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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
Logic and Star-Free, Part Deux
A visual proof with no abstract-algebra overhead Composite crop of src1, src2 Dominique Perrin and Jean-Éric Pin are French mathematicians who have done significant...
From Gödel's Lost Letter and P=NP
Star-Free Regular Languages and Logic
Part 1 of a two-part series Daniel Winton is a graduate student in mathematics at Buffalo. He did an independent study with me last semester on descriptive complexity...
From Gödel's Lost Letter and P=NP
Leprechauns Stay Home
Stay safe, everyone Cropped from Floss Dance source Neil L. is a Leprechaun. He has visited me once every year since I started GLL. I had never seen a leprechaun...
From Gödel's Lost Letter and P=NP
Group Testing For The Coronavirus
Plus other mathematical ideas that may be helping History of Econ. Thought src Robert Dorfman was a professor of political economy at Harvard University, who helped...
From Gödel's Lost Letter and P=NP
The Virtue of Closed Problems
A new condition in property testing Composite crop of src1, src2 Maryam Aliakbarpour and Sandeep Silwal are PhD students at MIT. They have a joint paper titled,...
From Gödel's Lost Letter and P=NP
Dyson as a Mathematician
With a lemma from 1947 that might be useful today? Cropped from article on his letters Freeman Dyson passed away last February 28th, one day short of the leap day...
From Gödel's Lost Letter and P=NP
Reductions and Jokes
Plus a teaching idea that’s no joke? Cropped from Maths History source Emil Post was the first to use the formal notion of reduction between problems. We discussed...
From Gödel's Lost Letter and P=NP
Using Negative Nodes to Count
A deeper basis for generalized Tutte-Grothendieck invariants Via Psychology Today article Alexander Grothendieck peppered algebraic geometry with nilpotent elements...
From Gödel's Lost Letter and P=NP
Counting Votes By Humans
A new way to agree on calculations Cropped from ABC News source Troy Price is the Iowa Democratic Party Chair. He was in charge of Iowa’s primary vote. The vote...
From Gödel's Lost Letter and P=NP
Subliminal Graph Duals
Why don’t we have a good general notion of graph duality? Nat. Medal of Science source Hassler Whitney was an American mathematician. He contributed seminal ideas...
From Gödel's Lost Letter and P=NP
The Halting No Go Theorem
Using the halting problem to prove positive theorems. Cropped from “Turing’s Lost Letters” source Alan Turing proved the undecidability of the Halting Problem in...
From Gödel's Lost Letter and P=NP
Predicting Predictions For the 20s
Before the reveal on January 22 Writer homepage source Claire Cameron is the senior science editor at an online publication called Inverse. She has written an incomplete...
From Gödel's Lost Letter and P=NP
Halting Is Poly-Time Quantum Provable
How does this intersect David Deutsch’s thoughts in 1985? Composite crop from homepages Zhengfeng Ji, Anand Natarajan, Thomas Vidick, John Wright, and Henry Yuen...
From Gödel's Lost Letter and P=NP
Our Thoughts on P=NP
The Clay prize anniversary is soon. SME keynote lecture source Evelyn Lamb is a mathematician who is also a journalist. She has a blog called Roots of Unity on...
From Gödel's Lost Letter and P=NP
No Password Encryption
Who can remember passwords anyway? Real Bernie Sanders reaction source Larry David is an American comedian. He was the lead writer and producer of the Seinfeld...
From Gödel's Lost Letter and P=NP
Resolutions For 2020
Some fun about resolutions. source Ben Orlin is a funny mathematician. His book title Change Is the Only Constant was selected by the blog Math-Frolic as the best...
From Gödel's Lost Letter and P=NP
A Math Gift For All
Happy holidays to all. Kathryn Farley is my dear wife. We just celebrated Christmas together and then went off to London for a holiday. Today I thought I would...
From Gödel's Lost Letter and P=NP
Predicting When P=NP is Resolved
Has it outlasted the ability to estimate when? Composite of src1, src2 Ryohei Hisano and Didier Sornette wrote in 2012 a paper titled, “On the distribution of time...
From Gödel's Lost Letter and P=NP
An Ancient Conjecture on Primes
After 50 years we still are baffled by the primes. Cornell faculty album source Juris Hartmanis needs no introduction. But we can note this long interview last...
From Gödel's Lost Letter and P=NP