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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 Computational Complexity
Asymptotics of R(4,k)- a new result!
At the workshop Ramsey Theory: Yesterday, Today, and Tomorrow, Edited by Alexander Soifer, 2011. (There is a printed proceedings that you can find.) I saw Joel...
From Computational Complexity
The CONTRADICTION of Margaritaville and other songs
Jimmy Buffett passed away on Sept 2, 2023. His Wikipedia entry (see here) says his death was peaceful and he was surrounded by friends, family, and his dog, sohere...
From Computational Complexity
Theorems and Lemmas and Proofs, Oh My!
I was recently asked by a non-mathematician about the difference between the terms Theorem, Lemma, etc. My first reaction was I probably have a blog post on that...
From Computational Complexity
Why I have some sympathy for the Simulation Theory (We are all characters in a video game.)
There are some people who believe that we are all characters in a video game written by Abisola (this is sometimes called The Simulation Hypothesis). I first dismissed...
From Computational Complexity
Permutable Primes and Compatible Primes
This post is about an open problems column by Gasarch-Gezalyn-Patrick so they can be considered co-authors on this post. The column is here.Known: A permutablehere...
From Computational Complexity
Another problem with CHATgpt
I was giving a recruiting talk for my REU program and I had some slides with testimonials from students:-------------------------------------------------------...
From Computational Complexity
"Never give AI the Nuclear Codes" Really? Have you seen Dr. Strangelove?
(I covered a simlar topic here.) In the June 2023 issue of The Atlantic is an article titled: Never Give AI Intelligence the...
From Computational Complexity
Finding and answer to a math question: 1983 vs 2023.
In 1983, as a grad student, I knew that HALT \( \le_T \) KOLG but didn't know how to prove it. I asked around and A MONTH later through a series of connectionshere...
From Computational Complexity
A futher comment on Chernoff--- and the future of ....
Ravi Boppana recently did a guest blog on Chernoff turning 100 for us here. Consider this unpublished comment on that post: -----------------------------------...
From Computational Complexity
Can you put n pennies on an n x n chessboard so that all of the distances are distinct/how to look that up?
In Jan 2023 I went to the Joint Math Meeting of the AMS and the MAA and took notes on things to look up later. In one of the talks they discussed a problem and...
From Computational Complexity
Ted Kaczynski was at one time the worlds most famous living mathematician
(This post is inspired by the death of Ted Kaczynski who died on June 10, 2023.) From 1978 until 1995 23 mailbombs were send to various people. 3 caused deaths,...
From Computational Complexity
Posting a book online with a password- that you broadcast.
Recently Lance, at the request of Vijay Vazirani, tweeted the following (I paraphrase)------------------------------------------------------------------------...
From Computational Complexity
Quantifiers: To Parenthesize or not to Parenthesize? Matrix of Formula: To Bracket or not to Bracket?
For the book Computational Intractability: A Guide to Algorithmic Lower Boundsby Demaine-Gasarch-Hajiaghayi (See here for a link to a first draft.) we had to...
From Computational Complexity
On Nov 10, 2014 the TV show Scorpion mentions Software that is like ChatGPT for Music
Scorpion is a TV show that ran from 2014 to 2018. It involves a group of brilliant (to say the least) but socially awkward (to say the least) people who help the...
From Computational Complexity
Logic and lack of Logic of Anti Vaxers
I wrote the post below the dotted line a long time ago but never got around to posting it. Now that WHO says COVID emergency...
From Computational Complexity
Take a number and map it to the number of letters in its name
Let f: N--> N map a number to the number-of-letters in its name in English (we will consider other languages later).So for example 14 is fourteen so it maps tohere...
From Computational Complexity
Other Ramsey's
I often Google Ramsey stuff to find something. I often end up back on my own collection of Ramsey theory papers. But I sometimes find OTHER uses of the phrase...
From Computational Complexity
There are an infinite number of proofs that there are an infinite number of primes
In the last few years there have been four papers that prove the primes are infinite using some number theory and some Ramsey Theory. The papers are:Van der Waerden...
From Computational Complexity
Thoughts on Gordon Moore
Gordon Moore passed away on March 24, 2023. He was 94 years old. He is best known for the article Cramming more components onto integrated circuits. It appeared...
From Computational Complexity