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Research in History and Philosophy of Mathematics - The CSHPM 2017 Annual Meeting in Toronto, Ontario (Hardcover, 1st ed. 2018)
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Research in History and Philosophy of Mathematics - The CSHPM 2017 Annual Meeting in Toronto, Ontario (Hardcover, 1st ed. 2018)
Series: Proceedings of the Canadian Society for History and Philosophy of Mathematics/ Societe canadienne d'histoire et de philosophie des mathematiques
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This volume contains thirteen papers that were presented at the
2017 Annual Meeting of the Canadian Society for History and
Philosophy of Mathematics/Societe canadienne d'histoire et de
philosophie des mathematiques, 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 little-known 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
twentieth-century 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, anti-realist 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.
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