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YVLIAZ comments on What math is essential to the art of rationality? - Less Wrong Discussion
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I would definitely recommend learning basics of algorithms, feasibility (P vs NP), or even computability (halting problem, Godel's incompleteness, etc). They will change your worldview significantly.
CLRS is a good entry point. After that, perhaps Sipser for some more depth.
Seconded. P versus NP is the most important piece of the basic math of computer science, and a basic notion of algorithms is a bonus. The related broader theory which nonetheless still counts as basic math is algorithmic complexity and the notion of computability.