"...the categorical approach to mathematics has never been presented with greater conviction than it has in this book. The authors show that the use of categories in analyzing the set concept is not only natural, but inevitable." Mathematical Reviews
"To learn set theory this way means not having to relearn it later.... Recommended." Choice
Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. For the first time in a text, this book uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematically andphysically common phenomena and advancing to a precise specification of the nature of Categories of Sets. An Appendix provides an explicit introduction to necessary concepts from logic, and an extensive Glossary provides a window to the mathematical landscape.