Modern Infinitesimals as a Tool to Match Intuitive and Formal Reasoning in Analysis: Dedicated to the Memory of G. Reeb and J. L. Callot [Book Review]

&
Synthese 134 (1/2):325 - 351 (2003)
  Copy   BIBTEX

Abstract

We discuss various ways, which have been plainly justified in the second half of the twentieth century, to introduce infinitesimals, and we consider the new style of reasoning in mathematical analysis that they allow

Categories

Keywords

Reprint years

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,202

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Modern infinitesimals as a tool to match intuitive and formal reasoning in analysis.Robert Lutz & Luis Gonzaga Luis Gonzaga - 2003 - Synthese 134 (1-2):325 - 351.
Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond. [REVIEW]Mikhail G. Katz & David Sherry - 2013 - Erkenntnis 78 (3):571-625.
Leibniz's syncategorematic infinitesimals, smooth infinitesimal analysis, and Newton's proposition.Richard Arthur - manuscript
Infinitesimals as an issue of neo-Kantian philosophy of science.Thomas Mormann & Mikhail Katz - 2013 - Hopos: The Journal of the International Society for the History of Philosophy of Science (2):236-280.
Infinitesimals and Other Idealizing Completions in Neo-Kantian Philosophy of Mathematics.Mikhail G. Katz & Thomas Mormann - manuscript
Mathematics, ideology, and the politics of infinitesimals: mathematical logic and nonstandard analysis in modern China.Joseph W. Dauben - 2003 - History and Philosophy of Logic 24 (4):327-363.
Working memory involvement in propositional and spatial reasoning.Karl Christoph Klauer - 1997 - Thinking and Reasoning 3 (1):9 – 47.
What is “Formal Logic”?Jean-Yves Béziau - 2008 - Proceedings of the Xxii World Congress of Philosophy 13:9-22.
The Logic of Learning.William E. Murnion - 1986 - Philosophy Research Archives 12:267-291.
Working memory and reasoning: An individual differences perspective.Alison Capon, Simon Handley & Ian Dennis - 2003 - Thinking and Reasoning 9 (3):203 – 244.
Moral intuitions, moral expertise and moral reasoning.Albert W. Musschenga - 2009 - Journal of Philosophy of Education 43 (4):597-613.
From actuals to fictions: Four phases in Leibniz's early thought on infinitesimals.Richard Arthur - manuscript
Definition of intuitive set theory.Kannan Nambiar - 2001

Analytics

Added to PP
2013-09-30

Downloads
26 (#577,276)

6 months
3 (#902,269)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Grammar and sets.B. H. Slater - 2006 - Australasian Journal of Philosophy 84 (1):59 – 73.

Add more citations

References found in this work

No references found.

Add more references