On a possible empirical meaning of meets and joins for quantum propositions
type: Item
instance of: scholarly article
title: On a possible empirical meaning of meets and joins for quantum propositions
zbMATH Open document ID: 0557.03042
DOI: 10.1007/BF00418115
author: F. Herbut
published in: Letters in Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: According to the Jauch-Piron approach to quantum logic, the logical operations of meet and join are associated with ''infinite sequences of alternate pairs'' of measurements of constituent propositions. This is their ''empirical meaning'', which is generally admitted to be somewhat imprecise. The present author however, intends to develop this in a well- defined way. He seeks to give a precise meaning to the ''infinite sequences'' by applying the theory of limits to probability expressions for repeated experiments. Furthermore he extends his argument to non- countably infinite sequences, with a final suggestion that meets and joins might be understood as Dedekind's cuts, in analogy with the irrationals. The argument is interesting, and probably important to the Jauch-Piron school. However it is arguable to what extent an ''empirical meaning'' could be involved.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 3887684
zbMATH Keywords: infinite sequences of alternate pairs
zbMATH Keywords: repeated experiments
MaRDI profile type: Publication
cites work: Measurement, theory, and information
description: scientific article; zbMATH DE number 3887684