a concept that we never learnt in schools
Автор: Qriusdude
Загружено: 2026-01-06
Просмотров: 343
Infinity is not just “endless” — there are different sizes of infinity.
In this video, I explore one of the most mind-bending ideas in mathematics:
why the infinity of points on a line is far bigger than the infinity of whole numbers.
Using a light projection technique, I show that no matter how long or short a line segment is, all line segments contain the same number of points. This challenges our everyday intuition that “longer means more.”
We dive into:
Why every line segment has equal point-infinity
The density property of a line (there is always another point between two points)
Why points on a line cannot be paired one-to-one with whole numbers
Georg Cantor’s idea of cardinality
What ℵ₀ (aleph-null) really represents
Why the cardinality of the continuum is strictly larger than countable infinity
This video is not about formulas — it’s about seeing infinity differently.
If you’ve ever thought all infinities are the same, this will change how you think forever.
#Infinity
#MathExplained
#Cantor
#AlephNull
#UncountableInfinity
#MathVisualization
#RealNumbers
#Cardinality
#MindBlowingMath
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light projection infinity explanation
visual proof infinity points line
why all line segments have same points
density of points on a line explained
between any two points another point
countable vs uncountable infinity
aleph null explained
cardinality of continuum explained
cantor infinity proof
why real numbers are uncountable
whole numbers vs real numbers infinity
bijection infinity example
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