[extropy-chat] silent night
Eliezer Yudkowsky
sentience at pobox.com
Thu Dec 23 18:47:11 UTC 2004
Hal Finney wrote:
> Robin wrote:
> : I predict the sun will come up tomorrow. I will keep making this
> : prediction everyday for the next year. Go ahead, collect stats on
> : how well I do. Betcha I'm right more often than not.
>
> Eliezer wrote:
>
>>What exact probability do you assign? Now you've got me curious.
>
> Robin wrote:
> : Well for the purposes of the above discussion all I needed was p/(1-p) >> 1
> : But if I have to pick a number I'd say p/(1-p) ~ 10^4 to 10^5
>
> Eliezer wrote:
>
>>Interesting. That was just about exactly my own answer - 99.98% to
>>99.999%. Though as we may only make a single bet to sum up our
>>uncertainty, I would say 99.99%.
>
> Okay, so let me offer this bet to Eliezer: my $10,000 to your $1,
> that the sun will rise tomorrow. Here is how I propose to do it.
> I will send you a check for $10,000. I will trust you not to cash it
> unless the sun doesn't rise tomorrow. If the sun does rise as usual,
> you will send me back the uncashed check along with a one dollar bill.
>
> Or, if you want, you can decide to continue the bet each day and then,
> once a week, you can send me $7 if the sun has continued to rise on
> schedule. The series of bets can be terminated by either party.
A problem is that the probability of my surviving a win, is significantly
lower than the probability of a win. Furthermore, if I survive winning
this bet, the money has less utility to my purpose afterward.
--
Eliezer S. Yudkowsky http://singinst.org/
Research Fellow, Singularity Institute for Artificial Intelligence
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