Counting distinctions: on the conceptual foundations of Shannon's information theory

DOI10.1007/s11229-008-9333-7zbMath1223.94013arXiv0902.1790OpenAlexW3123155440MaRDI QIDQ1036041

David P. Ellerman

Publication date: 4 November 2009

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1790

zbMATH Keywords

information theoryShannon entropylogic of partitionslogical entropysubset logic

Mathematics Subject Classification ID

Other nonclassical logic (03B60) Categorical logic, topoi (03G30) Information theory (general) (94A15)

Related Items (7)

Four ways from universal to particular: how Chomsky’s principles-and-parameters model is not selectionist ⋮ Logical entropy and aggregation of fuzzy orthopartitions ⋮ Quantum mechanics over sets: a pedagogical model with non-commutative finite probability theory as its quantum probability calculus ⋮ Logical entropy of dynamical systems ⋮ THE LOGIC OF PARTITIONS: INTRODUCTION TO THE DUAL OF THE LOGIC OF SUBSETS ⋮ AN INTRODUCTION TO LOGICAL ENTROPY AND ITS RELATION TO SHANNON ENTROPY ⋮ Follow the math! : the mathematics of quantum mechanics as the mathematics of set partitions linearized to (Hilbert) vector spaces

Cites Work

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• A Mathematical Theory of Communication
• Towards a unifying approach to diversity measures: bridging the gap between the Shannon entropy and Rao's quadratic index
• Diversity and dissimilarity coefficients: A unified approach
• On an axiomatic derivation of Gini diversity, with applications
• Possible generalization of Boltzmann-Gibbs statistics.
• Diversity as a Concept and its Measurement
• On the theory of random search
• Measurement of Diversity

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