Research in History and Philosophy of Mathematics: The CSHPM 2014 Annual Meeting in St. Catharines, Ontario (Proceedings of the Canadian Society for History ... et de philosophie des mathématiques)

This volume contains thirteen papers that were presented at the 2014 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held on the campus of Brock University in St. Catharines, Ontario, Canada. It contains rigorously reviewed modern scholarship on general topics in the history and philosophy of mathematics, as well as on the meeting’s special topic, Early Scientific Computation. These papers cover subjects such as •Physical tools used by mathematicians in the seventeenth century •The first historical appearance of the game-theoretical concept of mixed-strategy equilibrium •George Washington’s mathematical cyphering books •The development of the Venn diagram •The role of Euler and other mathematicians in the development of algebraic analysis •Arthur Cayley and Alfred Kempe’s influence on Charles Peirce's diagrammatic logic •The influence publishers had on the development of mathematical pedagogy in the nineteenth century •A description of the 1924 International Mathematical Congress held in Toronto, told in the form of a “narrated slide show” Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics. This volume contains thirteen papers that were presented at the 2014 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Soci©♭t©♭ Canadienne dĺlHistoire et de Philosophie des Math©♭matiques, held on the campus of Brock University in St. Catharines, Ontario, Canada. It contains rigorously reviewed modern scholarship on general topics in the history and philosophy of mathematics, as well as on the meetingĺls special topic, Early Scientific Computation. These papers cover subjects such as ĺØPhysical tools used by mathematicians in the seventeenth century ĺØThe first historical appearance of the game-theoretical concept of mixed-strategy equilibrium ĺØGeorge Washingtonĺls mathematical cyphering books ĺØThe development of the Venn diagram ĺØThe role of Euler and other mathematicians in the development of algebraic analysis ĺØArthur Cayley and Alfred Kempeĺls influence on Charles Peirce's diagrammatic logic ĺØThe influence publishers had on the development of mathematical pedagogy in the nineteenth century ĺØA description of the 1924 International Mathematical Congress held in Toronto, told in the form of a ĺlnarrated slide showĺl Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics This volume contains thirteen papers that were presented at the 2014 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d'Histoire et de Philosophie des Mathématiques, held on the campus of Brock University in St. Catharines, Ontario, Canada. It contains rigorously reviewed modern scholarship on general topics in the history and philosophy of mathematics, as well as on the meetingl's special topic, Early Scientific Computation. These papers cover subjects such as : Physical tools used by mathematicians in the seventeenth century; The first historical appearance of the game-theoretical concept of mixed-strategy equilibrium; George Washington's mathematical cyphering books; The development of the Venn diagram; The role of Euler and other mathematicians in the development of algebraic analysis; Arthur Cayley and Alfred Kempe's influence on Charles Peirce's diagrammatic logic; The influence publishers had on the development of mathematical pedagogy in the nineteenth century; A description of the 1924 International Mathematical Congress held in Toronto, told in the form of a "narrated slide show. Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics Front Matter....Pages i-xii Falconer’s Cryptology....Pages 1-13 Is Mathematics to Be Useful? The Case of de la Hire, Fontenelle, and the Epicycloid....Pages 15-22 The Rise of “the Mathematicals”: Placing Maths into the Hands of Practitioners—The Invention and Popularization of Sectors and Scales....Pages 23-50 Early Modern Computation on Sectors....Pages 51-61 The Eighteenth-Century Origins of the Concept of Mixed-Strategy Equilibrium in Game Theory....Pages 63-78 Reassembling Humpty Dumpty: Putting George Washington’s Cyphering Manuscript Back Together Again....Pages 79-96 Natures of Curved Lines in the Early Modern Period and the Emergence of the Transcendental....Pages 97-104 Origins of the Venn Diagram....Pages 105-119 Mathematics for the World: Publishing Mathematics and the International Book Trade, Macmillan and Co.....Pages 121-137 The Influence of Arthur Cayley and Alfred Kempe on Charles Peirce’s Diagrammatic Logic....Pages 139-148 Émile Borel et Henri Lebesgue: HPM....Pages 149-159 The Judicial Analogy for Mathematical Publication....Pages 161-170 History and Philosophy of Mathematics at the 1924 International Mathematical Congress in Toronto....Pages 171-192