious business!"

I don't want to conclude that lottery might be rational, but I don't think it is self-evident that the right way for deciding between different probability distributions of utility is to compare the expectation value. We are not living a large number of times, we are living once (and, even if we did, bare summated value would neglect justice).

2RobinZ
It's not self-evident, no, but it can be shown under some reasonable assumptions. If you don't play according to expected utility, then you take the risk of being convinced to do something silly, like buying one lottery ticket for a high price, swapping it for a second ticket, and then selling your new ticket for a lower price. P.S. Welcome to Less Wrong! You may already have read these, but just so you know: the About page and FAQ are both very handy to new users, and the 2010 Welcome Thread is a good place to introduce yourself formally if you so desire.

(Not meant as a rhetoric question): Does "mathematical analysis" really mean that someone with an IQ of 170 has (in average) a real advantage to someone with an IQ of 160 (if you don't count effects on information processing ability and reaction time) in solving really hard mathematical problems, or is it rather a combination of clicking fast, knowing how the monsters will react and calcing through what will happen if you do X?

At least the first part could be said word-by-word for modern-day astrophysics, except that this is socially accepted and the guys and gals doing it are (in most cases) being paid for (and even the people seeing fundamental knowledge over the universe as goal in itself will agree that there are far more important things to divert workforce to)

1yrff_jebat
I also find it funny when mathematicians pejoratively speak of "recreational mathematics" (problem solving) as opposed to theory building: "If I build a lego hat, that's just for fun, but if I build a lego Empire State Building, that's serious business!"
0[anonymous]
I also find it funny when mathematicians pejoratively speak of "recreational mathematics" or problem-solving as opposed to theory-building: "If I build a lego hut, that's just for fun, but if I build a lego empire state building, that's serious business!"