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Combinatorics: Ancient and Modern$
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Robin Wilson and John J. Watkins

Print publication date: 2013

Print ISBN-13: 9780199656592

Published to Oxford Scholarship Online: September 2013

DOI: 10.1093/acprof:oso/9780199656592.001.0001

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Combinatorial set theory

Combinatorial set theory

Chapter:
(p.309) Chapter 13 Combinatorial set theory
Source:
Combinatorics: Ancient and Modern
Author(s):

IAN ANDERSON

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199656592.003.0014

This chapter outlines the historical development of the study of combinatorial problems concerning finite sets, beginning with the inclusion–exclusion principle of de Moivre in the early 18th century, and finishing with the 20th-century development of a unified body of theory relating to the intersections, unions, and orderings of collections of finite sets.

Keywords:   set theory, finite sets, inclusion–exclusion principle, intersections, unions, orderings

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