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Classical and Quantum Probabilities as Truth Values

Authors: Andreas Doering, Chris J. Isham

(Submitted on 10 Feb 2011)

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.

Today i spotted this paper by Doering an Isham it's really interesting it reminded me somewhat of Careful's new book and also of Fra's ideas. Take a look !.