mathematics
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The romantic's favorite mathematician.
But plane geometry isn't all of mathematics, and other fields proved surprisingly resistant to axiomatization; irritating paradoxes kept springing up, to be knocked down again by more refined axiomatic systems. The so-called "formalist program" aimed to find a master list of axioms, from which all of mathematics could be derived by rigid logical deduction. Goldstein cleverly compares this objective to a "Communist takeover of mathematics" in which individuality and intuition would be subjugated, for the common good, to logical rules.Hermes Trismegistus, “thrice-great Hermes” “God is an infinite sphere, the center of which is everywhere, the circumference nowhere.” Book of the 24 Philosophers. Alain of Lille “God is an intelligible sphere, whose center is everywhere, and whose circumference is nowhere.”
A circle with the center everywhere
Detexify symbol classifier
What is this? Anyone who works with LaTeX knows how time-consuming it can be to find a symbol in symbols-a4.pdf that you just can't memorize. Detexify is an attempt to simplify this search.
Anyone can uncover the mystery The number 6174 is a really mysterious number. At first glance, it might not seem so obvious. But as we are about to see, anyone who can subtract can uncover the mystery that makes 6174 so special.
Mysterious number 6174
WASHINGTON - One of the most extraordinary minds of our time has "left." "Left" is the word Paul Erdos, a prodigiously gifted and productive mathematician, used for "died." "Died" is the word he used to signify "stopped doing math." Erdos never died. He continued doing math, notoriously a young person's field, right until the day he died Friday, Sept. 20.
Erdos article
Intro to group theory
This is intended to be an introduction to Group Theory. My hope is to provide a clear passage to understanding introductory group theory. The project will expand as time goes by. The chapters so far are:
Representing complex numbers as 2×2 matrices
We can represent complex numbers as real matrices, such that arithmetic operationsSolving Fermat: Andrew Wiles
Andrew Wiles devoted much of his career to proving Fermat's Last Theorem, a challenge that perplexed the best minds in mathematics for 300 years. In 1993, he made front-page headlines when he announced a proof of the problem, but this was not the end of the story; an error in his calculation jeopardized his life's work. In this interview, Wiles recounts how he came to terms with the mistake, and eventually went on to achieve his life's ambition. Anyone who thinks that mathematics doesn't involve passion and emotion should hear directly from Andrew Wiles. Enlarge Photo credit: © WGBH Educational Foundation
In computer science , a tagged union , also called a variant , variant record , discriminated union , or disjoint union , is a data structure used to hold a value that could take on several different, but fixed types.
Tagged union
World's shortest explanation of Gödel's theorem
World's shortest explanation of Gödel's theorem
The Philosopher's Game
This file is a transcription of a 1563 translation by William Fulke (or Fulwood -- the sources disagree) of Boissiere's 1554/56 description of Rythmomachy. It is entry 15542a in the Short Title Catalog of Pollard and Redgrave, and on Reel 806 of the corresponding microfilm collection.Rithmomachy (or Rithmomachia , also Arithmomachia , Rythmomachy , Rhythmomachy , or sundry other variants; sometimes known as The Philosophers' Game ) is a highly complex, early European mathematical board game. The earliest known description of it dates from the eleventh century. A literal translation of the name is "The Battle of the Numbers".
Rithmomachy
This week in mathematical findings
A while back, my friend Dan Christensen drew a picture of all the roots of all the polynomials of degree at most 5 with integer coefficients ranging from -4 to 4:While many math geeks out there may have been teased for their love of numbers, it’s math that makes the world go round, defining everything from the economy to how the universe itself operates.
100 Incredible Open Lectures for Math Geeks
Gil Kalai is one of the great combinatorialists in the world, who has proved terrific results in many aspects of mathematics: from geometry, to set systems, to voting systems, to quantum computation, and on. He also writes one of the most interesting blogs in all of mathematics— Combinatorics and more ; I strongly recommend it to you. Today I want to talk about surprises in mathematics.