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Classical Theorems and Proofs: An Introduction to Elegant Mathematics
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Introductory Lectures
Lecture 1: Why Mathematics is Worth Knowing (Preview Content)2 Topics|1 Quiz -
Lecture 2: What is Mathematics?3 Topics|1 Quiz
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ProofsLecture 3: Triangle Angle Sum Theorem (Preview Content)2 Topics|1 Quiz
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Lecture 4a: Polygonal Tilings2 Topics|1 Quiz
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Lecture 4b: Platonic Solids2 Topics|1 Quiz
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Lecture 5: Existence of Irrational Numbers2 Topics|1 Quiz
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Lecture 6: How Many Irrational Numbers are there?2 Topics|1 Quiz
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Theorems with Hard ProofsLecture 7: The Independence of the Parallel Postulate2 Topics|1 Quiz
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Lecture 8: Impossible Constructions2 Topics|1 Quiz
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Lecture 9: Three Fundamental Theorems2 Topics|1 Quiz
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Lecture 10: Euler's Identity2 Topics|1 Quiz
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Lecture 11: Fermat's Last Theorem2 Topics|1 Quiz
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Lecture 12: Gödel's Incompleteness Theorems2 Topics|1 Quiz
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Unsolved ProblemsLecture 13a: A Handful of Unsolved Problems: The Infinite Depth of Mathematical Mystery2 Topics|1 Quiz
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Lecture 13b: A Handful of Unsolved Problems: The Infinite Depth of Mathematical Mystery2 Topics|1 Quiz
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End of Course TestEnd of Course Test: Classical Theorems and Proofs: An Introduction to Elegant Mathematics1 Quiz
Lesson 8,
Topic 2
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Discussion Questions
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Why is it interesting that mathematics can be used to prove that some things are neither provable or disprovable?