Uncountably Infinite Sets
We prove that the set of real numbers is uncountable and then state and (mostly) prove the Uncountability Omnibus Theorem. The latter gives several constructions that yield uncountable sets, for example the power set of a countable set, or a countable Cartesian product of sets with at least two elements.
0:00, Intro
0:16, ℝ is uncountable
1:05, Pf. ℝ is uncountable
7:51, Uncountability Omnibus Thm
12:04, Pf. Uncountability Omnibus Thm for (1)
14:27, Pf. Uncountability Omnibus Thm for (2)
22:12, Pf. Uncountability Omnibus Thm for (4)
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