The Logic of Partitions: With Two Major Applications - Softcover

Ellerman, David

 
9781848904408: The Logic of Partitions: With Two Major Applications
Softcover
ISBN 10: 1848904401 ISBN 13: 9781848904408
Verlag: College Publications, 2023

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
College Publications
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
1848904401
ISBN 13 
9781848904408
Einband
Taschenbuch
Anzahl der Seiten
198
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Deutschland