A note on Peter Gibbins' "a note on quantum logic and the uncertainty principle"

Philosophy of Science 49 (3):478-479 (1982)
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Abstract

The arguments presented by Gibbins in his Note are based on a sharp distinction between the product Δx·Δp, which refers to the ranges of position and momentum of an individual system, and the uncertainty principle ΔX·ΔP ≥ ħ/2, which expresses a statistical relation for an ensemble of systems. A critical role in Gibbins’ reasoning is played by the theorem T which states that the restriction of the dynamical variable of position x of an individual system to a finite range Δx excludes the possibility of restricting the canonically conjugate dynamical variable of momentum p to a finite range Δp.

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References found in this work

The Logic of Scientific Discovery.Karl Popper - 1959 - Studia Logica 9:262-265.
A Note on Quantum Logic and the Uncertainty Principle.Peter Gibbins - 1981 - Philosophy of Science 48 (1):122-126.

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