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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