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The American journal of science and arts
This book discusses a famous problem that helped to define the field now known as topology: What is the minimum number of colors required to print a map so that no two adjoining countries have the same color? This problem remained unsolved until the 1950s, when it was finally cracked using a computer. This book discusses the history and mathematics of the problem, as well as the philosophical debate which ensued, regarding the validity of computer generated proofs.
Presents Whiteheads lectures at Harvard during the 19245 academic year: the first philosophy lectures he ever gaveBeginning in September of 1924, Alfred North Whitehead presented a regular course of 85 lectures which concluded in May of 1925. These represent the first ever philosophy lectures he gave and capture him working out the philosophical implications of the remarkable turns physics had taken in his lifetime. This volume finally recreates these lectures by transcribing notes by W. P. Bell, W. E. Hocking and Louise Heath taken at the time many of which have only recently been discovered and including hundreds of sketches of Whitehead's blackboard diagrams. This is a unique insight into the evolution of Whiteheads thought during the months when he was drafting his seminal work, Science and the Modern World. Includes transcriptions of the lecture notes, a chronology, over 300 line drawings of Whiteheads blackboard sketches, a bibliography of referenced works and an index to the lecturesGives an overview of the content of the 85 lecturesClarifies how these lectures represent Whiteheads philosophical insightsDescribes the circumstances that preserved the three sets of notes