Title
Completeness of quantum logic
Abstract
This paper is based on a semantic foundation of quantum logic which makes use of dialog-games. In the first part of the paper the dialogic method is introduced and under the conditions of quantum mechanical measurements the rules of a dialog-game about quantum mechanical propositions are established. In the second part of the paper the quantum mechanical dialog-game is replaced by a calculus of quantum logic. As the main part of the paper we show that the calculus of quantum logic is complete and consistent with respect to the dialogic semantics. Since the dialog-game does not involve the ‘excluded middle’ the calculus represents a calculus of effective (intuitionistic) quantum logic.
Year
DOI
Venue
1976
10.1007/BF00248731
J. Philosophical Logic
Keywords
Field
DocType
Hilbert Space, Main Part, Forthcoming Paper, Quantum Logic, Mechanical Measurement
Open quantum system,Quantum probability,Discrete mathematics,Categorical quantum mechanics,Quantum process,Proof calculus,Quantum logic,Many-valued logic,Mathematics,Quantum operation
Journal
Volume
Issue
ISSN
5
2
1573-0433
Citations 
PageRank 
References 
3
1.26
0
Authors
1
Name
Order
Citations
PageRank
Ernst-Walther Stachow1104.46