The Foundations of Mathematics by Thomas Q. Sibley - 9780470085011

The Foundations of MathematicsAuthor(s): Thomas Q. Sibley\nFormat: Hardback\nPublisher: John Wiley & Sons Inc, United States\nImprint: John Wiley & Sons Inc\nISBN-13: 9780470085011, 978-0470085011\nSynopsis\nThe 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 Gdels Theorems, and philosophy of mathematics provides an unusual and valuable addition compared to other similar texts