- Proof By Lice!
- The seventeen camels riddle, and Noga Alon’s camel proof and algorithms
- Edmund Landau and the Early Days of the Hebrew University of Jerusalem
- Boolean Functions: Influence, Threshold, and Noise
- Laci Babai Visits Israel!
- Polymath10 conclusion
- Is Heads-Up Poker in P?
- The Median Game
- International mathematics graduate studies at the Hebrew University of Jerusalem
Top Posts & Pages
- The seventeen camels riddle, and Noga Alon's camel proof and algorithms
- Proof By Lice!
- Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
- Updates and plans III.
- A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
- Emmanuel Abbe: Erdal Arıkan's Polar Codes
- Mind Boggling: Following the work of Croot, Lev, and Pach, Jordan Ellenberg settled the cap set problem!
- Combinatorics, Mathematics, Academics, Polemics, ...
- When It Rains It Pours
Category Archives: Philosophy
Michal Karonski (left) who built Poland’s probabilistic combinatorics group at Poznań, and a sculpture honoring the Polish mathematicians who first broke the Enigma machine (right, with David Conlon, picture taken by Jacob Fox). Update: Here is a picture from 2015, while … Continue reading
In a previous post I mentioned the question of why is mathematics possible. Among the interesting comments to the post, here is a comment by Tim Gowers: “Maybe the following would be a way of rephrasing your question. We know … Continue reading
Spectacular advances in number theory Last weeks we heard about two spectacular results in number theory. As announced in Nature, Yitang Zhang proved that there are infinitely many pairs of consecutive primes which are at most 70 million apart! This is a sensational achievement. … Continue reading
The following paradox was raised by Rann Smorodinsky: Rann Smorodinsky’s Privacy Paradox Suppose that you have the following one-time scenario. You want to buy a sandwich where the options are a roast beef sandwich or an avocado sandwich. Choosing … Continue reading
Today (April 27, 2012) it is precisely 213 years 7 months, and 29 days to the completion of the declaration of the rights of man, which makes it a perfect occasion to celebrate this remarkable human creation. Here is a … Continue reading
A small discussion in a meeting about two decades ago. Lior: Some people in the department think that they are wiser than what they really are John: I am really wiser than what I think I am. John’s statement is paradoxical … Continue reading
I came across a videotaped lecture by Itamar Pitowsky given at PITP some years ago on the question of probability in physics that we discussed in two earlier posts on randomness in nature (I, II). There are links below to … Continue reading
In a previous post we presented a MO question by Liza about randomness: What is the explanation of the apparent randomness of high-level phenomena in nature? 1. Is it accepted that these phenomena are not really random, meaning that given enough … Continue reading
The Bayesian approach to the philosophy of science was developed in the first half of the twentieth century. Karl Popper and Thomas Kuhn are twentieth-century philosophers of science who later proposed alternative approaches. It will be convenient to start with … Continue reading