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The Foundations of Mathematics, 1st Edition
The Foundations of Mathematics, 1st Edition
Thomas Q. Sibley
ISBN: 978-0-470-08501-1
©2009
392 pages
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Description  |  Table of Contents  |  Detailed Contents  |  Hallmark Features
Description
The Foundations of Mathematics provides a careful introduction to proofs in mathematics, along with basic concepts of logic, set theory and other broadly used areas of mathematics.  The concepts are introduced in a pedagogically effective manner without compromising mathematical accuracy and completeness.  Thus, in Part I students explore concepts before they use them in proofs.  The exercises range from reading comprehension questions and many standard exercises to proving more challenging statements, formulating conjectures and critiquing a variety of false and questionable proofs.  The discussion of metamathematics, including Gödel’s Theorems, and philosophy of mathematics provides an unusual and valuable addition compared to other similar texts  

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