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Tic-tac-toe is a very simple game, which even humans can figure out completely by using elementary reasoning, and yet a computer first approaching it would face these huge numbers… Looking ahead Bill Casselman University of British Columbia Looking ahead The question of whether the beginning position … is for oneRead More →
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Suppose this blog’s editor Ursula and I want to create a shared secret to use as a password to access this blog post... Lattices, Plane and Not-So-Plane Courtney Gibbons Hamilton College In January 2023, Bill Casselman wrote a great column introducing readers to lattices that imagined them as vectors inRead More →

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We see a distinct preference for denying the premise of the measurement rather than accepting a measured value of zero… Much Ado About Zero Anil Venkatesh Adelphi University Act NULLA1 It happened at the peak of remote instruction. I had just finished a Zoom session with my calculus students fromRead More →

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Willa is an economist and Cara is a mathematician, so together they have decided to turn the problem of which game to play into a separate meta-game. Because they both love numbers, Willa and Cara start by creating matrices... Elliptic curves come to date night Ursula Whitcher Mathematical Reviews (AMS)Read More →

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Mathematics helps develop definitions to compare different means to make something better or more fair. But there are inherent limitations, expressed as mathematical impossibility theorems... Impossible? Joe Malkevitch York College (CUNY) Introduction When you got up from sleeping last night, what were the possibilities that you could achieve in theRead More →

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I don't believe that responsible people should indulge in anything that can be even remotely considered ultimatums or threats. That is not the way to reach peaceful solutions.—President Eisenhower, July 8, 1959. Daniel Ellsberg and the science of extortion Bill Casselman University of British Columbia Daniel Ellsberg died just lastRead More →