Vieri Benci and Mauro Di Nasso. How to Measure the Infinite: Mathematics with Infinite and Infinitesimal Numbers

Philosophia Mathematica 30 (1):130-137 (2022)
  Copy   BIBTEX

Abstract

This article has no associated abstract. (fix it)

Categories

Keywords

DOI

10.1093/philmat/nkab030

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 83,878

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

An Euclidean Measure of Size for Mathematical Universes.Vieri Benci, Mauro Nasso & Marco Forti - 2007 - Logique Et Analyse 50.
A Potential Problem for Alpha-Theory.Jeremy Gwiazda - unknown
An Aristotelian notion of size.Vieri Benci, Mauro Di Nasso & Marco Forti - 2006 - Annals of Pure and Applied Logic 143 (1-3):43-53.
A new applied approach for executing computations with infinite and infinitesimal quantities.Yaroslav D. Sergeyev - 2008 - Informatica 19 (4):567-596.
Infinitesimal Probabilities.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2016 - British Journal for the Philosophy of Science 69 (2):509-552.
Euclidean Numbers and Numerosities.Vieri Benci & Lorenzo Luperi Baglini - forthcoming - Journal of Symbolic Logic:1-35.
Numerical computations and mathematical modelling with infinite and infinitesimal numbers.Yaroslav Sergeyev - 2009 - Journal of Applied Mathematics and Computing 29:177-195.
Non-Archimedean Probability.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2013 - Milan Journal of Mathematics 81 (1):121-151.
Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers.Yaroslav Sergeyev - 2007 - Chaos, Solitons and Fractals 33 (1):50-75.
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.
Interpretation of percolation in terms of infinity computations.Yaroslav Sergeyev, Dmitri Iudin & Masaschi Hayakawa - 2012 - Applied Mathematics and Computation 218 (16):8099-8111.
Axioms for Non-Archimedean Probability (NAP).Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2012 - In De Vuyst J. & Demey L. (eds.), Future Directions for Logic; Proceedings of PhDs in Logic III - Vol. 2 of IfColog Proceedings. College Publications.
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.
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.
Picturing the Infinite.Jeremy Gwiazda - manuscript

Analytics

Added to PP
2022-04-09

Downloads
14 (#768,347)

6 months
3 (#244,541)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

No citations found.

Add more citations

References found in this work

Non-standard Analysis.Gert Heinz Müller - 1966 - Princeton University Press.
Non-Archimedean Probability.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2013 - Milan Journal of Mathematics 81 (1):121-151.

View all 6 references / Add more references