Discrete Mathematics: Chapter 5, Set Theory & Infinity

Document Type

Book Chapter

Publication Date

1-2016

Department

Mathematics, Statistics, and Computer Science

Keywords

set theory, infinity, Georg Cantor, Richard Dedekind, logic

Abstract

In this chapter we will explore the notion of cardinality or numerosity from a more theoretical perspective. And our focus here will be on infinite sets: what distinguishes them from finite sets, and what distinguishes them from one another. This is the central topic that initiated the development of Set Theory by the German mathematicians Cantor and Dedekind in the last quarter of the nineteenth century, from 1872 – 1897.

Comments

This material is no longer available for download. A revised, improved version is now available as a chapter of Introduction to Discrete Mathematics via Logic and Proof (see https://www.springer.com/us/book/9783030253578), published by Springer as part of their Undergraduate Texts in Mathematics series.

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