ebook9783031053559d4325

Description

This volume explores A.P. Morse‚Äôs (1911-1984) development of a formal language for writing mathematics, his application of that language in set theory and mathematical analysis, and his unique perspective on mathematics. The editor brings together a variety of Morse‚Äôs works in this compilation, including Morse’s book A Theory of Sets, Second Edition (1986), in addition to material from another of Morse‚Äôs publications, Web Derivatives, and notes for a course on analysis from the early 1950’s. Because Morse provided very little in the way of explanation in his written works, the editor‚Äôs commentary serves to outline Morse‚Äôs goals, give informal explanations of Morse‚Äôs formal language, and compare Morse‚Äôs often unique approaches to more traditional approaches. Minor corrections to Morse‚Äôs previously published works have also been incorporated into the text, including some updated axioms, theorems, and definitions. The editor‚Äôs introduction thoroughly details the corrections and changes made and provides readers with valuable insight on Morse‚Äôs methods. A.P. Morse‚Äôs Set Theory and Analysis will appeal to graduate students and researchers interested in set theory and analysis who also have an interest in logic. Readers with a particular interest in Morse‚Äôs unique perspective and in the history of mathematics will also find this book to be of interest.