Leibniz's laws of continuity and homogeneity

Mikhail G. Katz; David M. Sherry

doi:10.1090/noti921

Leibniz's laws of continuity and homogeneity

Mikhail G. Katz, David M. Sherry

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

We explore Leibniz's understanding of the differential calculus, and argue that his methods were more coherent than is generally recognized. The foundations of the historical infinitesimal calculus of Newton and Leibniz have been a target of numerous criticisms. Some of the critics believed to have found logical fallacies in its foundations. We present a detailed textual analysis of Leibniz's seminal text Cum Prodiisset, and argue that Leibniz's system for differential calculus was free of contradictions.

Original language	English
Pages (from-to)	1550-1558
Number of pages	9
Journal	Notices of the American Mathematical Society
Volume	59
Issue number	11
DOIs	https://doi.org/10.1090/noti921
State	Published - Dec 2012

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1090/noti921

Cite this

@article{5a461adaa66b4586a0980f3e9a465854,

title = "Leibniz's laws of continuity and homogeneity",

abstract = "We explore Leibniz's understanding of the differential calculus, and argue that his methods were more coherent than is generally recognized. The foundations of the historical infinitesimal calculus of Newton and Leibniz have been a target of numerous criticisms. Some of the critics believed to have found logical fallacies in its foundations. We present a detailed textual analysis of Leibniz's seminal text Cum Prodiisset, and argue that Leibniz's system for differential calculus was free of contradictions.",

author = "Katz, {Mikhail G.} and Sherry, {David M.}",

year = "2012",

month = dec,

doi = "10.1090/noti921",

language = "الإنجليزيّة",

volume = "59",

pages = "1550--1558",

journal = "Notices of the American Mathematical Society",

issn = "0002-9920",

publisher = "American Mathematical Society",

number = "11",

}

TY - JOUR

T1 - Leibniz's laws of continuity and homogeneity

AU - Katz, Mikhail G.

AU - Sherry, David M.

PY - 2012/12

Y1 - 2012/12

N2 - We explore Leibniz's understanding of the differential calculus, and argue that his methods were more coherent than is generally recognized. The foundations of the historical infinitesimal calculus of Newton and Leibniz have been a target of numerous criticisms. Some of the critics believed to have found logical fallacies in its foundations. We present a detailed textual analysis of Leibniz's seminal text Cum Prodiisset, and argue that Leibniz's system for differential calculus was free of contradictions.

AB - We explore Leibniz's understanding of the differential calculus, and argue that his methods were more coherent than is generally recognized. The foundations of the historical infinitesimal calculus of Newton and Leibniz have been a target of numerous criticisms. Some of the critics believed to have found logical fallacies in its foundations. We present a detailed textual analysis of Leibniz's seminal text Cum Prodiisset, and argue that Leibniz's system for differential calculus was free of contradictions.

UR - http://www.scopus.com/inward/record.url?scp=84869382920&partnerID=8YFLogxK

U2 - 10.1090/noti921

DO - 10.1090/noti921

M3 - مقالة

SN - 0002-9920

VL - 59

SP - 1550

EP - 1558

JO - Notices of the American Mathematical Society

JF - Notices of the American Mathematical Society

IS - 11

ER -

Leibniz's laws of continuity and homogeneity

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this