The Foundations of Mathematics
| By: | Thomas Q. Sibley |
| Publisher: | Wiley Global Education US |
| Print ISBN: | 9780470085011 |
| eText ISBN: | 9780470472972 |
| Edition: | 1 |
| Copyright: | 2009 |
| Format: | Page Fidelity |
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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