On 12/1/2024 11:31 PM, Alan Grayson wrote:
On Sunday, December 1, 2024 at 10:05:49 PM UTC-7 Brent Meeker wrote:
Probabilities are like energies. Physically they take different
forms: frequentist, Bayesian, credence, wagers... And like
energies there is there is a common mathematical theory which they
obey and which can be used to transform between the different forms.
Brent
Concerning Deutsch, I didn't read the link, but since he's a MW
cultist, I would expect him to downgrade the concept of probability by
claiming it can't be rigorous defined -- since MW has a real problem
defining probabilities among multiple branches. Of course, many
fundamental concepts in physics and mathematics can't be defined
*rigorously*, so I assume Deutsch is just blowing smoke up our
collective butts in an effort to justify MW. In response to his BS, I
gave the example of "finite mathematics" where infinities are
disallowed because they seem unjustified from a rigorous POV. BTW, can
you say something about the common mathematical theory underlying the
different types of probabilities you mention. AG
Sure. The modern mathematical foundation of probability, now referred
to as "measure theory" is due to the Russsian mathematician Andrey
Kolmogorov: https://en.wikipedia.org/wiki/Probability_axioms Like all
mathematics it doesn't have any application built into it. The
applications come from applying it the different forms I mentioned above.
Brent
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