Tag: math education
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Every Geometry Paradox That Shouldn’t Be Possible
The Missing Square Puzzle The Laves Paradox The Ebbinghaus Illusion The Klein Bottle The Penrose Stairs The Missing Square Puzzle The triangle puzzle with the missing square is one of the most well-known examples where geometric intuition fails. At first glance, the problem seems simple. Two triangular figures are composed of read more
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Every Core Math Concept Explained
Terminological precision in mathematics is not a mere formality but has profound consequences for the logical structure and understanding of mathematical theories. In the mathematical and scientific field, the concepts of principles and laws play a fundamental role in the formulation of knowledge. Although both terms are often used interchangeably in everyday language, in the read more
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Every Unsolved Problem in Discrete Mathematics that sounds Easy
The Riemann Hypothesis The Navier-Stokes Problem The P versus NP Problem The Collatz Conjecture The Goldbach Conjecture The Riemann Hypothesis The Riemann hypothesis is one of the unsolved cornerstones of analytic number theory. Formulated by Bernhard Riemann in 1859, it states that all non-trivial zeros of the Riemann zeta function, denoted read more
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Actually Romans were Good at Math
Every Math Discovery in Ancient Rome Surveying and Geometry The Centuriation System Roman Numerals The Roman Abacus The Julian Calendar Rome’s Mathematical Legacy Surveying and Geometry Today, the remains of various Roman cities and settlements lie scattered across three major continents and stand as a testament to the power this civilization read more
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Every Proof that √2 is Irrational but they get increasingly more complex (pt. 2)
Continued Fractions Tennenbaum’s Proof Rational Root Theorem Applying the Rational Root Theorem to √2 Continued Fractions A continued fraction is one possible way to represent a number, consisting of a collection of nested fractions. Here we will focus on the case where the numerators of the fractions are all equal read more
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Every Math Problem that Made Someone Famous
Andrew Wiles and Fermat’s Last Theorem Carl Friedrich Gauss and the 17 Gon Joseph Fourier and Fourier Series Leonhard Euler and the Bridges of Königsberg Isaac Newton and the Law of Universal Gravitation John Nash and the Nash Equilibrium Albert Einstein and General Relativity James Clerk Maxwell and Maxwell’s Equations Further read more
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Simple Math Problems with Hard Solutions
Six Famous Math Problems That Are Harder Than They Look The Prisoner Hat Problem Ten prisoners are put to a test. If they pass, they’ll be freed. They’ll be placed in a single-file line in size order, each seeing only those ahead. Each person will wear a randomly assigned black or white hat and won’t read more
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Unsolved Geometry – The Kobon Triangle Problem Explained
If you draw three lines (infinite lines, not line segments) in a plane, you can make them form a triangle. If you draw four lines, you can make them form a maximum of two triangles. For five lines, the maximum jumps up to five triangles. So, in general, for k lines, what is the largest read more
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Infinity Paradox – The Ross Littlewood Paradox Explained
The Ross-Littlewood paradox involves an infinitely large empty vase and an infinite number of balls. At each step, 10 balls are put in the vase and then one ball is taken out. Each step takes half the amount of time as the previous one, ensuring that the task is completed in a finite amount of read more
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Every Weird Paradox in Set Theory
The Paradox of Enumeration Cardinality of the Continuum Russell’s Paradox König’s Paradox Richard’s Paradox Skolem’s Paradox The Paradox of Enumeration The paradox of enumeration is one of the basic problems of sets, first encountered prior to the development of modern set theory. It is related to the cardinality, or quantity of read more
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