To the mathematically inclined this book has presented value to me so far.

It isnt a book one should expect to read in on session or even in a couple of months of pure devotion. Instead it is material that should be reviewed and digested in conjunction with one's own studies and pursuits. It covers a vast variety of topics found in pure maths, but the real meat that one can chew on is its discourse on the philosophy of maths, techniques used to be a mathematician, and the historical mentions.

Kinda expensive though. 64 bucks.

Most of the nobel prizes are b.s. political trash, but science is less affected with the trash of humanity. The physics winners goes to the three people that shown that bell's inequality can be broken with a specific experimental set-up, the person who did the experiment, and the person who applied it to create quantum computing. If microscopic engineering improves and current atom by atom materials construction techniques can be industrialized we may see a phase of technology where the spin parity of photons instead of electrons can be used for quantum computing. Of course reality limits technology, but innovation uses limitations to create technology!

I like this guys channel. He does nice softcore examples of proofing techniqies generally required and even does and a set theory basis for the natural numbers rather than the usual peano's axioms.

Im not going to do them cause I've already done them. But here ya go! Taken from "Introduction to Real Analysis," by William Trench

I enjoyed them. The first book is good on its own, supplemental resources arent really needed and the main citations are from direct translations. The second book is really big and long amd goes in depth on newton's "principia naturalis..." Researching the cited sources in conjuction to the text is actually extremely useful. Especially, for those not acquainted with the old school of thought in mathematics and the pedagogical rigor that it contains.

Going to be cool

Russel, makes reference to wittgensteins constructs vaguely. I recommend checking out logicus tracatus philosophicus as it is an interesting contribution to the formation of logic as a teue discipline of mathematics and when the world finally had a cohesives train of thought that cemented mathematics as another ideology created by humans. Not this mystical construct with non-contradictory extensions of original axioms of ideology.