Equality and Near-Equality in a Nonstandard World

DOI10.12775/llp.2022.018zbMath1530.03025OpenAlexW4281381634MaRDI QIDQ6107285

Bruno Dinis

Publication date: 3 July 2023

Published in: Logic and Logical Philosophy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/llp.2022.018

zbMATH Keywords

nonstandard analysisequalityparadoxes of identity

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Nonstandard models in mathematics (03H05)

Cites Work

• Leibniz's infinitesimals: their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond
• Introduction to the neutrix calculus
• Nonstandard asymptotic analysis
• Set theory. An introduction to independence proofs
• Differentials, higher-order differentials and the derivative in the Leibnizian calculus
• Approaches to analysis with infinitesimals following Robinson, Nelson, and others
• Nonstandard analysis in practice
• Cauchy's work on integral geometry, centers of curvature, and other applications of infinitesimals
• Fermat, Leibniz, Euler, and the Gang: The True History of the Concepts of Limit and Shadow
• Axiomatics for the external numbers of nonstandard analysis
• Neutrices and External Numbers
• Philosophy of mathematics
• Non-standard analysis
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