Chapter ID: CBB368065302

Despite Kempe, the Modest Place of Multisets and Multiclasses in Foundational Theories (2015)


Mankind has always dealt with collections of things, and in connection especially with logics, mathematics and philosophy the theories of collections have required explicit attention. Two theories have prevailed. From antiquity part-whole theories emerged in which, say, the collection of Kenyan women is a part (maybe empty, maybe the whole) of the collections of Kenyans and of women. I reserve “classes” to name this type of collection, to which the name “mereology” is often attached.

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Authors & Contributors
Abeles, Francine F.
Calosi, Claudio
Hanke, Miroslav
Peden, Knox
Fuller, Mark E.
Simons, Peter
History and Philosophy of Logic
British Journal for the History of Philosophy
The Review of Modern Logic
Revue d'Histoire des Sciences
Revue d'Histoire des Mathématiques
Logica Universalis
Springer International Publishing
Oxford University Press
Lonely Scholar Scientific Books
de Gruyter
Cork University Press
Philosophy of science
Philosophy of mathematics
Leibniz, Gottfried Wilhelm von
Gödel, Kurt
Boole, George
Bolzano, Bernard
Eusebius Amort
Tarski, Alfred
Time Periods
19th century
20th century
18th century
20th century, late
Early modern
North America
Great Britain

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