Quantum Logic, Conditional Probability, and Interference

  title={Quantum Logic, Conditional Probability, and Interference},
  author={Jeffrey Bub},
  journal={Philosophy of Science},
  pages={402 - 421}
  • J. Bub
  • Published 1 September 1982
  • Philosophy
  • Philosophy of Science
Friedman and Putnam have argued (Friedman and Putnam 1978) that the quantum logical interpretation of quantum mechanics gives us an explanation of interference that the Copenhagen interpretation cannot supply without invoking an additional ad hoc principle, the projection postulate. I show that it is possible to define a notion of equivalence of experimental arrangements relative to a pure state φ , or (correspondingly) equivalence of Boolean subalgebras in the partial Boolean algebra of… 

Quantum Logic and the Projection Postulate

This paper explores the status of the von Neumann-Luders state transition rule (the "projection postulate") within "real-logic" quantum logic. The entire discussion proceeds from a reading of the

Quantum Logic and Meaning

  • G. Hellman
  • Philosophy
    PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association
  • 1980
Quantum logic as genuine non-classical logic provides no solution to the "paradoxes" of quantum mechanics. From the minimal condition that synonyms be substitutable salva veritate, it follows that

Quantum Logic and the Luders Rule

In a recent paper, Michael Friedman and Hilary Putnam argued that the Luders rule is ad hoc from the point of view of the Copenhagen interpretation but that it receives a natural explanation within

The problem of properties in quantum mechanics

The properties of classical and quantum systems are characterized by different algebraic structures. We know that the properties of a quantum mechanical system form a partial Boolean algebra not

On Bohr's response to EPR: A quantum logical analysis

Bohr's complementarity interpretation is represented as the relativization of the quantum mechanical description of a system to the maximal Boolean subalgebra (in the non-Boolean logical structure of

Is logic empirical

Critique of Putnam's quantum logic

Putnam gives a strongly realist account of quantum logic. This has been criticised as suggesting a hidden variable interpretation for quantum mechanics. Friedman and Glymour have done this in the

The Philosophy of Quantum Mechanics

  • J. Bub
  • Philosophy
    The British Journal for the Philosophy of Science
  • 1989
The trouble with the philosophy of quantum mechanics, I'm told, is that as soon as you've found a position, you lose your momentum.' Three very different books by philosophers on quantum mechanics

Quantum Logic, Realism, and Value Definiteness

One of the most interesting programs in the foundations of quantum mechanics is the realist quantum logic approach associated with Putnam, Bub, Demopoulos and Friedman (and which is the focus of my

Logical Foundations for Modal Interpretations of Quantum Mechanics

This paper proposes a logic, motivated by modal interpretations, in which every quantum mechanics propositions has a truth-value. This logic is completely classical, hence violates the conditions of



Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that one is led to conclude that the description of reality as given by a wave function is not complete.

On the Problem of Hidden Variables in Quantum Mechanics

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 Logic, Conditional Probability, and Interference

The quantum logical interpretation of quantum mechanics gives us an explanation of interference that the Copenhagen interpretation cannot supply, and this explanation is compatible with classical mechanics.

The two Problems of Quantum Measurement

Von Neumann's projection postulate as a probability conditionalization rule in quantum mechanics

  • J. Bub
  • Mathematics, Computer Science
    J. Philos. Log.
  • 1977

The Measurement Problem of Quantum Mechanics", Problems in the Foundations of Physics, G

  • Toraldo di Francia (ed.). Amsterdam: North-Holland
  • 1979