Ever wondered how numbers are actually defined? In this video, you’ll learn the most common way it’s done by mathematicians.
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00:00 - Intro
02:19 - Motivation
04:12 - Physical Units: An Analogy
08:26 - First Attempt
10:39 - The Perils of Intuition
12:40 - Definition in Principle
15:38 - Sets and Russell’s Paradox
23:44 - Rules of Sets
31:46 - Constructing the Numbers
38:25 - Cake
38:29 - Closing Remarks
*Galileo’s Paradox: In his final book, which bears the catchy title, “...,“ Galileo discusses the size of the set of natural numbers versus that of the set of square numbers (not e
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