Differential Topology—Two quarter sequence at UCLA Extension for Fall/Winter 2021

It hasn’t been announced officially in the UCLA Extension catalog, but Dr. Mike Miller’s anticipated course topic for Fall 2021 is differential topology. The anticipated recommended text is Differential Topology: An Introduction by David B. Gauld (M. Dekker, 1982 or Dover, 1996 (reprint)).

The offering is naturally dependent on potential public health measures in September, which may also create a class limit on the number of attendees, so be sure to register as soon as it’s announced. For those who are interested in mathematics, but have never attended any of Dr. Miller’s lectures, I’ve previously written some details about his stye of presentation, prerequisites (usually very minimal despite the advanced level of the topics), and other details.

A few of us have already planned weekly Thursday night topology study sessions through the end of Spring and into Summer for those interested in attending. Just leave a comment with your contact information and I’ll be in touch with details.

I hope to see everyone in the fall.

This post was originally published on Chris Aldrich

An Euclidean Declaration

An Euclidean Declaration
So far, my favorite part of Jordan Ellenberg‘s new book Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else is this footnoted observation:

“we hold these truths to be self-evident” wasn’t Jefferson’s line; his first draft of the Declaration has “we hold these truths to be sacred & undeniable.” It was Ben Franklin who scratched out those words and wrote “self-evident” instead, making the document a little less biblical, a little more Euclidean.

This post was originally published on Chris Aldrich

Evie (taunting me to tuck her in before she gets to 15): …, 9-Mississippi, 10-Mississippi, 11-Mississippi, …

Me: We don’t Mississippi in this house! Maybe we should Tennessee since that’s where Grandma and Grandpa live?

Evie: I’ve Mississippi’ed since I was three.

Me: Maybe since we’re Welsh we should Llanfairpwllgwyngyllgogerychwyrndrobwllllantysiliogogogoch? You know: 1-Llanfairpwllgwyngyllgogerychwyrndrobwllllantysiliogogogoch, 2-Llanfairpwllgwyngyllgogerychwyrndrobwllllantysiliogogogoch, …

Together: 3-Llanfairpwllgwyngyllgogerychwyrndrobwllllantysiliogogogoch…

Evie (interrupting): Wait, what number are we on now???

This post was originally published on Chris Aldrich

A Short Essay on the Relationship of STEM and Racist Ideas

I’ve seen many tweets today with the hashtag #shutdownSTEM. Some of them included some people asking why such a thing would be necessary. What does STEM (science, technology, engineering, and mathematics) have to do with racism they ask? 

I find myself seeing some immediate and excellent historical examples in Dr. Ibram X. Kendi‘s book Stamped from the Beginning. In chapter nine of the book he discusses the variety and flavors of racism espoused by Thomas Jefferson in his book Notes on the State of Virginia (1785), which would become the most  consumed American nonfiction book until well into the mid-nineteenth century.

Shortly afterward Samuel Stanhope Smith countered portions of Jefferson’s racist ideas in the 1787 annual oration to the august American Philosophical Society. This annual lecture was already one of the most heralded scholarly lectures in America and was attended by the wealthy and elite leaders and thinkers in the country. The lecture would be published as the influential Essay on the Causes of Variety of Complexion and Figure in the Human Species

While Smith used the lecture to attack the abhorrent racist idea of polygenesis, he did espouse a wide array of other racist tropes including assimilationist climate theory. Dr. Kendi specifically notes that he may have picked up this idea from James Bowdoin’s opening oration of the newly established American Academy of Arts and Sciences in Boston on May 4, 1780.
 
To quote Dr. Kendi:
 

Samuel Stanhope Smith joined those preeminent intellectuals in Boston’s American Academy of Arts and Sciences and Philadelphia’s American Philosophical Society in attacking polygenesists, in reviving climate theory in America. His scholarly defense of scripture was quickly printed in Philadelphia, in London, and in Lord Kames’s back-yard, Edinburgh. By the time he sat down in Princeton’s presidential chair in 1795, he had amassed an international scholarly reputation.

So in just a few pages Kendi lays out some serious evidence of the direct spread of a wide variety of racist ideas by not only by the academic elite, but the leaders of multiple influential universities and scientific and philosophical institutions in America. The reverberating echos of these wrongs are still haunting us today. They still need to be addressed and righted. We need to use our moral alembic and distill these racist ideas out of science in America.

Lest one wonder about the influence of Samuel Stanhope Smith’s essay, I’ll note that Noah Webster cited Smith directly in Webster’s 1828 Dictionary in the definition of philosophy. The citation was from  Smith’s second edition of his Essay on the Causes of Variety of Complexion and Figure in the Human Species (1810). The quote as given: “True religion, and true philosophy must ultimately arrive at the same principle.”

We’re obviously still seeking both true religion and true philosophy.

While you’re thinking about #shutdownSTEM on June 10th and long thereafter, I recommend you spend some time sitting with the ideas that have been handed down to us and question them closely, for this is what science and philosophy are all about. If you find you can’t do that hard work–and it is hard, then perhaps read a bit of Dr. Kendi’s excellent and ardent text Stamped from the Beginning.

This post was originally published on Chris Aldrich