Mathematics and the Historian's Craft: The Kenneth O. May Lectures

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Glen van Brummelen, Michael Kinyon
Springer Science & Business Media, Jun 14, 2005 - Mathematics - 357 pages
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1974 was a turning point for the history and philosophy of mathematics in North America. After years of planning, the ?rst issue of the new journal Historia Mathematica was printed. While academic journals are born and die all the time, it was soon clear that Historia Mathematica would be a major factor in shaping an emerging discipline; shortly, it became a backbone for a globalnetworkofprofessionalhistoriansofmathematics. Inthesameyear,the Canadian Society for History and Philosophy of Mathematics (CSHPM) was founded, adopting Historia Mathematica as its o?cial journal. (In the 1990s, theCSHPMrecognizeditsbroadermissionbynamingPhilosophia Mathem- ica as its o?cial philosophical journal, rechristening Historia Mathematica as its historical journal. ) Initially consisting almost entirely of Canadian m- bers, the CSHPM has become in practice the North American society for the scholarly pursuit of history and philosophy of mathematics. The joint est- lishment of society and journal codi?ed and legitimized the ?eld, commencing what has become a renaissance of activity for the past 30 years. These initiatives were begun by, and received much stimulus from, one man: Kenneth O. May, of the Institute for History and Philosophy of Science and Technology at the University of Toronto. May was a brilliant researcher, but he recognized that the viability of the ?edging discipline required - ministrative leadership as well. In the introduction that follows, Amy Shell- Gellasch,CSHPMarchivist,describesMay’slifeandsomeofhisachievements.
  

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Contents

History or Heritage? An Important Distinction in Mathematics and for Mathematics Education
7
Ptolemys Mathematical Models and their Meaning
23
Mathematics Instruments and Navigation 16001800
43
Was Newtons Calculus a Dead End? The Continental Influence of Maclaurins Treatise of Fluxions
57
The Mathematics and Science of Leonhard Euler 17071783
81
Mathematics in Canada before 1945 A Preliminary Survey
141
The Emergence of the American Mathematical Research Community
183
19th Century Logic Between Philosophy and Mathematics
203
The Battle for Cantorian Set Theory
221
Hilbert and his TwentyFour Problems
243
Turing and the Origins of AI
297
Mathematics and Gender Some CrossCultural Observations
329
Index
347
Copyright

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