David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
The Reasoner 3 (7):4-5 (2009)
A new logic of partitions has been developed that is dual to ordinary logic when the latter is interpreted as the logic of subsets of a fixed universe rather than the logic of propositions. For a finite universe, the logic of subsets gave rise to finite probability theory by assigning to each subset its relative size as a probability. The analogous construction for the dual logic of partitions gives rise to a notion of logical entropy that is precisely related to Claude Shannon's entropy. In this manner, the new logic of partitions provides a logico-conceptual foundation for information-theoretic entropy or information content.
|Keywords||partition logic logical entropy|
|Categories||categorize this paper)|
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
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
J. M. Henle (1995). The Consistency of One Fixed Omega. Journal of Symbolic Logic 60 (1):172-177.
Johan van Benthem, Maricarmen Martinez, David Israel & John Perry, The Stories of Logic and Information.
Jan van Eijck & Fer-Jan de Vries (1995). Reasoning About Update Logic. Journal of Philosophical Logic 24 (1):19-45.
Nobo Komagata (2003). Information Structure in Subordinate and Subordinate-Like Clauses. Journal of Logic, Language and Information 12 (3):301-318.
Johan van Benthem (2011). Logical Dynamics of Information and Interaction. Cambridge University Press.
Edwin Mares (2010). The Nature of Information: A Relevant Approach. Synthese 175 (1):111 - 132.
Alan Hájek (2001). Probability, Logic, and Probability Logic. In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic. Blackwell Publishers 362--384.
David Ellerman (2010). The Logic of Partitions: Introduction to the Dual of the Logic of Subsets. Review of Symbolic Logic 3 (2):287-350.
David Ellerman (2009). Counting Distinctions: On the Conceptual Foundations of Shannon's Information Theory. Synthese 168 (1):119 - 149.
Added to index2009-05-29
Total downloads15 ( #199,203 of 1,777,948 )
Recent downloads (6 months)2 ( #205,717 of 1,777,948 )
How can I increase my downloads?