David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 38 (4):508-529 (1971)
Putnam and Finkelstein have proposed the abandonment of distributivity in the logic of quantum theory. This change results from defining the connectives, not truth-functionally, but in terms of a certain empirical ordering of propositions. Putnam has argued that the use of this ordering ("implication") to govern proofs resolves certain paradoxes. But his resolutions are faulty; and in any case, the paradoxes may be resolved with no changes in logic. There is therefore no reason to regard the partially ordered set of propositions as a logic--i.e. as embodying a criterion for soundness of proofs. Its role in quantum theory ought to be understood in an entirely different way
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Christopher Norris (1997). Ontological Relativity and Meaning-Variance: A Critical-Constructive Review. Inquiry 40 (2):139 – 173.
Alexandru Baltag & Sonja Smets (2011). Quantum Logic as a Dynamic Logic. Synthese 179 (2):285 - 306.
Similar books and articles
Geoffrey Hellman (1980). Quantum Logic and Meaning. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:493 - 511.
R. I. G. Hughes (1980). Quantum Logic and the Interpretation of Quantum Mechanics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:55 - 67.
John Bell & Michael Hallett (1982). Logic, Quantum Logic and Empiricism. Philosophy of Science 49 (3):355-379.
Itamar Pitowsky (1982). Substitution and Truth in Quantum Logic. Philosophy of Science 49 (3):380-401.
Othman Qasim Malhas (1994). Abacus Logic: The Lattice of Quantum Propositions as the Poset of a Theory. Journal of Symbolic Logic 59 (2):501-515.
Peter Mittelstaedt (1978). The Metalogic of Quantum Logic. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1978:249 - 256.
Jarosław Pykacz (2010). Unification of Two Approaches to Quantum Logic: Every Birkhoff -von Neumann Quantum Logic is a Partial Infinite-Valued Łukasiewicz Logic. Studia Logica 95 (1/2):5 - 20.
Peter Gibbins (1987). Particles and Paradoxes: The Limits of Quantum Logic. Cambridge University Press.
James H. McGrath (1978). Only If Quanta Had Logic. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1978:268 - 275.
Added to index2009-01-28
Total downloads20 ( #82,881 of 1,098,129 )
Recent downloads (6 months)1 ( #283,807 of 1,098,129 )
How can I increase my downloads?