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How the “Frontier” Became the Slogan of Uncontrolled AI
Artificial intelligence (AI) has been billed as the next frontier of humanity: the newly available expanse whose exploration …
From Gödel's Lost Letter and P=NP
Diagonalization Without Sets
Avoiding actual infinities Carl Gauss is of course beyond famous, but he had a view of infinity that was based on old ideas. He once wrote in a letter to Heinrich...
From Gödel's Lost Letter and P=NP
The Cantor-Bernstein-Schröder Theorem
And whose theorem is it anyway? Georg Cantor, Felix Bernstein, and Ernst Schröder are each famous for many things. But together they are famous for stating, trying...
From Gödel's Lost Letter and P=NP
An Old Galactic Result
A cautionary tale Karl Sundman was a Finnish mathematician who solved a major open problem in 1906. His solution would have been regarded as paradigm-“shifty” had...
From Gödel's Lost Letter and P=NP
High School Theorems
Taking a conjecture about identities to college Alex Wilkie is a Fellow of the Royal Society, and holds the Fielden Chair in Mathematics at the University of Manchester...
From Gödel's Lost Letter and P=NP
Remembering Ann Yasuhara
Ann will be missed Ann Yasuhara was a mathematician and a complexity theorist, who passed away this June 11th. She lived over half of her 82 years in Princeton,...
From Gödel's Lost Letter and P=NP
Remembering Ann Yasuhara
Ann will be missed Ann Yasuhara was a mathematician and a complexity theorist, who passed away this June 11th. She lived over half of her 82 years in Princeton,...
From Gödel's Lost Letter and P=NP
The Problem of Catching Chess Cheaters
The detection game Howard Goldowsky is the author of this month’s Chess Life cover story. Every month this magazine is mailed to about a quarter of a million players...
From Gödel's Lost Letter and P=NP
Avoiding Monsters and Non-Monsters
A new insight into the structure of some exotic mathematical objects Karl Weierstrass is often credited with the creation of modern analysis. In his quest for rigor...
From Gödel's Lost Letter and P=NP
Avoiding Monsters and Non-Monsters
A new insight into the structure of some exotic mathematical objects Karl Weierstrass is often credited with the creation of modern analysis. In his quest for rigor...
From Gödel's Lost Letter and P=NP
The Easiest Impossible Problem
A simple problem that seems impossible to solve Péter Frankl is a “Hungarian mathematician and street performer”—quoting our friends at Wikepedia. He is also a...
From Gödel's Lost Letter and P=NP
Bell’s Fifty Year Old Mistake
My Missed Chance For Fame: The 1964 New York World Fair Robert Moses was known as New York’s “Master Builder.” He was hired to run the 1964 New York Fair, for many...
From Gödel's Lost Letter and P=NP
Rabin Meets Lagrange
On Rabin’s recent talks at Tech Jeffrey Shallit is a computational number theorist, with many wonderful results. He is also well known for his work as an advocate...
From Gödel's Lost Letter and P=NP
Rabin Meets Lagrange
On Rabin’s recent talks at Tech Jeffrey Shallit is a computational number theorist, with many wonderful results. He is also well known for his work as an advocate...
From Gödel's Lost Letter and P=NP
Happy St. Patrick’s Day 2014
A shocking story from our friendly Leprechaun Neil L. is not a computer scientist—he is a Leprechaun. He has visited me every year since I started writing GLL,...
From Gödel's Lost Letter and P=NP
Happy St. Patrick’s Day 2014
A shocking story from our friendly Leprechaun Neil L. is not a computer scientist—he is a Leprechaun. He has visited me every year since I started writing GLL,...
From Gödel's Lost Letter and P=NP
How To Carry Fame
Long proofs are not always the most important results Michael Rabin is visiting Georgia Tech today and tomorrow to give a pair of distinguished lectures. Both of...
From Gödel's Lost Letter and P=NP
How To Carry Fame
Long proofs are not always the most important results Michael Rabin is visiting Georgia Tech today and tomorrow to give a pair of distinguished lectures. Both of...
From Gödel's Lost Letter and P=NP
Can Plants Do Arithmetic?
The computational power of plants Martin Howard and Alison Smith are research scientists at the John Innes Centre (JIC) in Norwich, England. JIC was founded as...
From Gödel's Lost Letter and P=NP
The Evil Genius
Do We Live In A Simulation? René Descartes is famous for countless things in mathematics—Cartesian products, Cartesian coordinates, Descartes’ rule of signs, the...
From Gödel's Lost Letter and P=NP