Re: Observation selection effects

2004-10-07 Thread Stathis Papaioannou
Jesse Mazer wrote: I don't think that's a good counterargument, because the whole concept of probability is based on ignorance... No, I don't agree! Probability is based in a sense on ignorance, but you must make full use of such information as you do have. If you toss a fair coin, is Pr(heads)

Re: Observation selection effects

2004-10-07 Thread Jesse Mazer
Stathis Papaioannou wrote: Jesse Mazer wrote: I don't think that's a good counterargument, because the whole concept of probability is based on ignorance... No, I don't agree! Probability is based in a sense on ignorance, but you must make full use of such information as you do have. Of course--

S, B, and a puzzle by Boolos, Smullyan, McCarthy

2004-10-07 Thread Bruno Marchal
At 11:54 06/10/04 -0700, George Levy wrote: To avoid confusion between my Switch belief function and the one you use, let me rename my three state switch belief function from B to S. So now, what I had expressed in an earlier post as qBp becomes qSp, where q is the switch control line, p is the i

Re: Observation selection effects

2004-10-07 Thread Stathis Papaioannou
Jesse Mazer wrote: I don't think that's a good counterargument, because the whole concept of probability is based on ignorance... No, I don't agree! Probability is based in a sense on ignorance, but you must make full use of such information as you do have. Of course--I didn't mean it was based

Re: Observation selection effects

2004-10-07 Thread Stathis Papaioannou
Addition to my last post: (1) The original game: envelope A and B, you know one has double the amount of the other, but you don't know which. You open A and find $100. Should you switch to B, which may have either $50 or $200? (2) A variation: everything is the same, up to the point where you ar

Re: Observation selection effects

2004-10-07 Thread Stathis Papaioannou
This has been an interesting thread so far, but let me bring it back to topic for the Everything List. It has been assumed in most posts to this list over the years that our current state must be a "typical" state in some sense. For example, our world has followed consistent laws of physics for

Re: Observation selection effects

2004-10-07 Thread Jesse Mazer
Stathis Papaioannou wrote: Sorry Jesse, I can see in retrospect that I was insulting your intelligence as a rhetorical ploy, and we >shouldn't stoop to that level of debate on this list. No problem, I wasn't insulted... You say that you "must incorporate whatever information you have, but no mor

Re: Observation selection effects

2004-10-07 Thread "Hal Finney"
Stathis Papaioannou writes: > Suppose that according to X-Theory, in the next minute the world will split > into one million different versions, of which one version will be the same > sort of orderly world we are used to, while the rest will be worlds in which > it will be immediately obvious t