Comments are for the page: The collapse of rational certainty
For an overview of the crisis
2020-05-05
For an overview of the crisis in mathematics that non-math folk can understand, I’d recommend linking the extremely good graphic novel Logicomix, which follows Bertrand Russell as he tries to uncover foundational . As someone who’s pretty mediocre at maths, this work was a really good introduction to the topic, the art is really good.
Quoting Saruman
2021-01-02
The dwarves delved too greedily and too deep. You know what they awoke in the darkness of Khazad-dum… shadow and flame.
Problems with infinities
Thanks for making this book public! I’m glad that you’ve written an interesting summary of what this section is to be, even though it’s not complete yet.
Could you say what the “ problems with infinities” you mention here are, so that I can look them up myself? I assume you aren’t talking about Gödel’s incompleteness theorem?
Any additional pointers to resources on the historical ramifications of such revolutions in mathematics would also be appreciated.
Thanks! No worries if it’s too much trouble :)