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>The famous quote of "ghosts of departed quantities" was written by George Berkeley as a criticism of infinitesmals. It was a criticism of both Newton and Lieb
by jasode 11y ago
>The famous quote of "ghosts of departed quantities" was written by George Berkeley as a criticism of infinitesmals.
It was a criticism of both Newton and Liebnez:
"And what are these Fluxions? The Velocities of evanescent Increments? And what are these same evanescent Increments? They are neither finite Quantities nor Quantities infinitely small, nor yet nothing. May we not call them the ghosts of departed quantities?" -- from https://en.wikipedia.org/wiki/The_Analyst#Content https://en.wikipedia.org/wiki/The_Analyst#Content
Your history is more detailed but it also focuses more on the evolving notations and more of the intermediate intellectual steps in between Principia Mathematica and today's rigorous Real Analysis. I had the lesser ambition of pointing out that the non-intuitive "limits" is not what Newton did and it is somewhat ironic considering we force it on today's teenagers to "learn calculus".