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HomeMIT 18.100A Real Analysis, Fall 2020Lecture 3: Cantor's Remarkable Theorem and the Rationals' Lack of the Least Upper Bound Property

Lecture 3: Cantor's Remarkable Theorem and the Rationals' Lack of the Least Upper Bound Property

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Lecture 4: The Characterization of the Real Numbers

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Description: Finishing the lecture on Cantor’s notion of cardinality and starting to define the real numbers. Introducing ordered sets, the least upper bound property, and the incompleteness of the rational numbers.

Speaker: Casey Rodriguez