Linguistique de l’écrit

Revue internationale en libre accès

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192017

Research in history and philosophy of mathematics

the CSHPM 2017 annual meeting in Toronto, Ontario

Édité parMaria Zack Dirk Schlimm

Résumé

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.

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.

Détails | Table des matières

The definitions and theorems of the spherics of theodosios R S D Thomas

pp.1-21

https://doi.org/10.1007/978-3-319-90983-7_1
John Marsh and the curious world of decimal arithmetic Duncan J. Melville

pp.23-42

https://doi.org/10.1007/978-3-319-90983-7_2
Euler's discovery and resolution of d'Alembert's paradox William W. Hackborn

pp.43-57

https://doi.org/10.1007/978-3-319-90983-7_3
Euler's work on the surface area of scalene cones Daniel J. Curtin

pp.59-67

https://doi.org/10.1007/978-3-319-90983-7_4
What mathematics Rittenhouse knew Marion W. Alexander

pp.69-89

https://doi.org/10.1007/978-3-319-90983-7_5
John Playfair's approach to "the practical parts of the mathematics" Amy Ackerberg-Hastings

pp.91-107

https://doi.org/10.1007/978-3-319-90983-7_6
Monge's descriptive geometry in three examples Christopher Baltus

pp.109-120

https://doi.org/10.1007/978-3-319-90983-7_7
The culture of research mathematics in 1860s Prussia

Adolph Mayer and the theory of the second variation in the calculus of variations

Craig Fraser

pp.121-140

https://doi.org/10.1007/978-3-319-90983-7_8
The axiom of choice as paradigm shift

the case for the distinction between the ontological and the methodological crisis in the foundations of mathematics

Valérie Lynn Therrien

pp.141-155

https://doi.org/10.1007/978-3-319-90983-7_9
Boltzmann et Vlasov Roger Godard

pp.157-166

https://doi.org/10.1007/978-3-319-90983-7_10
Takeuti's well-ordering proof

finitistically fine?

Eamon Darnell Aaron Thomas-Bolduc

pp.167-180

https://doi.org/10.1007/978-3-319-90983-7_11
A non-error theory approach to mathematical fictionalism Phil Bériault

pp.181-189

https://doi.org/10.1007/978-3-319-90983-7_12
Mathematical problem choice and the contact of minds Zoe Ashton

pp.191-203

https://doi.org/10.1007/978-3-319-90983-7_13

Détails de la publication

Maison d'édition: Birkhäuser

Lieu de publication: Basel

Année: 2018

Pages: 203

Collection: Proceedings of the Canadian Society for History and Philosophy of Mathematics/ Société canadienne d’histoire et de philosophie des mathématiques

ISBN (hardback): 978-3-319-90855-7

ISBN (digital): 978-3-319-90983-7

Citation complète:

Zack Maria, Schlimm Dirk (éd.), 2018, Research in history and philosophy of mathematics: the CSHPM 2017 annual meeting in Toronto, Ontario. Basel, Birkhäuser.