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Discovering Modern Set Theory. I: The Basics (Graduate Studies in Mathematics, Vol 8) (Pt.1) (Graduate Studies in Mathematics, 8) by Winfried Just, Martin Weese is a nonfiction available to read on EtoBox.

What is Discovering Modern Set Theory. I: The Basics (Graduate Studies in Mathematics, Vol 8) (Pt.1) (Graduate Studies in Mathematics, 8) about?

Set theory presents many unusual challenges to the mathematician who wishes to pursue independent study of the subject at an advanced level. All mathematicians learn enough "naive" set theory to get by in their undergraduate and graduate coursework, and there is no shortage of good introductory texts in that subject. But when one decides to take the next step and study more formal, axiomatic set theory (specifically, Zermelo-Fraenkel set theory with the Axiom of Choice, or ZFC), the situation becomes far more challenging. The primary problem is the difficult, circular relationship between formal mathematical logic and axiomatic set theory. One simply cannot attempt a serious study of ZFC as a formal system without having the requisite background in first-order mathematical logic; but one quickly learns that it is impossible to understand any of the good introductions to mathematical logic without having a considerable background in not-so-naive set theory! Set theory serves a perplexing dual role as (1) an example of a formal axiomatic system of considerable interest in its own right, and (2) the source of all the formal models than one builds in mathematical logic to show that var

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Author

Winfried Just, Martin Weese

Publisher

American Mathematical Society

Published

1995

Language

EN

ISBN

9780821805282

Category

nonfiction

Subjects

Mathematics, Education, Stem