On the Time Orientation of Probability
- URL: http://arxiv.org/abs/2403.01062v1
- Date: Sat, 2 Mar 2024 01:55:46 GMT
- Title: On the Time Orientation of Probability
- Authors: Andrea Di Biagio, Carlo Rovelli
- Abstract summary: An influential theorem by Satosi Wantabe convinced many that there can be no genuinely probabilistic theory with both non-trivial forward and backward transition probabilities.
We show that this conclusion does not follow from the theorem.
We showcase examples of theories with well-defined backward and forward transition probabilities.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: An influential theorem by Satosi Wantabe convinced many that there can be no
genuinely probabilistic theory with both non-trivial forward and backward
transition probabilities. We show that this conclusion does not follow from the
theorem. We point out the flaw in the argument, and we showcase examples of
theories with well-defined backward and forward transition probabilities.
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