[extropy-chat] Coin Flip Paradox

[gts]

On Mon, 29 Jan 2007 19:34:11 -0500, Mike Dougherty <msd001 at gmail.com>  
wrote:

> I have come to appreciate "gts" as a tag representing an almost religious
> dogma on a subject I don't seem to care enough about to fully understand.

Thanks, but I have been objecting here when I see others taking one or  
another philosophical theory as dogma, so I think it's funny that my  
arguments are seen by you as dogma. I have tried very hard not to tie my  
beliefs to one or another philosophical interpretation, hoping to find  
some more general interpretation.

Currently there exist huge gaps between and amongst the five different  
philosophical theories that purport to explain the foundations of  
Kolmogorov's formal probability axioms. They are 1) the classical, 2) the  
logical, 3) the subjective, 4) the frequentist, and 5) the propensity  
theories. Each of these theories has drawbacks, and each also something to  
offer. None of them seems to capture the full meaning of probability  
theory.

So a LOT of academic work still needs to be done in the philosophical  
foundations of probability theory! And this subject is made all the more  
important by the philosophical problems posed by QM.

I'd like to see my intelligent friends here on extropy-chat address the  
problem. I'm not encouraged when I see them sitting in the peanut gallery  
throwing spit-wads at the questions... sigh...

But I do appreciate the spirit of your comment. :)

-gts