The Logic of Partitions: With Two Major Applications - Brossura

Ellerman, David

 
9781848904408: The Logic of Partitions: With Two Major Applications
Brossura
ISBN 10: 1848904401 ISBN 13: 9781848904408
Casa editrice: College Publications, 2023

Sinossi

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.


Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Editore
College Publications
Data di pubblicazione
2023
Lingua
Inglese
ISBN 10 
1848904401
ISBN 13 
9781848904408
Rilegatura
Copertina flessibile
Numero di pagine
198
Contatto del produttore
non disponibile
Persona responsabile
non disponibile