Dated Sep 17, 2018;
last modified on Tue, 07 Sep 2021

contains 12 lectures: numbers, rigour, infinity,
geometry, proof, computability, incompleteness, and set theory. Reminds me of
COS 340, but the philosophical context could help me see the content
differently.

Why Mathematicians Can’t Find the Hay in a Haystack. Kevin Hartnett. https://www.quantamagazine.org/why-mathematicians-cant-find-the-hay-in-a-haystack-20180917/ . Sep 17, 2018. Irrational numbers occupy most of the number line. If you were to pick a number on the number line at random, there is literally a 100% chance that it will be irrational (probabilities with inifinities are spooky). Yet, we almost never encounter irrational numbers for we can’t write them down.
The shapes we know best - lines, parabolas, circles, spheres - are the needles, for they can be expressed by simple equations....

Bernoulli Processes;
The Binomial Random Variable;
Conditional Probability;
The Bayes Formula;
Probability and Stochastic Systems [ORF 309];
What is Ergodicity?;

contains 12 lectures: numbers, rigour, infinity, geometry, proof, computability, incompleteness, and set theory. Reminds me of COS 340, but the philosophical context could help me see the content differently.