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Maximum Entropy and Probability Kinematics Constrained by Conditionals Lukits, Stefan

Abstract

Two open questions of inductive reasoning are solved: (1) does the principle of maximum entropy (PME) give a solution to the obverse Majerník problem; and (2) isWagner correct when he claims that Jeffrey’s updating principle (JUP) contradicts PME? Majerník shows that PME provides unique and plausible marginal probabilities, given conditional probabilities. The obverse problem posed here is whether PME also provides such conditional probabilities, given certain marginal probabilities. The theorem developed to solve the obverse Majerník problem demonstrates that in the special case introduced by Wagner PME does not contradict JUP, but elegantly generalizes it and offers a more integrated approach to probability updating.

Item Metadata

Title
Maximum Entropy and Probability Kinematics Constrained by Conditionals
Creator
Lukits, Stefan
Publisher
Multidisciplinary Digital Publishing Institute
Date Issued
2015-03-27
Description
Two open questions of inductive reasoning are solved: (1) does the principle of maximum entropy (PME) give a solution to the obverse Majerník problem; and (2) isWagner correct when he claims that Jeffrey’s updating principle (JUP) contradicts PME? Majerník shows that PME provides unique and plausible marginal probabilities, given conditional probabilities. The obverse problem posed here is whether PME also provides such conditional probabilities, given certain marginal probabilities. The theorem developed to solve the obverse Majerník problem demonstrates that in the special case introduced by Wagner PME does not contradict JUP, but elegantly generalizes it and offers a more integrated approach to probability updating.
Subject
Probability update; Jeffrey conditioning; Principle of maximum entropy; Formal epistemology; Conditionals; Probability kinematics
Genre
Article
Type
Text
Language
eng
Date Available
2019-04-16
Provider
Vancouver : University of British Columbia Library
Rights
CC BY 4.0
DOI
10.14288/1.0378245
URI
http://hdl.handle.net/2429/69718
Affiliation
Arts, Faculty of; Philosophy, Department of
Citation
Entropy 17 (4): 1690-1700 (2015)
Publisher DOI
10.3390/e17041690
Peer Review Status
Reviewed
Scholarly Level
Faculty
Rights URI
https://creativecommons.org/licenses/by/4.0/
Aggregated Source Repository
DSpace

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CC BY 4.0