Cantor's Dream | Understanding the Continuum Hypothesis
Автор: H. Atmani
Загружено: 2025-05-17
Просмотров: 10242
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This video is a part of an undergrad Logic project from the National Higher School of Mathematics of Algeria (NHSM). We explore Georg Cantor’s vision of infinity, cardinality, and the mystery of the Continuum Hypothesis: the question of whether there's a set whose size is strictly between that of the natural numbers (ℵ₀) and the real numbers (2^ℵ₀).
“The essence of mathematics is its freedom.” — Georg Cantor
Group Members:
-Atmani Mohamed
-Boubekeur Hocine
-Belabass Khaled
-Otmani Louai
-Oudjoudi Gaya
-Zakariya Aggouni
-Miloud Mohamed
-Zenati Sidra
-Ait Chalal Sarah
Produced with Manim
Music by Vincent Rubinetti
#### TIMESTAMPS ####
00:00 Introduction
00:34 Countable and Uncountable infinities
01:08 Cantor's Diagonal Argument
01:53 The Continuum Hypothesis
02:22 ZFC
03:40 L
05:40 Forcing
09:40 Independence of CH
10:22 Reflection
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