Can one use origami to model the fundamental concepts of calculus? I think
so. Can one use folded paper and wooden toys to illustrate a masterpiece of
mathematical writing? I am working on it!

I gave a talk recently to a small group of mathematicians with an interest
in the history of mathematics (the Philadelphia Area Seminar on the History
of Mathematics). This is part of a project, long in gestation, which I call
"Leibniz and the Birth of Calculus". I have assembled a set of origami
models, wooden machines, and various sculptures, to be displayed alongside
a book which was printed in 1684. The book includes a groundbreaking paper
by G. W. Leibniz (Nova Methodus Pro Maximus et Minimus). In the talk, I
discuss Leibniz's paper in detail. Excruciating detail? Well, the talk is
not for everyone, even though the display "Leibniz and the Birth of
Calculus" is for anyone--anyone who is curious. I was speaking to
history-of-math people, so I focused on what they might most appreciate.
Nonetheless, I wanted to share this link, in case origami fans are
interested:

https://youtu.be/EpZgkFp-rLo?si=TRotob-YD4apPuMA

(Note that I made a few mistakes. The slide about dx has a quote from a
late 17th century calculus textbook and I should have written "Definition
II" not "Postulate I". Further, I would not call myself a math enthusiast.
I would call myself an enthusiast of Nova Methodus. All that I know about
mathematics I learned from this one seven page paper, or perhaps I should
say what I know about mathematics I learned in order to understand this
seven page paper. I was not a math student in college. Neither was Leibniz,
actually, but that is a different story.)

Cliff

Cliff Landesman, PhD
https://visit.bodleian.ox.ac.uk/event/locke-unlocked

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