A Non-Standard Analysis of a Cultural Icon: The Case of Paul Halmos

Piotr Błaszczyk, Alexandre Borovik, Vladimir Kanovei, Mikhail G. Katz, Taras Kudryk, S. S. Kutateladze, David Sherry

Type: Article

Publication Date: 2016-07-06

Citations: 10

DOI: https://doi.org/10.1007/s11787-016-0153-0

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Logica Universalis - View
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Works That Cite This (9)

Action	Title	Year	Authors
+	Approaches to analysis with infinitesimals following Robinson, Nelson, and others	2017	Peter Fletcher Karel Hrbáček Vladimir Kanovei Mikhail G. Katz Claude Lobry Sam Sanders
+ 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
+ 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
+	On mathematical realism and applicability of hyperreals	2019	Emanuele Bottazzi Vladimir Kanovei Mikhail G. Katz Thomas Mormann David Sherry
+ 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
+ PDF Chat	From Pythagoreans and Weierstrassians to True Infinitesimal Calculus	2017	Mikhail G. Katz Luie Polev
+ PDF Chat	An Expository on Some Nonstandard Compactifications	2021	Alagu Somasundaram Rukhmoni Kala
+ PDF Chat	Gregory’s Sixth Operation	2019	Tiziana Bascelli Piotr Błaszczyk Vladimir Kanovei Karin U. Katz Mikhail G. Katz S. S. Kutateladze Tahl Nowik David Schaps David D. Sherry
+ PDF Chat	Gregory’s Sixth Operation	2019	Tiziana Bascelli Piotr Błaszczyk Vladimir Kanovei Karin U. Katz Mikhail G. Katz S. S. Kutateladze Tahl Nowik David Schaps David D. Sherry

Works Cited by This (24)

Action	Title	Year	Authors
+	Nonstandard Methods in Commutative Harmonic Analysis	1997	E. I. Gordon
+ PDF Chat	I Want to Be a Mathematician: An Automathography.	1987	Gian‐Carlo Rota Paul R. Halmos
+	Non-standard analysis	1966	Abraham Robinson
+ PDF Chat	Rings of real-valued continuous functions. I	1948	Edwin Hewitt
+ PDF Chat	Conversion from nonstandard to standard measure spaces and applications in probability theory	1975	Peter A. Loeb
+	Invariant Subspaces of Completely Continuous Operators	1954	N. Aronszajn K. T. Smith
+	Invariant subspaces for the family of operators which commute with a completely continuous operator	1974	Victor Lomonosov
+ PDF Chat	Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos	1966	Allen R. Bernstein Abraham Robinson
+ PDF Chat	Invariant subspaces of polynomially compact operators	1966	Paul R. Halmos
+ PDF Chat	A Burgessian Critique of Nominalistic Tendencies in Contemporary Mathematics and its Historiography	2011	Karin U. Katz Mikhail G. Katz