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Lecture 2022-02-22. Three statements of the pigeonhole principle (PHP) and quite a few examples of its use. Reviewing some number theory. The Division Theorem. Euclid's algorithm. Finding…
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Lecture 2022-02-08. Equinumerous sets. Another proof that the rationals are countable. Uncountability of the set of all languages over {0,1}. When do things become impractical? Concrete dividing…
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NOTE: "Typo" in what I wrote on one slide: R={x: x \not\in x}. Basics of sets. The only basic vocabulary is \in and \emptyset. Defining other relations: union, intersection complement,…
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Basics of sets. The only basic vocabulary is \in and \emptyset. Defining other relations: union, intersection complement, set difference, symmetric difference. Identities and their proofs, including…
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