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Game Theory Calls Cooperation Into Question
...strategies were selfish ones that led to extortion, not cooperation. Plotkin found the duo’s math remarkable in its elegance. But the outcome troubled him. Nature includes numerous examples of cooperative...
Mathematicians Chase Moonshine’s Shadow
...monster group, a gargantuan algebraic object that, mathematicians believed, captured a new kind of symmetry. Mathematicians weren’t sure that the monster group actually existed, but they knew that if it...
After Prime Proof, an Unlikely Star Rises
...of a mathematician? Intuition. Your feelings in math. What is that? It’s difficult to tell other people. That’s your personal stuff. Some of the big awards in math, particularly the...
For Persi Diaconis’ Next Magic Trick …
...on its head. “The mathematics of any model for spatial mixing is in pretty bad shape,” Diaconis said. Diaconis hopes that the union of fluid-flow techniques and card-shuffling math might...
Will Computers Redefine the Roots of Math?
...mathematical arguments. Awodey, a mathematician and logician at Carnegie Mellon University in Pittsburgh, Pa., followed along as Voevodsky wrote a definition of a mathematical object using a new formalism he...
A Design Dilemma Solved, Minus Designs
...the exception, mathematicians wondered, or the rule? “It was one of the most famous problems in combinatorics,” said Gil Kalai, a mathematician at the Hebrew University of Jerusalem. He recalls...
Can Information Rise From Randomness?
...in a recent Math Horizons article, I believe that our human love of solving puzzles is a reflection of the unique cognitive-emotional link that makes us the intelligent creatures we...
Solution: ‘Information From Randomness?’
...guarantee that all your doubts about the validity of the solution will be laid to rest, but I’ll try my best. I have tried to keep the actual math to...
The Slippery Eel of Probability
In school, we are trained to think that math problems always have one correct answer. But this is not necessarily true for problems dealing with probability, if the method used...