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International Journal of Theoretical Physics, 2003
In [\textit{G. Cattaneo, M. Dalla Chiara, R. Giuntini} and \textit{R. Leporini}, An unsharp logic from quantum computation. Int. J. Theor. Phys. (in press)], the authors developed a new form of quantum logic (called \textit{quantum computational logic}) based on the theory of quantum computation.
Stanley Gudder
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In [\textit{G. Cattaneo, M. Dalla Chiara, R. Giuntini} and \textit{R. Leporini}, An unsharp logic from quantum computation. Int. J. Theor. Phys. (in press)], the authors developed a new form of quantum logic (called \textit{quantum computational logic}) based on the theory of quantum computation.
Stanley Gudder
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PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association, 1974
One can and often does use the word ‘logic’ in a variety of metaphorical ways, speaking of “the logic of the situation”, “the logic of events”, “the logic of history”, and so on. No harm is done, so long as one realizes that these usages are metaphorical, and should not be given any deeper significance – at least without extensive discussion of the ...
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One can and often does use the word ‘logic’ in a variety of metaphorical ways, speaking of “the logic of the situation”, “the logic of events”, “the logic of history”, and so on. No harm is done, so long as one realizes that these usages are metaphorical, and should not be given any deeper significance – at least without extensive discussion of the ...
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Foundations of Physics, 1984
The status and justification of quantum logic are reviewed. On the basis of several independent arguments it is concluded that it cannot be a logic in the philosophical sense of a general theory concerning the structure of valid inferences. Taken as a calculus for combining quantum-mechanical propositions, it leaves a number of significant aspects of ...
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The status and justification of quantum logic are reviewed. On the basis of several independent arguments it is concluded that it cannot be a logic in the philosophical sense of a general theory concerning the structure of valid inferences. Taken as a calculus for combining quantum-mechanical propositions, it leaves a number of significant aspects of ...
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The modal logic of quantum logic
Journal of Philosophical Logic, 1979Modal logic is concerned with the concepts of necessity and possibility and a certain class of object propositions. In this paper we develop the basic concepts of a modal logic which is related to propositions about quantum physical objects. Since the object logic of quantum mechanical propositions is given by the calculi of quantum logic, the ...
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Journal of Philosophical Logic, 2003
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Journal of Philosophical Logic, 1976
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.
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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.
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On the structure of quantum logic
Journal of Symbolic Logic, 1969In the axiomatic development of the logic of nonrelativistic quantum mechanics it is not difficult to set down certain plausible axioms which ensure that the quantum logic of propositions has the structure of an orthomodular poset. This can be done in a number of ways, for example,
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The Logic of Quantum Measurements
International Journal of Theoretical Physics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vanni, Leonardo, Laura, Roberto
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Soft Computing, 2009
Let \(L\) be an orthomodular lattice. The author introduces a class \(\Gamma\) of functions \(G: L \times L \to L\) and studies their properties. \(\Gamma\) splits into eight subclasses \(\Gamma_i\) according to the values of each \(G\) in the points \((O,O)\), \((O,I)\) and \((I,I)\).
Olga Nánásiová, Lubica Valásková
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Let \(L\) be an orthomodular lattice. The author introduces a class \(\Gamma\) of functions \(G: L \times L \to L\) and studies their properties. \(\Gamma\) splits into eight subclasses \(\Gamma_i\) according to the values of each \(G\) in the points \((O,O)\), \((O,I)\) and \((I,I)\).
Olga Nánásiová, Lubica Valásková
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The Logic of Quantum Mechanics
The Annals of Mathematics, 1936\glqq Experimentelle Aussagen\grqq{} über den Zustand eines quantenmechanischen Systems haben die Form: \(n\) gegebene gleichzeitig meßbare Größen haben Werte, die mit Sicherheit einer gegebenen Menge \(S\) von Wertsystemen angehören. Im Hilbertschen Raum der Zustandsfunktionen \(\psi\) entspricht jeder experimentellen Aussage ein abgeschlossener ...
Birkhoff, Garrett, von Neumann, John
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