I highly recommend getting Godel's proof[1] and reading it. It's an amazing journey and quite understandable from the start (the first half of the book is introduction), and I've never been able to read proofs very well. It takes concentration, but once you get it (at '17 GenR') it's almost like a symphony going off. The crystalline brilliance of the "System P" decomposition is worth it just to see how math as a process could be reduced to a such simple, clear and concise set of symbol manipulations...and then the rest shows how that could be used topple itself. Incredibly philosophically insightful.

[1] https://www.amazon.ca/Undecidable-Propositions-Principia-Mat...