Study log day 1

Added 2022-09-09


Today was "Broad day" - the theme being broad knowledge.

CIA factbook

Learned about the middle east, main points

Didn't make Anki cards because I wasn't sure what information was important. I'm going to do more broad gathering than Ankify the things that seem important?

Logic

Studying logic was really productive. Tomorrow I'm going to write a logic effortpost, but TLDR: I now 95% understand and can prove Godel's completeness theorem, first and second incompleteness theorems, and Lob's theorem. And I haven't even finished the Logic chapter!

A nice guy in the math discord helped me too, pointed out that "ZF + not(RH) is consistent" is equivalent to "ZF cannot derive RH" - because if "ZF + not(RH)" were inconsistent that would mean ZF could prove RH, and if ZF can't derive RH then we can't derive a contradiction in ZF + not(RH).

(This is theorem 3.6 of Derek Goldrei Predicate Calculus)

I'm going to write a "Logic Bootcamp" post that explains everything very carefully, get several people to test-run it - then add it!

Time breakdown

Potential Improvements: