This series of books is meant to present the fundamentals of reasoning well in a clear manner accessible to both scholars and students. The body of each essay gives the main development of the subject, while the footnotes and appendices place the research within a larger scholarly context. The topic of this volume is the nature and evaluation of reasoning in science and mathematics. Science and mathematics can both be understood as proceeding by a method of abstraction from experience. Mathematics is distinguished from other sciences only in its greater abstraction and its demand for necessity in its inferences. That methodology of abstraction is the main focus here. The study of these subjects is not just of academic interest. First comes clear thinking, then comes clear research and clear writing. The essays: • Background • Models and Theories • Experiments • Mathematics as the Art of Abstraction

About the Author

Richard L. Epstein received his B.A. summa cum laude at the University of Pennsylvania and his Ph.D. at the University of California, Berkeley. He held a postdoctoral fellowship in mathematics and philosophy at Victoria University of Wellington, New Zealand, before an extensive career teaching mathematics and philosophy. He has been a Fulbright Scholar to Brazil and a National Academy of Sciences Scholar to Poland. He also owned and managed the Dog & Duck Coffee House. He is the author of the series of research texts THE SEMANTIC FOUNDATIONS OF LOGIC as well as CRITICAL THINKING and FIVE WAYS OF SAYING "THEREFORE." Currently he is head of the Advanced Reasoning Forum in Socorro, New Mexico.

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