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.
...MoreBook David E. Rowe; Wann-Sheng Horng (2015) A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics: A Festschrift in Honor of Joseph W. Dauben.
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