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<i>the value of this memory card, was worth more than the rest of the entire observable universe minus the card</i>

I doubt this would be true. I think the value of the card would actually be close to zero (though I'm not completely sure). It does let one solve the halting problem up to 10,000 stat...(read more)

OK. That makes more sense then. I'm not sure why you call it 'Fun Theory' though. It sounds like you intend it to be a theory of 'the good life', but a non-hedonistic one. Strangely it is one where people having 'fun' in the ordinary sense is not what matters, despite the name of the theory.

<i>Thi...(read more)

Eliezer,

Are you saying that one's brain state can be identical in two different scenarios but that you are having a different amount of fun in each? If so, I'm not sure you are talking about what most people call fun (ie a property of your experiences). If not, then what quantity are you talking a...(read more)

<i>I would drop dead of shock</i>

Eliezer, just as it was interesting to ask what probability estimate 'Nuts!' amounted to, I think it would be very useful for the forum of Overcoming Bias to ask what your implicit probability estimate for a 500 state TM being able to solve the halting problem for ...(read more)

Sorry, I didn't see that you had answered most of this question in the other thread where I first asked it.

<i>Toby, if you were too dumb to see the closed-form solution to problem 1, it might take an intense effort to tweak the bit on each occasion, or perhaps you might have trouble turning the gl...(read more)

Eliezer,

I'm afraid that I'm not sure precisely what your measure is, and I think this is because you have given zero precise examples: even of its subcomponents. For example, here are two optimization problems:

1) You have to output 10 million bits. The goal is to output them so that no two conse...(read more)

I agree with David's points about the roughness of the search space being a crucial factor in a meaningful definition of optimization power.

I'm not sure that I get this. Perhaps I understand the maths, but not the point of it. Here are two optimization problems:

1) You have to output 10 million bits. The goal is to output them so that no two consecutive bits are different.

2) You have to output 10 million bits. The goal is to output t...(read more)

<i>But if you say "Shut up and do what seems impossible!", then that, to me, sounds like dispelling part of the essential message - that what seems impossible doesn't look like it "seems impossible", it just looks impossible.</i>

"Shut up and do what seems impossible!" is the literally correct mess...(read more)

Eliezer,

Crossman and Crowley make very good points above, delineating three possible types of justification for some of the things you say:

1) Don't turn him in because the negative effects of the undermining of the institution will outweigh the benefits

2) Don't turn him in because [some non-co...(read more)