Lesson 4 of 11Module 2 · 0% of course
Great Mathematicians · Modern

Georg Cantor: Sizes of Infinity

How Cantor showed that some infinities are bigger than others: one-to-one correspondence, countable sets, the diagonal argument, power sets, the continuum hypothesis, and the backlash he faced.

30 min · 6 steps · videoJump to quiz ↓
Cantor's Infinities - Professor Raymond Flood Gresham College · 53 min
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Key idea
Prereqs: Logic & proofs; sets. Next: Hilbert; Gödel. Sources: Joseph Dauben, *Georg Cantor* (1979); Cantor (1874, 1891); Numberphile; Gresham College.
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