Foundations of Physics 21 (3):323-341 (1991)

Jos Uffink
University of Minnesota
The concepts of uncertainty in prediction and inference are introduced and illustrated using the diffraction of light as an example. The close relationship between the concepts of uncertainty in inference and resolving power is noted. A general quantitative measure of uncertainty in inference can be obtained by means of the so-called statistical distance between probability distributions. When applied to quantum mechanics, this distance leads to a measure of the distinguishability of quantum states, which essentially is the absolute value of the matrix element between the states. The importance of this result to the quantum mechanical uncertainty principle is noted. The second part of the paper provides a derivation of the statistical distance on the basis of the so-called method of support
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF01883638
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 54,466
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Logic of Statistical Inference.Ian Hacking - 1976 - Cambridge University Press.
Likelihood.A. W. F. Edwards - 1972 - Cambridge University Press.
Theory of Probability.Ernest Nagel - 1940 - Journal of Philosophy 37 (19):524-528.

Add more references

Citations of this work BETA

Can the Maximum Entropy Principle Be Explained as a Consistency Requirement?Jos Uffink - 1995 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 26 (3):223-261.
Thermodynamic Uncertainty Relations.Jos Uffink & Janneke van Lith - 1999 - Foundations of Physics 29 (5):655-692.
Contextual Quantum Process Theory.Dick J. Hoekzema - 1992 - Foundations of Physics 22 (4):467-486.

Add more citations

Similar books and articles

Measurement as Inference: FundamentalIdeas.Tyler Estler - 1999 - CIRP Annals - Manufacturing Technology 48 (2):611-631.
Uncertainty, Inference Difficulty, and Probability Learning.Cameron Peterson & Z. J. Ulehla - 1964 - Journal of Experimental Psychology 67 (6):523.
Four Mathematical Expressions of the Uncertainty Relation.Toshio Ishigaki - 1991 - Foundations of Physics 21 (9):1089-1105.


Added to PP index

Total views
43 ( #228,145 of 2,374,877 )

Recent downloads (6 months)
1 ( #559,821 of 2,374,877 )

How can I increase my downloads?


My notes