- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Definite values of infinite sums: Aspects of the foundations of infinitesimal analysis around 1820
Archive for History of Exact Sciences 39 (3):195-245 (1989)
Abstract
This article has no associated abstract. (fix it)My notes
Similar books and articles
Numerical point of view on Calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains.Yaroslav Sergeyev - 2009 - Nonlinear Analysis Series A 71 (12):e1688-e1707.
A new applied approach for executing computations with infinite and infinitesimal quantities.Yaroslav D. Sergeyev - 2008 - Informatica 19 (4):567-596.
Equivocation in the Foundations of Leibniz's Infinitesimal Fictions.Tzuchien Tho - 2012 - Society and Politics (2):63-87.
Infinitesimal Probabilities.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2016 - British Journal for the Philosophy of Science 69 (2):509-552.
Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers.Yaroslav Sergeyev - 2007 - Chaos, Solitons and Fractals 33 (1):50-75.
Evaluating the exact infinitesimal values of area of Sierpinski's carpet and volume of Menger's sponge.Yaroslav Sergeyev - 2009 - Chaos, Solitons and Fractals 42: 3042–3046.
Numerical computations and mathematical modelling with infinite and infinitesimal numbers.Yaroslav Sergeyev - 2009 - Journal of Applied Mathematics and Computing 29:177-195.
Interpreting the Infinitesimal Mathematics of Leibniz and Euler.Jacques Bair, Piotr Błaszczyk, Robert Ely, Valérie Henry, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, Thomas McGaffey, Patrick Reeder, David M. Schaps, David Sherry & Steven Shnider - 2017 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 48 (2):195-238.
The exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area.Yaroslav Sergeyev - 2016 - Communications in Nonlinear Science and Numerical Simulation 31 (1-3):21–29.
Interpretation of percolation in terms of infinity computations.Yaroslav Sergeyev, Dmitri Iudin & Masaschi Hayakawa - 2012 - Applied Mathematics and Computation 218 (16):8099-8111.
Is Leibnizian calculus embeddable in first order logic?Piotr Błaszczyk, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Taras Kudryk, Thomas Mormann & David Sherry - 2017 - Foundations of Science 22 (4):73 - 88.
Leibniz's rigorous foundation of infinitesimal geometry by means of riemannian sums.Eberhard Knobloch - 2002 - Synthese 133 (1-2):59 - 73.
Philosophy of Probability: Foundations, Epistemology, and Computation.Sylvia Wenmackers - 2011 - Dissertation, University of Groningen
Leibniz in Paris: A Discussion Concerning the Infinite Number of All Units.Oscar M. Esquisabel & Federico Raffo Quintana - 2017 - Revista Portuguesa de Filosofia 73 (3-4):1319-1342.
Theorem proving in infinitesimal geometry.J. Fleuriot - 2001 - Logic Journal of the IGPL 9 (3):447-474.
Analytics
Added to PP
2020-04-04
Downloads
9 (#1,228,347)
6 months
7 (#418,426)
2020-04-04
Downloads
9 (#1,228,347)
6 months
7 (#418,426)
Historical graph of downloads
Citations of this work
Interpreting the Infinitesimal Mathematics of Leibniz and Euler.Jacques Bair, Piotr Błaszczyk, Robert Ely, Valérie Henry, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, Thomas McGaffey, Patrick Reeder, David M. Schaps, David Sherry & Steven Shnider - 2017 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 48 (2):195-238.
Who Gave You the Cauchy–Weierstrass Tale? The Dual History of Rigorous Calculus.Alexandre Borovik & Mikhail G. Katz - 2012 - Foundations of Science 17 (3):245-276.
A Burgessian Critique of Nominalistic Tendencies in Contemporary Mathematics and its Historiography.Karin Usadi Katz & Mikhail G. Katz - 2012 - Foundations of Science 17 (1):51-89.
Ten Misconceptions from the History of Analysis and Their Debunking.Piotr Błaszczyk, Mikhail G. Katz & David Sherry - 2013 - Foundations of Science 18 (1):43-74.
References found in this work
History of Science and Its Rational Reconstructions.Imre Lakatos - 1970 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1970:91-136.
History of science and its rational reconstructions.Imre Lakatos - 1971 - In R. C. Buck & R. S. Cohen (eds.), PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association. D. Reidel. pp. 91-108.
Cauchy, convergence and continuity.John P. Cleave - 1971 - British Journal for the Philosophy of Science 22 (1):27-37.
Cauchy's conception of rigour in analysis.F. Smithies - 1986 - Archive for History of Exact Sciences 36 (1):41-61.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-7c76586df8-l2pxr uwo