Homework problems are pedagogical devices and many (most) authors place them in the text near where they would be profitably be done. They also provide a useful break in the text to prompt more novice students to actually perform them at the end of a section.

More advanced students, however, should have caught on eventually at the need to work out examples for themselves which are presented in a textbook, but they should also be seeking out additional problems where ever they appear in the text, not to mention seeing out any outside additional problems, making up their own, and exploring any additional questions these pose.

In mathematics textbooks this working of problems, expanding on them and seeking out new ones is often a large part of what is lurking behind the sometimes nebulous sounding idea of "mathematical sophistication". The rest of that equation typically includes experience with the various methods and means of proofs and some basic background in logic.

"death march of proposition, lemma, proof"

This is a bit harsh n'cest pas?

This is a reference to a great book "Beginning Mathematical Logic: A Study Guide [18 Feb 2022]" by Peter Smith on "Teach Yourself Logic A Study Guide (and other Book Notes)". The document itself is called "LogicStudyGuide.pdf".

It focuses on mathematical logic and can be a gateway into understanding Gödel's incompleteness theorems.

I found this some time ago when looking for a way to grasp the difference between first-order and second-order logics. I recall enjoying his style of writing and his commentary on the books he refers to. Both recollections still remain true after rereading some of it.

It both serves as an intro to and recommended reading list for the following: - classical logics - first- & second-order - modal logics - model theory<br /> - non-classical logics - intuitionistic - relevant - free - plural - arithmetic, computability, and incompleteness - set theory (naïve and less naïve) - proof theory - algebras for logic - Boolean - Heyting/pseudo-Boolean - higher-order logics - type theory - homotopy type theory

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Shematologist, MD on Twitter: “How it started. How it’s going. Https://t.co/il5DWFm11W” / Twitter. (n.d.). Retrieved October 10, 2021, from https://twitter.com/acweyand/status/1442304094945873922

Impact of Social Sciences. “How Models Change the World – and What We Should Do about It,” August 20, 2021. https://blogs.lse.ac.uk/impactofsocialsciences/2021/08/20/how-models-change-the-world-and-what-we-should-do-about-it/.

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Holme, Petter, and Jari Saramäki. ‘Temporal Networks as a Modeling Framework’. ArXiv:2103.13586 [Physics], 24 March 2021. http://arxiv.org/abs/2103.13586.

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Health Nerd. (2021, February 1). The story continues—After @ikashnitsky and I pointed out that this paper was mathematically impossible, and had numerous errors, it was partially corrected Now, the lead author is calling us ‘trolls’ [Tweet]. @GidMK. https://twitter.com/GidMK/status/1356085063998267398

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