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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
Abelian Groups, Mostly
Simple probabilistic arguments that apply to monoids too Famous Mathematicians source Niels Abel is of course a famous mathematician from the 19th century. Many...
From Gödel's Lost Letter and P=NP
Sliding-Scale Problems
Issues AlphaZero doesn’t need to deal with ETS source Frederic Lord wrote a consequential doctoral dissertation at Princeton in 1951. He was already the director...
From Gödel's Lost Letter and P=NP
Limits On Matrix Multiplication
Can 2.3728639 be best? Personal site; note puzzles Josh Alman is a graduate student at a technical school in the Boston area. He is working on matrix multiplication...
From Gödel's Lost Letter and P=NP
Do You Want to Know a Secret?
A riff on writing style and rating systems Cropped from source Mark Glickman is a statistician at Harvard University. With Jason Brown of Dalhousie University and...
From Gödel's Lost Letter and P=NP
Power Circuits
Not anything to do with electrical engineering Alexei Miasnikov, Alexander Ushakov, and Dong Wook Won are the authors of a brilliant paper, “Power Circuits, Exponential...
From Gödel's Lost Letter and P=NP
Winner Of 2018 Knuth Prize Is:
A great choice Cropped from 2016 KTH grant news source Johan Håstad is the winner of the 2018 Donald E. Knuth Prize. We were going to keep you in suspense, but...
From Gödel's Lost Letter and P=NP
Desperately Seeking Integers
A few twists on Turing’s proof of undecidability of predicate calculus Princeton thesis source Alan Turing presaged Stephen Cook’s proof of -completeness of Turing...
From Gödel's Lost Letter and P=NP
A Quest For Simple Hard Statements
Made-to-order statements that are not so simple Harvey Friedman is a long-standing friend who is a world expert on proofs and the power of various logics. This...
From Gödel's Lost Letter and P=NP
You Cannot Do That
How hard is it to prove certain theorems? Maruti Ram Murty is a famous number theorist at Queen’s University in Kingston, Canada. He is a prolific author of books...
From Gödel's Lost Letter and P=NP
Muffins and Integers
A novel cake-cutting puzzle reveals curiosities about numbers Alan Frank introduced the “Muffins Problem” nine years ago. Erich Friedman and Veit Elser found some...
From Gödel's Lost Letter and P=NP
Princeton Is Invariant
Workshop happening this week—anyone can view it live IAS Weyl bio source Hermann Weyl was one of the first members of the Institute for Advanced Study in Princeton...
From Gödel's Lost Letter and P=NP
Almost Fermat Primes
A possible source of interesting primes Study.com source Pierre de Fermat was fluent in six languages. Yes I thought we would talk about Fermat today. Something...
From Gödel's Lost Letter and P=NP
Lost in Complexity
Should we expect simplicity in a theory named for complexity? Amer. Phy. Soc. interview source Sabine Hossenfelder is a physicist at the Frankfurt Institute for...
From Gödel's Lost Letter and P=NP
A New Proof Of An Ancient Result
Triangulating proofs to seek a shorter path Cropped from 2016 Newsday source Mehtaab Sawhney is an undergraduate student at MIT. His work caught my eye on finding...
From Gödel's Lost Letter and P=NP
Finding Coprime Pairs
Deferring or avoiding randomization Great Discoveries in STEM source Claude Bachet de Méziriac was a French mathematician of the early 1600s. He is the first person...
From Gödel's Lost Letter and P=NP
Tom Lehrer At 90
It makes a fellow proud to be a nerd Tasmanian Archive source Tom Lehrer is Emeritus Lecturer in Mathematics at Cowell College of the University of Santa Cruz....
From Gödel's Lost Letter and P=NP
The Entropy of Baseball
The most shocking existential fact about the universe? Sports April Fools source George Ruth Jr., the “Babe,” may have thought he had cosmic significance but no...
From Gödel's Lost Letter and P=NP
Is There Momentum in Chess?
And if so, what units does it have? Cropped from source Fabiano Caruana has just won the 2018 chess Candidates Tournament. This earns him the right to challenge...
From Gödel's Lost Letter and P=NP
Leprechauns Know What It Feels
To be human, that is Neil L. has graced these pages many times before. Every eve of St. Patrick’s Day he has visited Dick. Sometimes Dick has been hard to find,...
From Gödel's Lost Letter and P=NP