[extropy-chat] Random Thought Experiments (was Coin Flip Paradox)
gts_2000 at yahoo.com
Wed Jan 31 13:39:30 UTC 2007
On Tue, 30 Jan 2007 23:05:12 -0500, The Avantguardian
<avantguardian2020 at yahoo.com> wrote:
> Yes. As I mentioned in an earlier post, Boltzman's
> Equipartition Theorem may be thought of as the
> Principle of Indifference as applied to the internal
> energy of a classical system.
Yes, and in that example the Principle of Indifference is a powerful
*heuristic device*. In general it has a lot of heuristic power in the
physical sciences (one reason ET Jaynes was so fond of it). This does not
however prove it to be a valid principle of *logic*.
You might ask why this distinction matters. It matters because certain
interpretations of Kolmogorov's axioms of probability stand or fall on the
question of whether the PI is a valid principle of logic.
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