Algorithmic Measurement Procedures

Foundations of Physics 50 (8):749-763 (2020)
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Abstract

Measurements are shown to be processes designed to return figures: they are effective. This effectivity allows for a formalization as Turing machines, which can be described employing computation theory. Inspired in the halting problem we draw some limitations for measurement procedures: procedures that verify if a quantity is measured cannot work in every case.

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References found in this work

Computability & unsolvability.Martin Davis - 1958 - New York: Dover Publications.
Mathematical logic.Stephen Cole Kleene - 1967 - Mineola, N.Y.: Dover Publications.
Basic Concepts of Measurement.Brian Ellis - 1968 - Cambridge University Press.

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