Infinite Blowup in Newtonian Gravity: Struggles with the Continuum (2016)
johncarlosbaez.wordpress.com
johncarlosbaez.wordpress.com
This has been posted here before, but not in a while, and they didn't get much attention. I took the liberty of elaborating the title a bit with the surprising bit which hooked me.
On a meta-level, the whole series gives a really nice view of General Relativity, Quantum Electrodynamics and the Standard model as attemts to fix pure math issues with previous models.
Anyway, hope you find this stuff as fascinating as I do!