# Quantum Logic, Conditional Probability, and Interference

@article{Bub1982QuantumLC, title={Quantum Logic, Conditional Probability, and Interference}, author={Jeffrey Bub}, journal={Philosophy of Science}, year={1982}, volume={49}, pages={402 - 421} }

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…

## 37 Citations

### Quantum Logic and the Projection Postulate

- PhilosophyPhilosophy of Science
- 1981

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

- PhilosophyPSA: 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

- PhilosophyPhilosophy of Science
- 1982

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

- Physics
- 1991

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

- Mathematics
- 1989

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…

### Critique of Putnam's quantum logic

- Philosophy, Physics
- 1993

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

- PhilosophyThe 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

- PhilosophyPhilosophy of Science
- 1983

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

- PhilosophyPhilosophy of Science
- 1996

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…

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