Quantum Physics, Fuzzy Sets and Logic
Steps Towards a Many-Valued Interpretation of Quantum Mechanics| By: | Jarosław Pykacz |
| Publisher: | Springer Nature |
| Print ISBN: | 9783319193830 |
| eText ISBN: | 9783319193847 |
| Edition: | 0 |
| Copyright: | 2015 |
| Format: | Page Fidelity |
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This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Łukasiewicz infinite-valued logic. It begins with a short survey of main interpretations of quantum mechanics already proposed, as well as various models of many-valued logics and previous attempts to apply them for the description of quantum phenomena. The prospective many-valued interpretation of quantum mechanics is soundly based on a theorem concerning the isomorphic representation of Birkhoff-von Neumann quantum logic in the form of a special Łukasiewicz infinite-valued logic endowed with partially defined conjunctions and disjunctions.