Classical and Quantum Probabilities as Truth Values
Quantum Physics
2013-12-06 v1 Mathematical Physics
math.MP
Probability
Abstract
We show how probabilities can be treated as truth values in suitable sheaf topoi. The scheme developed in this paper is very general and applies to both classical and quantum physics. On the quantum side, the results are a natural extension of our existing work on a topos approach to quantum theory. Earlier results on the representation of arbitrary quantum states are complemented with a purely logical perspective.
Cite
@article{arxiv.1102.2213,
title = {Classical and Quantum Probabilities as Truth Values},
author = {Andreas Doering and Chris J. Isham},
journal= {arXiv preprint arXiv:1102.2213},
year = {2013}
}
Comments
39 pages, no figures