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 AlexFest: 60 Faces of Groups
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 Polymath 10 post 6: The ErdosRado sunflower conjecture, and the Turan (4,3) problem: homological approaches.
 Polymath 10 Emergency Post 5: The ErdosSzemeredi Sunflower Conjecture is Now Proven.
 Mind Boggling: Following the work of Croot, Lev, and Pach, Jordan Ellenberg settled the cap set problem!
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 The Erdős Szekeres polygon problem – Solved asymptotically by Andrew Suk.
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 Believing that the Earth is Round When it Matters
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 Mind Boggling: Following the work of Croot, Lev, and Pach, Jordan Ellenberg settled the cap set problem!
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Category Archives: Rationality
שינוי 2015 – שאלה לנתניהו
בנימין נתניהו, מדוע פרקת את הממשלה ערב מאבק גורלי בנושא קיומי עם נשיא ארצות הברית זה לא מסתדר העניין הזה: זה הרי חוסר אחריות נוראי לפרק את הממשלה ממש לפני עימות מכריע על נושא קיומי, אז מה הסיבה לכך זה כמו … Continue reading
Ehud Friedgut: Blissful ignorance and the KahnemanTversky paradox
Tversky, Kahneman, and Gili BarHillel (WikiPedia). Taken by Maya BarHillel at Stanford, summer 1979. The following post was kindly contributed by Ehud Friedgut. During the past week I’ve been reading, and greatly enjoying Daniel Kahneman’s brilliant book “Thinking fast … Continue reading
Election Day
Vox populi, vox dei! Today is the general election day in Israel. This is an exciting day. For me election is about participation much more than it is about influence and I try not to miss it. This is why … Continue reading
Angry Bird Skepticism
Lenore Holditch is a freelance writer. Here is what she wrote to me: “I love learning about new topics, so I am confident that I can provide valuable content for your blog on any topic you wish, else I can … Continue reading
The Privacy Paradox of Rann Smorodinsky
The following paradox was raised by Rann Smorodinsky: Rann Smorodinsky’s Privacy Paradox Suppose that you have the following onetime scenario. You want to buy a sandwich where the options are a roast beef sandwich or an avocado sandwich. Choosing … Continue reading
Test Your Intuition (11): Is it Rational to Insure a Toaster
Here is a question from last year’s exam in the course “Basic Ideas of Mathematics”: You buy a toaster for 200 NIS ($50) and you are offered one year of insurance for 24 NIS ($6). a) Is it … Continue reading
Posted in Probability, Rationality, Teaching, Test your intuition
Tagged Insurance, Test your intuition
18 Comments
What can the Second Prize Possibly be?
You are guaranteed to win one of the following five prizes, the letter says. (And it is completely free! Just 6 dollars shipping and handling.) a) a highdefinition hugescreen TV, b) a video camera, c) a yacht, d) a decorative … Continue reading
Chess can be a Game of Luck
Can chess be a game of luck? Let us consider the following two scenarios: A) We have a chess tournament where each of forty chess players pay 50 dollars entrance fee and the winner takes the prize which is 80% … Continue reading
Posted in Controversies and debates, Economics, Games, Law, Probability, Rationality
Tagged Chess, Gambling, Games of luck, Games of skill, Poker, Robert Aumann
38 Comments
Social Choice Talk
I took part in a workshop celebrating the publication of a new book on Social Choice by Shmuel Nitzan which took place at the Open University. (The book is in Hebrew, and an English version is forthcoming from Cambridge University Press.) … Continue reading
Posted in Economics, Games, Rationality
Tagged Arrow's theorem, Condorcet Paradox, Condorcet's jury theorem, Social choice
2 Comments
Do Politicians Act Rationally?
Well, I wrote an article (in Hebrew) about it in the Newspaper Haaretz. An English translation appeared in the English edition. Here is an appetizer: During World War II, many fighter planes returned from bombing missions in Japan full of bullet holes. The … Continue reading