Research in History and Philosophy of Mathematics: The CSHPM 2018 Volume (Proceedings of the Canadian Society for History and Philosophy of ... et de philosophie des mathématiques)

Editorial Board
Preface
Contents
Contributors
Professor Bolesław Sobociński and Logic at Notre Dame
	1 Sobociński\'s Early Life
	2 Surviving WW II
	3 Brussels
	4 College of Saint Thomas
	5 Institute for Applied Logic
	6 I. M. Bocheński
	7 Ernan McMullin
	8 Sobociński Comes to Notre Dame
	9 Founding the Notre Dame Journal of Formal Logic
	10 The End of an Era
Fred Sommers\' Notations for Aristotelian Logic
	1 Introduction
	2 Sommers on the Road to Aristotelianism
	3 The Testing Procedure Notation
	4 The Fractional Notation
	5 The Arithmetic Notation
	6 Deciding on the Arithmetic Notation
	7 Conclusion
	Bibliography
L\'équivalence duale de catégories: A Third Way of Analogy?
	1 Introduction
	2 Motivations et enjeux épistémologiques
	3 Two Ways of Analogy
		3.1 L\'approche structurelle SMT
		3.2 L\'approche axiomatique
	4 Des variétés aux schémas
	5 Équivalence duale de catégories et analogie
	6 Conclusion
	Bibliographie
Mathematical Modelling and Teleology in Biology
	1 Introduction
	2 The Brain\'s “Inner Compass”
	3 Biophysical Modelling
	4 Mathematical Modelling
	5 Simulations
	6 Mediation Between Modalities of Representation
	7 Conclusion
	References
Arithmetic, Culture, and Attention
	1 Introduction: Extended Numerical Cognition
	2 The Induction and the Limits of Externalism
	3 Spontaneous Focusing on Numerosity
	4 Attention and the Origin of Formal Numerical Cognition
	5 Conclusion
	References
Did Frege Solve One of Zeno\'s Paradoxes?
	1 Introduction
	2 The Paradox and Its Contemporary Reception
	3 Frege on the Identity of and Difference Between Units
	4 Could This Fregean Paradox Have Been Zeno\'s?
	References
Charles Davies as a Philosopher of Mathematics Education
	1 Introduction
	2 The Logic of Mathematics
	3 Mathematical Science
	4 The Utility of Mathematics
	5 Davies\'s Philosophy of Mathematics Education
	6 Conclusion
	References
Gauss et le modèle du champ magnétique terrestre
	1 Introduction
	2 Observations du champ magnétique terrestre et les instruments
	3 La théorie du potentiel gravitationnel
		3.1 L\'article de Legendre en 1782
		3.2 L\'article de Laplace en 1782 et le traité de mécanique céleste
	4 Carl Friedrich Gauss et le modèle du champ magnétique terrestre en 1839
	5 Après Gauss
	Références
A Gaussian Tale for the Classroom: Lemniscates, Arithmetic-Geometric Means, and More
	1 Introduction
	2 A Tale in Three (Mini)-Acts: The Student Projects
		2.1 A Mini-PSP on Polar Coordinates, Arc Length, and the Lemniscate Curve
		2.2 A Mini-PSP on Sequences and the Arithmetic-Geometric Mean
		2.3 A Mini-PSP on Elliptic Integrals and Integration by Substitution
	3 Some Concluding Remarks: Bringing This Tale to the Classroom
	References
Philippe de la Hire: Was He Desargues\' Schüler?
	1 Introduction
	2 A Little Background from Apollonius
	3 To 1639
	4 On the Life of La Hire
	5 Desargues
	6 A Comparison: Pole and Polar in La Hire and Desargues
	7 Was La Hire Desargues\' Schüler?
	References