sudgylacmoe | The Mathematical Proof of the Existence of Santa Claus @sudgylacmoe | Uploaded December 2021 | Updated October 2024, 2 hours ago.
Does Santa Claus exist? In this video, I use mathematics to prove that he does. In the process, we will explore many different aspects of mathematical proof writing and the importance of rigor.

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Sections:
00:00 Introduction
01:20 Proof With Algebra
03:24 Proof With Derivatives
04:16 Proof With Integrals
05:08 Proof With Limits
06:40 Proof With Rational Numbers
08:49 Discussion on Rigor
12:35 Revisiting the Proof With Algebra
14:11 Revisiting the Proof With Derivatives
16:40 Revisiting the Proof With Integrals
19:24 Revisiting the Proof With Limits
20:24 Revisiting the Proof With Rational Numbers
22:50 Conclusion