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The Vitali Set - Part 1/2 | Measure Theory

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Introduction to the Vitali set. What is the problem with the generalization of a measure? Problems with the axiom of choice!
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Timestamps in this video:
0:00 Introduction.
2:26 Countable additivity.
4:16 Measure of congruent sets.
5:33 Measure of [0, 1).
#maths #analysis #function
📚 Buy measure theory books:
💥 Over 40k followers on instagram, join us!
💸 Support us on Patreon, every dollar helps make these videos!
Timestamps in this video:
0:00 Introduction.
2:26 Countable additivity.
4:16 Measure of congruent sets.
5:33 Measure of [0, 1).
#maths #analysis #function