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Quantum logic

Author: Peter Mittelstaedt
Publisher: Dordrecht, Holland ; Boston : D. Reidel Pub. Co., ©1978.
Series: Synthese library, v. 126
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Mittelstaedt, Peter.
Quantum logic.
Dordrecht, Holland ; Boston : D. Reidel Pub. Co., ©1978
(OCoLC)647300107
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Peter Mittelstaedt
ISBN: 9027709254 9789027709257
OCLC Number: 4496339
Description: viii, 149 pages : illustrations ; 23 cm.
Contents: 1 / The Hilbert Space Formulation of Quantum Physics.- 1.1 The Hilbert Space.- 1.2 The Lattice of Subspaces of Hilbert Space.- 1.3 Projection Operators.- 1.4 States and Properties of a Physical System.- 2 / The Logical Interpretation of the Lattice Lq.- 2.1 The Quasimodular Lattice Lq.- 2.2 The Relation of Commensurability.- 2.3 The Material Quasi-implication.- 2.4 The Relation between Lattice Theory and Logic.- 3 / The Material Propositions of Quantum Physics.- 3.1 Elements of a Language of Quantum Physics.- 3.2 Argument-rules for Compound Propositions.- 3.3 Commensurability and Incommensurability.- 3.4 The Material Dialog-game.- 4 / The Calculus of Effective Quantum Logic.- 4.1 Formally True Propositions.- 4.2 Formal Dialogs with Material Commensurabilities.- 4.3 The Formal Dialog-game.- 4.4 The Calculus Qeff of Effective Quantum Logic.- 5 / The Lattice of Effective Quantum Logic.- 5.1 The Quasi-implicative Lattice Lqi.- 5.2 Properties of the Lattice Lqi.- 5.3 The Relation between Lqi and the Lattice Li.- 5.4 The Relation between Lqi and the Lattice Lq.- 6 / The Calculus of Full Quantum Logic.- 6.1 Value-definite Material Propositions.- 6.2 The Value-definiteness of Compound Propositions.- 6.3 The Extension of the Calculus Qeff.- 6.4 The Principle of Excluded Middle.- Concluding Remarks: Classical Logic and Quantum Logic.
Series Title: Synthese library, v. 126
Responsibility: by Peter Mittelstaedt.

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