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Licensed Unlicensed Requires Authentication Published by De Gruyter 2008

Introduction

From the book Infinitesimal Differences

  • Ursula Goldenbaum and Douglas Jesseph
https://doi.org/10.1515/9783110211863.1
From the book
Infinitesimal Differences
Infinitesimal Differences

Chapters in this book (18)

Frontmatter
Table of Contents
Introduction
Leery Bedfellows: Newton and Leibniz on the Status of Infinitesimals
Infinity, Infinitesimals, and the Reform of Cavalieri: John Wallis and his Critics
Indivisibilia Vera – How Leibniz Came to Love Mathematics
Indivisibles and Infinitesimals in Early Mathematical Texts of Leibniz
Archimedes, Infinitesimals and the Law of Continuity: On Leibniz’s Fictionalism
An Enticing (Im)Possibility: Infinitesimals, Differentials, and the Leibnizian Calculus
Productive Ambiguity in Leibniz’s Representation of Infinitesimals
Generality and Infinitely Small Quantities in Leibniz’s Mathematics - The Case of his Arithmetical Quadrature of Conic Sections and Related Curves
Leibniz’s Calculation with Compendia
Nieuwentijt, Leibniz, and Jacob Hermann on Infinitesimals
Truth in Fiction: Origins and Consequences of Leibniz’s Doctrine of Infinitesimal Magnitudes
Rule of Continuity and Infinitesimals in Leibniz’s Physics
Leibniz on Infinitesimals and the Reality of Force
Dead Force, Infinitesimals, and the Mathematicization of Nature
Backmatter
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