RE: probabilities & measures & computable universes

2004-01-24 Thread Ben Goertzel
> Sent: Friday, January 23, 2004 9:23 AM > To: [EMAIL PROTECTED] > Subject: Re: probabilities & measures & computable universes > > > Are probabilities always and necessarily positive-definite? > > I'm asking this because there is a thread, started by Dirac > a

Re: probabilities & measures & computable universes

2004-01-24 Thread Wei Dai
On Fri, Jan 23, 2004 at 09:04:20PM -0800, Hal Finney wrote: > Do you think it would come out differently with a universal distribution? There are an infinite number of universal distributions. Some of them assign greater probability to even integers, some of them assign greater probability to od

Re: probabilities & measures & computable universes

2004-01-23 Thread Hal Finney
Juergen Schmidhuber writes: > What is the probability of an integer being, say, > a square? This question does not make sense without > a prior probability distribution on the integers. > > This prior cannot be uniform. Try to find one! > Under _any_ distribution some integers must be > more likel

Re: probabilities & measures & computable universes

2004-01-23 Thread scerir
Are probabilities always and necessarily positive-definite? I'm asking this because there is a thread, started by Dirac and Feynman, saying the only difference between the classical and quantum cases is that in the former we assume the probabilities are positive-definite. Thus, speaking of MWI,