Thomas McGaffey

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All published works

Action	Title	Year	Authors
+ PDF Chat	Cauchy’s Infinitesimals, His Sum Theorem, and Foundational Paradigms	2017	Tiziana Bascelli Piotr Błaszczyk Alexandre Borovik Vladimir Kanovei Karin U. Katz Mikhail G. Katz S. S. Kutateladze Thomas McGaffey David Schaps David Sherry
+	Cauchy, infinitesimals and ghosts of departed quantifiers	2017	Jacques Bair Piotr Błaszczyk R. Ely Valérie Henry Vladimir Kanovei Kalman Katz Mikhail G. Katz Taras Kudryk S. S. Kutateladze Thomas McGaffey
+ PDF Chat	Interpreting the Infinitesimal Mathematics of Leibniz and Euler	2016	Jacques Bair Piotr Błaszczyk R. Ely Valérie Henry Vladimir Kanovei Karin U. Katz Mikhail G. Katz S. S. Kutateladze Thomas McGaffey Patrick Reeder
+	Is mathematical history written by the victors	2013	Jacques Bair Valérie Henry Piotr Błaszczyk R. Ely Vladimir Kanovei Karin U. Katz Mikhail G. Katz S. S. Kutateladze Thomas McGaffey David Schaps
+	Is mathematical history written by the victors	2013	Jacques Bair Piotr Błaszczyk R. Ely Valérie Henry Vladimir Kanovei Karin U. Katz Mikhail G. Katz S. S. Kutateladze Thomas McGaffey David Schaps
+	Is mathematical history written by the victors?	2013	Jacques Bair Piotr Błaszczyk R. Ely Valérie Henry Vladimir Kanovei Karin U. Katz Mikhail G. Katz S. S. Kutateladze Thomas McGaffey David Schaps

Common Coauthors

Coauthor	Papers Together
S. S. Kutateladze	6
Vladimir Kanovei	6
David Schaps	6
Mikhail G. Katz	6
Piotr Błaszczyk	6
David Sherry	5
Valérie Henry	5
R. Ely	5
Jacques Bair	5
Karin U. Katz	5
Steven Shnider	4
Patrick Reeder	1
Thomas Mormann	1
Tiziana Bascelli	1
Alexandre Borovik	1
Taras Kudryk	1
Kalman Katz	1
David D. Sherry	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Who Gave You the Cauchy–Weierstrass Tale? The Dual History of Rigorous Calculus	2011	Alexandre Borovik Mikhail G. Katz	5
+ PDF Chat	Almost Equal: the Method of Adequality from Diophantus to Fermat and Beyond	2013	Mikhail G. Katz David Schaps Steven Shnider	4
+	Hidden lemmas in Euler's summation of the reciprocals of the squares	1997	Mark McKinzie Curtis Tuckey	4
+ PDF Chat	Ten Misconceptions from the History of Analysis and Their Debunking	2012	Piotr Błaszczyk Mikhail G. Katz David Sherry	4
+	Differentials and differential coefficients in the Eulerian foundations of the calculus	2004	Giovanni Ferraro	4
+	Non-standard analysis	1966	Abraham Robinson	4
+	The Concepts of the Calculus	1940	William E. Byrne Carl B. Boyer	3
+ PDF Chat	Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond	2012	Mikhail G. Katz David Sherry	3
+ PDF Chat	Infinitesimals, Imaginaries, Ideals, and Fictions	2012	David Sherry Mikhail G. Katz	3
+	What numbers could not be	1984	Paul Benacerraf	3
+	Is mathematical history written by the victors	2013	Jacques Bair Valérie Henry Piotr Błaszczyk R. Ely Vladimir Kanovei Karin U. Katz Mikhail G. Katz S. S. Kutateladze Thomas McGaffey David Schaps	3
+	Fermat, Leibniz, Euler, and the Gang: The True History of the Concepts of Limit and Shadow	2014	Tiziana Bascelli Emanuele Bottazzi Frederik Herzberg Vladimir Kanovei Karin U. Katz Mikhail G. Katz Tahl Nowik David Sherry Steven Shnider	3
+	Philosophy of mathematics and mathematical practice in the seventeenth century	1996	Paolo Mancosu	3
+	The correctness of Euler's method for the factorization of the sine function into an infinite product	1988	Vladimir Kanovei	3
+ PDF Chat	Elementary calculus : an infinitesimal approach	2009	Osvaldo Jorge Galardo	3
+	Nonstandard Analysis, Infinitesimals, and the History of Calculus	2015	Craig Fraser	3
+ PDF Chat	Leibniz versus Ishiguro: Closing a Quarter Century of Syncategoremania	2016	Tiziana Bascelli Piotr Błaszczyk Vladimir Kanovei Karin U. Katz Mikhail G. Katz David Schaps David Sherry	3
+	What Numbers Could not Be	1965	Paul Benacerraf	3
+ PDF Chat	Controversies in the Foundations of Analysis: Comments on Schubring’s Conflicts	2015	Piotr Błaszczyk Vladimir Kanovei Mikhail G. Katz David Sherry	3
+	Infinitely small quantities in Cauchy's textbooks	1987	Detlef Laugwitz	3
+	Definite values of infinite sums: Aspects of the foundations of infinitesimal analysis around 1820	1989	Detlef Laugwitz	3
+ PDF Chat	Euler’s Lute and Edwards’s Oud	2015	Vladimir Kanovei Karin U. Katz Mikhail G. Katz David Sherry	3
+ PDF Chat	Cauchy's Continuum	2011	Karin U. Katz Mikhail G. Katz	3
+ PDF Chat	Rings of real-valued continuous functions. I	1948	Edwin Hewitt	3
+ PDF Chat	Differential geometry via infinitesimal displacements	2015	Tahl Nowik Mikhail G. Katz	2
+	RÉSUMÉ DES LEÇONS DONNÉES A L'ÉCOLE ROYALE POLYTECHNIQUE SUR LE CALCUL INFINITÉSIMAL	2009	Augustin-Louis Cauchy	2
+ PDF Chat	Interpreting the Infinitesimal Mathematics of Leibniz and Euler	2016	Jacques Bair Piotr Błaszczyk R. Ely Valérie Henry Vladimir Kanovei Karin U. Katz Mikhail G. Katz S. S. Kutateladze Thomas McGaffey Patrick Reeder	2
+	Reverse formalism 16	2017	Sam Sanders	2
+	Zur Geschichte der Mathematik in Alterthum und Mittelalter	1874	Hermann Hankel Joseph Ehrenfried Hofmann	2
+ PDF Chat	From Pythagoreans and Weierstrassians to True Infinitesimal Calculus	2017	Mikhail G. Katz Luie Polev	2
+	Differentials, higher-order differentials and the derivative in the Leibnizian calculus	1974	H Bos	2
+	Mathematics as a Numerical Language	1970	Errett Bishop	2
+ PDF Chat	Toward a History of Mathematics Focused on Procedures	2016	Piotr Błaszczyk Vladimir Kanovei Karin U. Katz Mikhail G. Katz S. S. Kutateladze David Sherry	2
+	Approaches to analysis with infinitesimals following Robinson, Nelson, and others	2017	Peter Fletcher Karel Hrbáček Vladimir Kanovei Mikhail G. Katz Claude Lobry Sam Sanders	2
+ PDF Chat	Gregory’s Sixth Operation	2016	Tiziana Bascelli Piotr Błaszczyk Vladimir Kanovei Karin U. Katz Mikhail G. Katz S. S. Kutateladze Tahl Nowik David Schaps David Sherry	2
+ PDF Chat	Internal set theory: A new approach to nonstandard analysis	1977	Edward Nelson	2
+	Introductio in analysin infinitorum	1967	Leonhard Euler	2
+	Hidden lemmas in the early history of infinite series	1987	Detlef Laugwitz	2
+	One of Berkeley’s arguments on compensating errors in the calculus	2010	Kirsti Andersen	2
+ PDF Chat	Synthetic Differential Geometry	2006	Anders Kock	2
+	Cauchy et le cours d'analyse de l'Ecole polytechnique	1989	Christian Gilain	2
+	Cauchy and the infinitely small	1978	Gordon Fisher	2
+	The Rise of non-Archimedean Mathematics and the Roots of a Misconception I: The Emergence of non-Archimedean Systems of Magnitudes	2005	Philip Ehrlich	2
+ PDF Chat	Why Is There Philosophy of Mathematics At All?	2014	Ian Hacking	2
+	The wake of Berkeley's analyst: Rigor mathematicae?	1987	David Sherry	2
+	A short life of Euler	2008	Jeremy Gray	2
+	Exceptions and counterexamples: Understanding Abel's comment on Cauchy's Theorem	2005	Henrik Kragh Sørensen	2
+ PDF Chat	Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics	2012	Vladimir Kanovei Mikhail G. Katz Thomas Mormann	2
+ PDF Chat	Euler’s definition of the derivative	2007	Harold M. Edwards	2
+	Did Weierstrass’s differential calculus have a limit-avoiding character? His definition of a limit in<b>ϵ</b>–<b>δ</b>style	2013	Michiyo Nakane	2