On what has been called Leibniz’s rigorous foundation of infinitesimal geometry by means of Riemannian sums

V.N.E. Blasjo

doi:10.1016/j.hm.2017.03.007

On what has been called Leibniz’s rigorous foundation of infinitesimal geometry by means of Riemannian sums

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

Abstract

A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz written in 1675 establishes a rigorous foundation for the infinitesimal calculus. I argue that this is a misinterpretation.

Original language	English
Pages (from-to)	134-149
Journal	Historia Mathematica
Volume	44
Issue number	2
DOIs	https://doi.org/10.1016/j.hm.2017.03.007
Publication status	Published - 2017

Keywords

Leibniz
Foundations of the calculus
Integration
Riemann sum

Access to Document

10.1016/j.hm.2017.03.007

sumsFinal published version, 515 KB

Cite this

@article{aa49f45b15284129895d5a6797472bcd,

title = "On what has been called Leibniz{\textquoteright}s rigorous foundation of infinitesimal geometry by means of Riemannian sums",

abstract = "A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz written in 1675 establishes a rigorous foundation for the infinitesimal calculus. I argue that this is a misinterpretation.",

keywords = "Leibniz, Foundations of the calculus, Integration, Riemann sum",

author = "V.N.E. Blasjo",

year = "2017",

doi = "10.1016/j.hm.2017.03.007",

language = "English",

volume = "44",

pages = "134--149",

journal = "Historia Mathematica",

issn = "0315-0860",

publisher = "Academic Press",

number = "2",

}

TY - JOUR

T1 - On what has been called Leibniz’s rigorous foundation of infinitesimal geometry by means of Riemannian sums

AU - Blasjo, V.N.E.

PY - 2017

Y1 - 2017

N2 - A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz written in 1675 establishes a rigorous foundation for the infinitesimal calculus. I argue that this is a misinterpretation.

AB - A number of scholars have recently maintained that a theorem in an unpublished treatise by Leibniz written in 1675 establishes a rigorous foundation for the infinitesimal calculus. I argue that this is a misinterpretation.

KW - Leibniz

KW - Foundations of the calculus

KW - Integration

KW - Riemann sum

U2 - 10.1016/j.hm.2017.03.007

DO - 10.1016/j.hm.2017.03.007

M3 - Article

SN - 0315-0860

VL - 44

SP - 134

EP - 149

JO - Historia Mathematica

JF - Historia Mathematica

IS - 2

ER -

On what has been called Leibniz’s rigorous foundation of infinitesimal geometry by means of Riemannian sums

Abstract

Keywords

Access to Document

Fingerprint

Cite this