The Foundations of Mathematics

About this book

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 Gdels Theorems and philosophy of mathematics provides an unusual and valuable addition compared to other similar texts