Author: Thought Thrill
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What Is the Golden Ratio? Understanding φ (Phi)
The golden ratio, written as φ and approximately equal to 1.618, appears when a whole is divided so that the ratio of the whole to the larger part equals the ratio of the larger part to the smaller. This proportion shows up in geometry, the Fibonacci sequence, art, architecture, and natural patterns. Golden spiral. Suppose read more
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Every Math Problem that Made Someone Famous (pt. 2)
Leonard Euler – Euler’s identity Rudolf Clausius – Second Law of Thermodynamics Marie Curie – Law of Radioactive Decay Daniel Bernoulli – Bernoulli’s Equation Ludwig Boltzmann – Entropy Equation James Juul – first law of thermodynamics Georg Ohm – Ohm’s law Johannes Kepler – Third Law of Planetary Motion Gaspard Gustave read more
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Greatest Mathematicians and their Discoveries – Part 1
You will see some of the famous and greatest mathematicians from 500 BC to the 21st century. Let’s dive into the lives and groundbreaking discoveries of legendary mathematicians who shaped the world with their innovative ideas. Pythagoras Euclid Archimedes Leonardo Fibonacci René Descartes Blaise Pascal Isaac Newton Gottfried Wilhelm Leibniz Benjamin read more
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Every Logic Paradox Created by Mathematicians Explained
The Ring of Gyges by Plato The Hines dilemma The paradox of the ravens The liar paradox The Barber paradox Timestamps: The Ring of Gyges by Plato The Ring of Gyges is a thought experiment from Plato’s book, The Republic, written in 380 BC. This story tackles what happens to morality read more
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Infinity Gets Stranger the Deeper You Go
Why does infinity never behave like a normal number? People think infinity is just a really big number, but infinity is the most broken idea in math, as it does not follow basic rules. Today we’ll cover infinity from ancient India and Greece all the way to the modern mathematics that rigorously define infinity today. read more
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Infinity Paradoxes That Shouldn’t Be Possible
Every Infinity Paradox Explained (Adding the equations and correctly ordering the sections is in progress) 1. Two Envelopes Paradox 2. Galileo’s Paradox 3. Burali–Forti Paradox 4. Russell’s Paradox 5. Tristram Shandy Paradox 6. The Harmonic Series Paradox 7. Grandi’s Series 8. Vitali Sets 1. Two Envelopes Paradox The Two Envelopes Paradox read more
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Every Branch of Math Explained
Intro Arithmetic Algebra Geometry Trigonometry Calculus Differential equations Set theory Topology Discrete mathematics Probability and statistics Financial mathematics Mathematical logic Intro Dividing mathematics into distinct categories isn’t a simple task. Some fields are vast, while others are narrow, and in many cases, it’s hard to say where one subject ends and read more
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