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A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of MathematicsDespite Kempe, the Modest Place of Multisets and Multiclasses in Foundational Theories

A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of... [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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of MathematicsDespite Kempe, the Modest Place of Multisets and Multiclasses in Foundational Theories

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Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2015
ISBN
978-3-319-12029-4
Pages
51 –63
DOI
10.1007/978-3-319-12030-0_3
Publisher site
See Chapter on Publisher Site

Abstract

[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.]

Published: May 13, 2015

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