David Ellerman: The Logic of Partitions

Cover: 9781848904408 | The Logic of Partitions | With Two Major Applications | David Ellerman

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Sprache: Englisch

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Beschreibung

This book is an introduction to the logic of partitions on a set as well as the (quantum) logic of partitions (direct-sum decompositions or DSDs) on a vector space. Partitions of a set are categorically dual to subsets of a set. Thus the logic of partitions is, in that sense, the dual to the Boolean logic of subsets (usually presented as the special case of propositional logic).

Since partitions can be seen as the inverse image partitions of random variables or numerical attributes, partition logic is the logic of random variables or numerical attributes (abstracted from the actual values). On the lattice of partitions of an arbitrary unstructured set, there is a rich algebraic structure of dual operations of implication and co-implication - resembling a non-distributive version of Heyting and co-Heyting algebras.

Details

Erscheinungsjahr:	2023
Fachbereich:	Grundlagen
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9781848904408
ISBN-10:	1848904401
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Ellerman, David
Hersteller:	College Publications
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	234 x 156 x 11 mm
Von/Mit:	David Ellerman
Erscheinungsdatum:	05.12.2023
Gewicht:	0,31 kg