The Number That Killed a Mathematician √2
Автор: ScienceHubAndTech
Загружено: 2026-01-07
Просмотров: 31
It is the most famous "glitch" in mathematics. Legend says the man who discovered that the Square Root of 2 is irrational was thrown off a boat for revealing it. Today, I’m going to show you exactly why this number cannot be written as a fraction, using the "Proof by Contradiction" method.We act like detectives: We assume $\sqrt{2}$ is a fraction, and then we watch the logic self-destruct.In this video:0:00 - The Forbidden Number0:15 - Step 1: The Trap (Assuming it is Rational)0:30 - Step 2: The Algebra "Hack"0:45 - The First Clue: "a" must be Even1:00 - The Substitution Trick1:20 - The Second Clue: "b" must be Even1:35 - The Glitch: The Fatal Contradiction1:55 - Conclusion: Why it is IrrationalThe Math Explained:This proof relies on "Infinite Descent" or the fundamental theorem of arithmetic. If $a$ and $b$ are both even, the fraction wasn't simplified. If we simplify it and do the math again, they are still both even. This creates an infinite loop of impossibility.#Math #IrrationalNumbers #ProofByContradiction #Algebra #Logic
Доступные форматы для скачивания:
Скачать видео mp4
-
Информация по загрузке:
