Set Theory

by John P. Burgess

Set theory is a branch of mathematics with a special subject matter, the infinite, but also a general framework for all modern mathematics, whose notions figure in every branch, pure and applied. This Element will offer a concise introduction, treating the origins of the subject, the basic notion of set, the axioms of set theory and immediate consequences, the set-theoretic reconstruction of mathematics, and the theory of the infinite, touching also on selected topics from higher set theory, controversial axioms and undecided questions, and philosophical issues raised by technical developments.

82 pages, Paperback

Published March 10, 2022

About the author

John P. Burgess (PhD, University of Chicago) is James Henry Snowden Professor of Systematic Theology at Pittsburgh Theological Seminary. He is the author of several books, including Holy Rus': The Rebirth of Orthodoxy in the New Russia, Encounters with Orthodoxy: How Protestant Churches Can Reform Themselves Again, and Why Scripture Matters: Reading the Bible in a Time of Church Conflict.