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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Book Title
On Cantor and the Transfinite
ISBN
9781634623278
Publication Year
2023
Type
Textbook
Format
Trade Paperback
Language
English
Subject Area
Mathematics
Publication Name
On Cantor and the Transfinite
Author
Chris Date
Publisher
Technics Publications, LLC
Subject
General
Number of Pages
VIII, 138 Pages

About this product

Product Information

A set in mathematics is just a collection of elements; an example is the set of natural numbers {1, 2, 3, ...}. Simplifying somewhat, the theory of sets can be regarded as the foundation on which the whole of mathematics is built; and the founder of set theory is the German logician and mathematician Georg Cantor (1845 1918). However, the aspect of Cantor's work that's most widely known-or most controversial, at any rate-isn't so much set theory in general, but rather those parts of that theory that have to do with infinite sets in particular. Cantor claimed among other things that the infinite set of real numbers contains strictly more elements than the infinite set of natural numbers. From this result, he concluded that there's more than one kind of infinity; in fact, he claimed that there are an infinite number of different infinities, or transfinite numbers. (He also believed these results had been communicated to him by God.) The aim of this book is to explain and investigate these claims of Cantor's in depth (and question them, where appropriate). It's not a textbook, though; instead, it's a popular account-it tells a story-and the target audience is interested lay readers, not mathematicians or logicians. What little mathematics is needed to understand the story is explained in the book itself.

Product Identifiers

Publisher
Technics Publications, LLC
ISBN-10
1634623274
ISBN-13
9781634623278
eBay Product ID (ePID)
26059039799

Product Key Features

Publication Year
2023
Subject
General
Number of Pages
VIII, 138 Pages
Language
English
Publication Name
On Cantor and the Transfinite
Type
Textbook
Subject Area
Mathematics
Author
Chris Date
Format
Trade Paperback

Additional Product Features

LCCN
2023-931249
Target Audience
Scholarly & Professional
Illustrated
Yes
Lc Classification Number
Qa248.D265 2023

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