Research in History and Philosophy of Mathematics
The CSHPM 2017 Annual Meeting in Toronto, Ontario
Editors: Zack, Maria, Schlimm, Dirk (Eds.)
Free Preview Contains rigorously reviewed scholarly works on the history and philosophy of mathematics from a variety of time periods and cultures
 Contributions are written by the leading scholars in the field
 Will be accessible to anyone with a general interest in mathematics, not just students and academics
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 About this book

This volume contains thirteen papers that were presented at the 2017 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques, which was held at Ryerson University in Toronto. It showcases rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics from Ancient Greece to the twentieth century.
A series of chapters all set in the eighteenth century consider topics such as John Marsh’s techniques for the computation of decimal fractions, Euler’s efforts to compute the surface area of scalene cones, a littleknown work by John Playfair on the practical aspects of mathematics, and Monge’s use of descriptive geometry.
After a brief stop in the nineteenth century to consider the culture of research mathematics in 1860s Prussia, the book moves into the twentieth century with an examination of the historical context within which the Axiom of Choice was developed and a paper discussing Anatoly Vlasov’s adaptation of the Boltzmann equation to ionized gases.The remaining chapters deal with the philosophy of twentiethcentury mathematics through topics such as an historically informed discussion of finitism and its limits; a reexamination of Mary Leng’s defenses of mathematical fictionalism through an alternative, antirealist approach to mathematics; and a look at the reasons that mathematicians select specific problems to pursue.
Written by leading scholars in the field, these papers are accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.
 Table of contents (13 chapters)


The Definitions and Theorems of the Spherics of Theodosios
Pages 121

John Marsh and the Curious World of Decimal Arithmetic
Pages 2342

Euler’s Discovery and Resolution of D’Alembert’s Paradox
Pages 4357

Euler’s Work on the Surface Area of Scalene Cones
Pages 5967

What Mathematics Rittenhouse Knew
Pages 6989

Table of contents (13 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Research in History and Philosophy of Mathematics
 Book Subtitle
 The CSHPM 2017 Annual Meeting in Toronto, Ontario
 Editors

 Maria Zack
 Dirk Schlimm
 Series Title
 Proceedings of the Canadian Society for History and Philosophy of Mathematics/ Société canadienne d’histoire et de philosophie des mathématiques
 Copyright
 2018
 Publisher
 Birkhäuser Basel
 Copyright Holder
 Springer International Publishing AG, part of Springer Nature
 eBook ISBN
 9783319909837
 DOI
 10.1007/9783319909837
 Hardcover ISBN
 9783319908557
 Series ISSN
 23663308
 Edition Number
 1
 Number of Pages
 XIII, 203
 Number of Illustrations
 10 b/w illustrations, 29 illustrations in colour
 Topics