Katz and Sherry [ED] “Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, And Their Foes From Berkeley To Russell And Beyond”, entry directory

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Mikhail G. Katz  and David Sherry

 

“Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, And Their Foes From Berkeley To Russell And Beyond”

Abstract

1. Introduction

2. Preliminary Developments

3. A Pair of Leibnizian Methodologies

4. Cum Prodiisset

4.1 Critique of Nieuwentijt

4.2 Law of Continuity, with Examples

4.3 Souverain Principe

4.4 Status Transitus

4.5 Mathematical Implementation of Status Transitus

4.6 Assignable Versus Unassignable

Bibliography:

 

Katz, M.; Sherry, D. Leibniz's Infinitesimals: Their Fictionality, Their Modern Implementations, And Their Foes From Berkeley To Russell And Beyond. Erkenntnis 78 (2013), no. 3, 571-625. See http://dx.doi.org/10.1007/s10670-012-9370-y, http://www.ams.org/mathscinet-getitem?mr=3053644, and http://arxiv.org/abs/1205.0174

 

The above bibliography material taken from the following source, a page by Mikhail Katz, which links to many other recent publications on infinitesimals.

http://u.cs.biu.ac.il/~katzmik/infinitesimals.html