[boerseth]

> ... six of the fundamental concepts in mathematics ... and how they connect with our real-world intuition

While the connections are interesting, I would be as interested in the disconnects, as there's a bunch of cases where our human intuitions can fail us in subtle ways. This is actually one of the lessons I treasure from mathematics: it has helped me grow a healthy set of alarm bells for those unintuitive cases. Especially for probability and statistics.

[rramadass]

> Especially for probability and statistics.

For the general reader, two books by David Spiegelhalter (https://en.wikipedia.org/wiki/David_Spiegelhalter) are relevant here;

1) The Art of Uncertainty: How to Navigate Chance, Ignorance, Risk and Luck.

2) The Art of Statistics: Learning from Data.

And of course, all the books by Nassim Taleb.

[leethargo]

There's also the argument that human intuition can and should be trained, rather than just dismissing it, in particular when it comes to mathematics.

See, for example, the book "Mathematica" by David Bessis, or this blog post: https://davidbessis.substack.com/p/thinking-fast-slow-and-su...

[socalgal2]

Interview with the author about that book

https://www.econtalk.org/a-mind-blowing-way-of-looking-at-ma...

[rramadass]

Nice.

There is also Intuition in Science and Mathematics: An Educational Approach by Efraim Fischbein - https://link.springer.com/book/10.1007/0-306-47237-6