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Mathematical Encounters of the Second Kind
A number of years ago, Harriet Sheridan, then Dean of Brown University, organized a series oflectures in which individual faculty members described how it came about that they entered their various fields. I was invited to participate in this series and found in the invitation an opportunity to recall events going back to my early teens. The lecture was well received and its reception encouraged me to work up an expanded version. My manuscript lay dormant all these years. In the meanwhile, sufficiently many other mathematical experiences and encounters accumulated to make this little book. My 1981 lecture is the basis of the first piece: "Napoleon's Theorem. " Although there is a connection ...
Schools of Thought
This book is based on the assumption that the development of science has to be understood both as a social and as an intellectual process. The division between internal and external history, between history of ideas and sociology of science, has been harmful not only to our understanding of scientific rationality but also to our understanding of the social processes of scientific development. Just as philosophy of science must be informed by its history, so also must sociology of science be both historically and philosophically informed. Proceeding on this assumption, I examine in detail the contents of linguistic ideas and the changes they underwent, as well as the institutional processes o...
Guide to Byzantine Historical Writing
This handy reference guide makes it easier to access and understand histories written in Greek between 600 and 1480 CE. Covering classicizing histories that continued ancient Greek traditions of historiography, sweeping, fast-paced 'chronicle' type histories, and dozens of idiosyncratic historical texts, it distills the results of complex, multi-lingual, specialist scholarship into clear explanations of the basic information needed to approach each medieval Greek history. It provides a sound basis for further research on each text by describing what we know about the time of composition, content covered by the history, authorship, extant manuscripts, previous editions and translations, and basic bibliography. Even-handed explanations of scholarly debates give readers the information they need to assess controversies independently. A comprehensive introduction orients students and non-specialists to the traditions and methods of Byzantine historical writing. It will prove an invaluable timesaver for Byzantinists and an essential entry point for classicists, western medievalists, and students.
