Research in History and Philosophy of Mathematics: The Cshpm 2018 Volume

ISBN-13: 9783030311964 / Angielski / Twarda / 2020 / 172 str.

Maria Zack; Dirk Schlimm

Spis treści

Rickey: Professor Bolesław Sobociǹski and Logic at Notre Dame.- Lovsted: Fred Sommers' Notations for Aristotelian Logic.- Jarry: L'equivalence duale de categories: a third way of analogy?.- Pérez-Escobar: Mathematical Modelling and Teleology in Biology.- Pelland: Arithmetic, Culture, and Attention.- Lavers: Did Frege Solve One of Zeno's Paradoxes?.- Ackerberg-Hastings: Charles Davies as a Philosopher of Mathematics Education.- Godard and De Boer: Gauss et le modèle du champ magnétique terrestre.- Barnett: A Gaussian Tale for the Classroom: Lemniscates, Arithmetic-Geometric Means, and More.- Baltus: Philippe de la Hire: Was he Desargues' Schüler? 

Blurb

This volume contains ten papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics from the seventeenth century to the modern era.

The volume begins with an exposition of the life and work of Professor Bolesław Sobociński. It then moves on to cover a collection of topics about twentieth-century philosophy of mathematics, including Fred Sommers’s creation of Traditional Formal Logic and Alexander Grothendieck’s work as a starting point for discussing analogies between commutative algebra and algebraic geometry. Continuing the focus on the philosophy of mathematics, the next selections discuss the mathematization of biology and address the study of numerical cognition. The volume then moves to discussing various aspects of mathematics education, including Charles Davies’s early book on the teaching of mathematics and the use of Gaussian Lemniscates in the classroom. A collection of papers on the history of mathematics in the nineteenth century closes out the volume, presenting a discussion of Gauss’s “Allgemeine Theorie des Erdmagnetismus” and a comparison of the geometric works of Desargues and La Hire.

Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.