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} }
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…
56 Citations
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References
SHOWING 1-9 OF 9 REFERENCES
Philosophic Foundations of Quantum Mechanics
- PhilosophyNature
- 1946
IN the preface of this work, the author tells us that he “has tried to develop a philosophical interpretation of quantum physics which is free from metaphysics”; a somewhat puzzling sentence, since…
Simultaneous measurability in quantum theory
- Philosophy
- 1968
This paper presents a study of what is sometimes regarded as the conceptual heart of quantum theory, namely, the orthodox ‘physical’ interpretation of non-commuting operators as representatives of…
The Problem of Hidden Variables in Quantum Mechanics
- Physics
- 1967
Forty years after the advent of quantum mechanics the problem of hidden variables, that is, the possibility of imbedding quantum theory into a classical theory, remains a controversial and obscure…
The Physical Principles of the Quantum Theory
- Physics
- 1930
It is an unusual pleasure to present Professor Heisenberg’s Chicago lectures on “The Physical Principles of the Quantum Theory” to a wider audience than could attend them when they were originally…
Statistical Interpretation of Quantum Mechanics.
- PhysicsScience
- 1955
The published work for which the honor of the Nobel prize for the year 1954 has been accorded to me does not contain the discovery of a new phenomenon of nature but, rather, the foundations of a new…
On the Problem of Hidden Variables in Quantum Mechanics
- Physics
- 1966
The demonstrations of von Neumann and others, that quantum mechanics does not permit a hidden variable interpretation, are reconsidered. It is shown that their essential axioms are unreasonable. It…
Quantum Mechanics without “The Observer”
- Physics
- 1967
This thesis is that the observer, or better, the experimentalist, plays in quantum theory exactly the same role as in classical physics.
Matter, Space and Logic
- Art
- 1969
Physics has a warp and a woof, like a fabric stretched across many levels of abstraction and woven out two millenia long. Across the fabric is a pattern persistent over the entire length in which the…
Some Conceptual Problems of Quantum Theory
- Pittsburgh Series in Philosophy of Science
- 1972