🧵 Kolmogorov probability concept
Anonymous at Wed, 1 May 2024 13:54:32 UTC No. 16154856
Is Kolmogorov's axiomatization of the concept of probability a physical theory?
What's a list of the physical theories?
1) General relativity spacetime with Newton laws and fields like the electromagnetic ones
2) Quantum field theory(s)
Then statistics applied to it (itself making use of Kolmogorov), which justifies but doesn't necessarily give all the models of
3) Thermodynamics
That all?
Anonymous at Wed, 1 May 2024 15:39:15 UTC No. 16154992
>>16154856
I still remember the Chapman-Kolmogorov equation from stochastics lecture
Anonymous at Wed, 1 May 2024 15:59:07 UTC No. 16155005
>>16154856
All of math is physical theories. The purpose of math is to describe reality.
Anonymous at Thu, 2 May 2024 02:12:58 UTC No. 16155704
>>16155005
no, the purpose of reality is to enact and embody maths.
Anonymous at Thu, 2 May 2024 20:47:46 UTC No. 16156901
without equals
Anonymous at Thu, 2 May 2024 22:10:17 UTC No. 16156999
schizophasia thread
Anonymous at Thu, 2 May 2024 23:12:42 UTC No. 16157048
>>16155005
Lmao what? Where did you get this notion? The purpose of theoretical physics isn't even to "describe reality." It's all platonic forms all the way down.
When we get some realistic application that's a benefit but it's certainly not the modern formulation of probability.
Anonymous at Fri, 3 May 2024 22:24:18 UTC No. 16158274
>>16154856
Interesting question OP. Quantum probability is closely related to quantum logic, and it definitely raises questions about the empirical nature of probabilistic theory.
Anonymous at Fri, 3 May 2024 22:33:47 UTC No. 16158281
>>16154856
I'm taking a course of quantum probability at the moment. This is related to the Kochen-Specker theorem and Gleason's theorem and the notion of quantum probability spaces.