History is mean-reverting in the short term and trending in the medium to long term. Over multi-century horizons, it can resemble a helix: cyclical patterns recur, while the underlying trend continues

The book Geometry Revisited by H. S. M. Coxeter is one of the smartest books a high school student interested in mathematics can study, both for enjoyment and for deeper understanding.

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If you think about it, most of American culture has become about people rather than ideas. This is as much true now in technology as it is in politics or other fields. This is probably because of the creeping influence of pop culture over every aspect of life

Here’s a reflective piece by Glenn Gould with violinist Jaime Laredo, from one of Gould’s most underrated albums. Bach’s Adagio ma non tanto from Sonata No. 3 in E major

youtu.be/JOjIqpQNoJc?...

The genius of Gould was that he could make a piece at any tempo make sense. In this three-part Sinfonia (No. 15), he plays much faster than most, yet the performance remains perfectly coherent and internally consistent

youtu.be/Y7aOoIhedLw?...

Glenn Gould’s Inventions album is one of my favorites. The two-part Invention No. 10 is a masterpiece of virtuosity and polyphony

youtu.be/32mqWa1TPeQ?...