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Art for "The Subtle Art of the Mathematical Conjecture"
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The Subtle Art of the Mathematical Conjecture

May 7, 2019

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.

geometry

A Fight to Fix Geometry’s Foundations

February 9, 2017

When two mathematicians raised pointed questions about a classic proof that no one really understood, they ignited a years-long debate about how much could be trusted in a new kind of geometry.

computer security

Hacker-Proof Code Confirmed

September 20, 2016

Computer scientists can prove certain programs to be error-free with the same certainty that mathematicians prove theorems.

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The Physical Origin of Universal Computing

October 27, 2015

The physical nature of computers might reveal deep truths about their uniquely powerful abstract abilities.

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The Rise of Computer-Aided Explanation

July 23, 2015

Computers can translate French and prove mathematical theorems. But can they make deep conceptual insights into the way the world works?

foundations of mathematics

Will Computers Redefine the Roots of Math?

May 19, 2015

The Fields medalist Vladimir Voevodsky has died at 51. This 2015 article describes his computer-aided quest to eliminate human error and rewrite the century-old rules underlying all of mathematics.

algorithms

In Computers We Trust?

February 22, 2013

As the role of computers in pure mathematics grows, researchers debate their reliability.