[extropy-chat] Coin Flip Paradox

Jef Allbright jef at jefallbright.net
Wed Jan 31 18:50:37 UTC 2007

gts wrote:

> On what logical grounds can proposition A imply or entail
> proposition B?
> A: "No information is available about the true probabilities of the
> two
> possible outcomes X and Y."
> B: "Outcomes X and Y are therefore equiprobable."
> Does A imply B, logically? I think not! If you or Jef can show me
> otherwise then please do.

Gordon, it seems here again that you're not cognizant of the difference
between probability and liklihood.  If you were to say that "Outcomes X
and Y are therefore equally likely", then we could agree that this does
not follow.

Does this statement make sense to you?

> The principle of indifference looks to me like illogical hocus-
> pocus, pure
> nonsense left over from the naive theory of Laplace. It may still
> be
> useful as a heuristic device, but let's call a spade and spade
> here!
> If the principle looks like a beautiful and elegant principle of
> logic to
> some people then, well, too bad for them. :)

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