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Entropic geometry from logic

Abstract:

We establish the following equation:

Quantitative Probability = Logic + Partiality of Knowledge + Entropy

I.e.: 1. A finitary probability space Δn (= all probability measures on {1,…, n}) can be fully and faithfully represented by the pair consisting of the abstraction Dn (= the object up to isomorphism) of the partially ordered set (Δn , ⊑) introduced in [3], and, Shannon entropy; 2. Dn itself can be obtained via a systematic purely...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/S1571-0661(03)50003-2

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
Publisher:
Elsevier
Journal:
Electronic Notes in Theoretical Computer Science More from this journal
Volume:
83
Pages:
39–53
Publication date:
2003-01-01
DOI:
ISSN:
1571-0661
Language:
English
Subjects:
UUID:
uuid:f9e800e9-7a7c-42f3-8fca-113b85ad5a0a
Local pid:
ora:9774
Deposit date:
2015-01-20

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