Is Quantum Logic Really Logic?

@article{Gardner1971IsQL,
  title={Is Quantum Logic Really Logic?},
  author={Michael Robert Gardner},
  journal={Philosophy of Science},
  year={1971},
  volume={38},
  pages={508 - 529}
}
  • M. Gardner
  • Published 1 December 1971
  • Philosophy
  • Philosophy of Science
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… 
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54 Citations
Background Citations
6
Methods Citations
1

54 Citations

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  • Philosophy
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  • 1980
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  • J. L. Bell
  • Philosophy
    The British Journal for the Philosophy of Science
  • 1986
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Two Deviant Logics for Quantum Theory: Bohr and Reichenbach*

  • M. Gardner
  • Philosophy
    The British Journal for the Philosophy of Science
  • 1972
Foundational studies in quantum theory have consisted in large part of attempts to avoid certain paradoxes. This paper concerns Bohr's and Reichenbach's attempts to avoid some of these seeming…

Probability and the Interpretation of Quantum Mechanics*

  • A. Fine
  • Philosophy
    The British Journal for the Philosophy of Science
  • 1973
In concluding a popular exposition of probability in quantum mechanics {QM), Richard Feynman says 'But the deep mystery is what I have described, and no one can go any further today.' Thus Feynman…

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Heisenberg'sgendanken experiments in quantum mechanics have given rise to a widespread belief that the indeterminacy relations holding for the variables of a quantal system can be explained…

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In order to prove the validity of logical rules, one has to assume these rules in the metalogic. However, rule-circular ‘justifications’ are demonstrably without epistemic value (sec. 1). Is a…

Logic, Counterexamples, and Translation

It is argued that counterexamples in logic are countereXamples not to particular inferences, but to logics as a whole, and that what counts as a legitimate translation from natural language to formal language is dependent on the background logic being assumed.
...

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