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# Naive Set Theory

by

Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and
...more

## Get A Copy

Hardcover, 104 pages

Published
January 16th 1998
by Springer
(first published 1960)

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## Community Reviews

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Sep 10, 2015
Bryce Woodworth
rated it
really liked it

Recommends it for:
Beginning Mathematicians

Shelves:
technical

Good introduction to set theory. Pretty terse in terms of proofs, leaving a lot of steps up to the reader, which I like. Each section is only about 2 pages, but manages to cover a good amount of intuition. Focuses largely on how set theory is used as a basis for modern mathematics, and in particular how to build up a structure with the properties of the natural numbers, including order. Set theory is vital to know in modern mathematics, but you almost certainly don't need the level of depth this
...more

Jun 27, 2019
Josh Taylor
rated it
liked it
·
review of another edition

Shelves:
little-schemer,
expository

Did not totally finish. In the final few chapters, the theories got a little too complex for my current mathematical abilities. Perhaps one day I shall revisit this and be able to understand the manipulate the content more.

However I walked away with the basics of set theory: sets, inclusion, specification, relations, functions, numbers, unions, intersections, powers. The foundations of mathematics. Bears an eerie resemblance to LISP.

The author's style was stylish, so to speak. Some of the ...more

However I walked away with the basics of set theory: sets, inclusion, specification, relations, functions, numbers, unions, intersections, powers. The foundations of mathematics. Bears an eerie resemblance to LISP.

The author's style was stylish, so to speak. Some of the ...more

Jun 03, 2017
Joel
rated it
it was amazing
·
review of another edition

Shelves:
mathematics,
to-read-2017

This book is brilliant. Simply brilliant. It is so much more than a math textbook. It is a glimpse of how mathematics, and mathematicians, work.

The operative word in the title is “Naïve”. As the author explains in the introduction, it means that he takes a somewhat informal approach to axioms and proofs, but as also stated in the introduction, the book is axiomatic in that he does state axioms and use them in subsequent proofs. The way it is unlike other formal axiomatic books is that axioms ...more

The operative word in the title is “Naïve”. As the author explains in the introduction, it means that he takes a somewhat informal approach to axioms and proofs, but as also stated in the introduction, the book is axiomatic in that he does state axioms and use them in subsequent proofs. The way it is unlike other formal axiomatic books is that axioms ...more

So the most noticeable thing is that it's only 115 pages, so I'm assuming there's a lot it doesn't cover. Though I'd imagine a lot of the shortness comes also from being naive set theory, rather than a fully rigorous treatment of axiomatic set theory. Also, there are only one or two exercises per chapter.

The best part was the minor bits of contextual information. such ...more

I should also mention that it is only after reading this book that I realize how wrong I was in my idea of what a 'relation' in 'relational database' meant.

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