Piron's and Bell's Geometric Lemmas and Gleason's Theorem

, &
Foundations of Physics 30 (10):1737-1755 (2000)
  Copy   BIBTEX

Abstract

We study the idea of implantation of Piron's and Bell's geometrical lemmas for proving some results concerning measures on finite as well as infinite-dimensional Hilbert spaces, including also measures with infinite values. In addition, we present parabola based proofs of weak Piron's geometrical and Bell's lemmas. These approaches will not used directly Gleason's theorem, which is a highly non-trivial result

Categories

Keywords

Reprint years

DOI

10.1023/a:1026458519154

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,349

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

On Gleason’s Theorem without Gleason.David Buhagiar, Emmanuel Chetcuti & Anatolij Dvurečenskij - 2009 - Foundations of Physics 39 (6):550-558.
Survey of general quantum physics.C. Piron - 1972 - Foundations of Physics 2 (4):287-314.
Generalizations of Kochen and Specker's theorem and the effectiveness of Gleason's theorem.Itamar Pitowsky - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (2):177-194.
Nonlocality and Gleason's lemma. Part I. Deterministic theories.H. R. Brown & G. Svetlichny - 1990 - Foundations of Physics 20 (11):1379-1387.
Gleason's theorem has a constructive proof.Fred Richman - 2000 - Journal of Philosophical Logic 29 (4):425-431.
A constructive formulation of Gleason's theorem.Helen Billinge - 1997 - Journal of Philosophical Logic 26 (6):661-670.
The Bell Theorem as a Special Case of a Theorem of Bass.Karl Hess & Walter Philipp - 2005 - Foundations of Physics 35 (10):1749-1767.
Nonlocality and Gleason's lemma. Part 2. Stochastic theories.Andrew Elby - 1990 - Foundations of Physics 20 (11):1389-1397.
Disproof of bell's theorem: Further consolidations.Joy Christian - unknown
Non-Local Realistic Theories and the Scope of the Bell Theorem.Federico Laudisa - 2008 - Foundations of Physics 38 (12):1110-1132.
Contextualism and nonlocality in the algebra of EPR observables.Federico Laudisa - 1997 - Philosophy of Science 64 (3):478-496.
Non-separability Does Not Relieve the Problem of Bell’s Theorem.Joe Henson - 2013 - Foundations of Physics 43 (8):1008-1038.
Quantum measure spaces.G. Kalmbach - 1990 - Foundations of Physics 20 (7):801-821.
Bell’s Theorem without Inequalities and without Unspeakable Information.Adán Cabello - 2005 - Foundations of Physics 35 (11):1927-1934.

Analytics

Added to PP
2013-11-22

Downloads
70 (#229,266)

6 months
5 (#629,136)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.

Add more references