Cantor's Dream | Understanding the Continuum Hypothesis скачать в хорошем качестве

Cantor's Dream | Understanding the Continuum Hypothesis

SUBTITLES ARE AVAILABLE! 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 ###################