I think the important point is that probability theory is just
mathematics, like calculus or linear algebra. It has applications in
which it is given different interpretations: frequentism, degree of
belief, measure, decision theory, etc. Often its application entails
moving from one interpretation to another.
Brent
On 11/22/2022 7:54 AM, Lawrence Crowell wrote:
There are two concepts of probability and statistics, Bayesianism and
frequentism (orthodox view), which formulate probability in somewhat
different ways. I would say that quantum mechanics might be the most
rigorous definition of probability. I would be tempted to say it is
more Bayesian than frequentist.
LC
On Monday, November 21, 2022 at 8:15:19 PM UTC-6 [email protected] wrote:
On 22-11-2022 02:47, Brent Meeker wrote:
> On 11/21/2022 5:12 PM, smitra wrote:
>> The problem lies with the notion of probability, he explains
here that
>> it cannot refer to anything in the physics world as an exact
>> statement:
>>
>> https://www.youtube.com/watch?v=wfzSE4Hoxbc&t=1036s
<https://www.youtube.com/watch?v=wfzSE4Hoxbc&t=1036s>
>>
>> That's then a problem for a fundamental theory of physics as
such a
>> theory must refer to statements about nature that are exactly
true.
>
> Who says so? Physics never makes exact measurements. Why should
the
> theory do something that the physics can't? Deutsch is like the
> scholastics, he thinks physics is just a branch of mathematical
logic.
>
> Brent
But physics cannot implement a rigorous notion of probability. So,
that
then makes QM in the traditional formulation problematic.
Saibal
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