Category: Paradoxes
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Every Forbidden Operation in Math Explained
Ever wondered why you cannot take the logarithm of zero? We are diving into every forbidden math operation that just does not play by the rules. Division by Zero Logarithm of Zero Negative Output of Absolute Value Zero to a Negative Exponent Multiplying Infinity by Zero Adding Scalars and Vectors Determinant read more
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Zeno’s Dichotomy Paradox Explained
Imagine you are about to clap your hands. But think about what has to happen first. Your right hand has to travel half the distance to your left. Then half of what remains. Then half again. And again. And again. This is an infinite number of steps. And infinity is not just “a lot.” Here, read more
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Every Weird Math Paradox Explained
The Hairy Ball Theorem The Dichotomy Paradox The Birthday Problem Gabriel’s Horn The Elevator Paradox The St. Petersburg Paradox Hilbert’s Hotel Russell’s Paradox The Banach-Tarski Paradox The Hairy Ball Theorem Hairy Ball Theorem. Public domain, via Wikimedia Commons Imagine a ball covered in hair, like a fuzzy tennis ball. The hairy 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 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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