Communications of the ACM
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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
A candidate for a new Millenium Problem
In a prior post I wrote that the Erdos-Turan Conjecture should be a Millennium problem. Today I am going to (1) suggest a generalization of the Erdos-Turan Conjecture...
From Computational Complexity
Where do theorems go to die?
(Joint post by Bill Gasarch and Daniel Apon) Recently I (Daniel) reviewed Dexter Kozen's Theory of Computation (it was AWESOME). You can find the review here...
From Computational Complexity
Conventions in Math- just to make the rules work or more?
Why is a1/2 = sqrt(a)? true? To make the rule ax+y=ax a y work out. Why is (∀ x ∈ ∅)[P(x)] true? To make the rule (∀ x ∈ A ∪ B)[P(x)] iff (∀ x ∈ A)[P(x)]...
From Computational Complexity
Guest Post on Conference Locations
(Samir Khuller Guest Post.) On Conference Locations: I recently looked at Orbitz for fares to Japan for SODA 2012 in Jan. The round trip fare from DC to...
From Computational Complexity
Next in the sequence
When I posted on sequence problems here some people said that they did not have unique answers. Many problems FORMALLY do not have a unique answer, but common sense...
From Computational Complexity
Knowing some History is a good thing- Why?
(FOCS registration is open: here. Note that there are tutorials on Sat Oct 22 and the conference talks are Sun Oct 23-Tues Oct 25.) (Guest post by By Jeffery...
From Computational Complexity
Do we use Technology before its perfected? Should we?
During Hurricane Irene I lost power for about 18 hours. I was actually pleased how short this was. PEPCO (my power company) did not tell us when power would beprior...
From Computational Complexity
What inspired you to work on... whatever you work on?
Grad students often wonder how people get ideas of things to work on. The usual advice I give is (1) go to talks, (2) read papers, (3) talk to people, (4) follow...
From Computational Complexity
An application of Ramsey Theory to Proving Programs Terminate
B. Cook, Podelski, and Rybalchenko have done both practical and theoretical work on proving that programs terminate. They use Ramsey's Theorem (Yeah!). Jon Katz...
From Computational Complexity
What is a simple function?
In my discrete Math course I asked the following question: For each of the following sequences find a simple function a(n) such that the sequence is a(1), a(2)...
From Computational Complexity
If I was a tweeter (is that a word?)
Since Lance is not tweeting this week, I will take up the slack. So, here is my once-in-a-while post If I tweeted AND if tweets didn't have to be so short, here...
From Computational Complexity
Does STOC/FOCS take simple-nice-ideas papers? A one-element case study
WRITTEN AUG 1,2011: It has been said that simple innovative ideas to not get into STOC/FOCS and only hard technical improvements do. This is one of the motivations...
From Computational Complexity
Why did 1+1=2 take Russell and Whitehead 300 pages?
In my post about the myth that Logicians are crazy I mentioned in passing that Whitehead and Russell spend 300 pages proving 1+1=2 (but were both sane). Two people...
From Computational Complexity
Looking for people to review books for my column
I am looking for reviewers for the following books for my SIGACT NEWS book review column. I will try to edit this post to keep the list up to date; however, ifthis...
From Computational Complexity
Disproofing the Myth that many early logicians were a few axioms short of a complete set
While I was working on this post another blogger posted on the same topic here and I found a book review of Logicomix that touched on some of the same issues here...
From Computational Complexity
Math, the Universe, and Everythign: Max Tegmark's Interpretation of reality (guest post)
(This is a guest post by Nadia Jones who blogs at online college about education, college, student, teacher, money saving, movie related topics. You can reach her...
From Computational Complexity
A slightly diff take on Liptons use or Ramsey's Theorem
This post takes an idea of Dick Lipton's in a slightly different direction. ω(G) is the size of max clique in G. Recall that, for all 0 < δ1 < δ2 < 1, the...
From Computational Complexity
Scooped by 400 years
This article claims that finding the area under a curve by dividing up the region into rectangles is helpful. Maybe they could take some sort of... limiting process...
From Computational Complexity
Math on FUTURAMA and LAW AND ORDER:CI
MATH ON TV FUTURAMA mentions the Banach-Tarski Paradox! In the June 23, 2011 episode Professor Farnsworth invents a Banach-Tarski-Dupla-Shrinker which takeshere...
From Computational Complexity