Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts

Saturday, August 25, 2018

Plagiarizing the Calculus: Leibniz v Newton

Plagiarism is usually associated with English papers, but this accusation was leveled at a prominent mathematical figure during the 17th century. Thus, we have an interesting point whereby an English scholar might feel comfortable entering the business of mathematics. 

Gottfried Wilhelm Leibniz published his Nova Methodus pro Maximis et Minimis in 1684, a paper on differential and integral calculus. Despite that, Newton (who had developed his equivalent method of fluxions and fluents in the mid-1660's) seemed to show little inclination to publish or even to object to Leibniz's renown as the developer of the method of quadrature. The famous dispute between the two, known since as "The Calculus Wars", was actually catalyzed not by Newton himself, but by a Newton enthusiast Nicolas Fatio de Duillier.

Thursday, August 23, 2018

Everywhere-Nowhere: Weierstrass Meets Borges

A circle whose center is everywhere and circumference nowhere (Borges)
A function that's continuous everywhere and differentiable nowhere (Weierstrass)
I sort of randomly recalled those two objects, noted the similarity of the diction, and decided there had to be a reason both ideas fit so snugly into the same sentence structure. I think I encountered the Borges idea years before Weierstrass's, but I'd been exposed to both concepts for a long time before my mind noticed any connection. And I know this connection is probably spurious, but it's fun to think about. So here goes.