Recent Comments

Recent Posts
 Preview: The solution by Keller and Lifshitz to several open problems in extremal combinatorics
 Basic Notions Seminar is Back! Helly Type Theorems and the Cascade Conjecture
 My Very First Book “Gina Says”, Now Published by “World Scientific”
 Itai Benjamini: Coarse Uniformization and Percolation & A Paper by Itai and me in Honor of Lucio Russo
 AfterDinner Speech for Alex Lubotzky
 Boaz Barak: The different forms of quantum computing skepticism
 Bálint Virág: Random matrices for Russ
 Test Your Intuition 33: The Great Free Will Poll
 Mustread book by Avi Wigderson
Top Posts & Pages
 Preview: The solution by Keller and Lifshitz to several open problems in extremal combinatorics
 Elchanan Mossel's Amazing Dice Paradox (your answers to TYI 30)
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 TYI 30: Expected number of Dice throws
 Basic Notions Seminar is Back! Helly Type Theorems and the Cascade Conjecture
 The KadisonSinger Conjecture has beed Proved by Adam Marcus, Dan Spielman, and Nikhil Srivastava
 A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
 Extremal Combinatorics I: Extremal Problems on Set Systems
 Stan Wagon, TYI 23: Ladies and Gentlemen: The Answer
RSS
Category Archives: What is Mathematics
Twelves short videos about members of the Department of Mathematics and Statistics at the University of Victoria
Very nice mathematical videos! Advertisements
Posted in Academics, Movies, What is Mathematics
Leave a comment
Proof By Lice!
From camels to lice. (A proof promised here.) Theorem (Hopf and Pannwitz, 1934): Let be a set of points in the plane in general position (no three points on a line) and consider line segments whose endpoints are in . Then … Continue reading
Why is Mathematics Possible: Tim Gowers’s Take on the Matter
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
Posted in Open discussion, Philosophy, What is Mathematics
Tagged Foundations of Mathematics, Open discussion, Philosophy, Tim Gowers
21 Comments
Why is mathematics possible?
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
Fundamental Examples
It is not unusual that a single example or a very few shape an entire mathematical discipline. Can you give examples for such examples? I’d love to learn about further basic or central examples and I think such examples serve … Continue reading
Posted in What is Mathematics
15 Comments
Rodica Simion: Immigrant Complex
Rodica Simion immigrated to the United States from Romania. She was a Professor of Mathematices at George Washington University untill her untimely death on January 7, 2000. Her poem “Immigrant complex” appeared in : “Against Infinity”, An Anthology of Contemporary … Continue reading
A Proof by Induction with a Difficulty
The time has come to prove that the number of edges in every finite tree is one less than the number of vertices (a tree is a connected graph with no cycle). The proof is by induction, but first you need … Continue reading
Polymath1: Success!
“polymath” based on internet image search And here is a link to the current draft of the paper. Update: March 26, the name of the post originally entitled “Polymath1: Probable Success!” was now updated to “Polymath1: Success!” It is now becoming … Continue reading
Posted in Blogging, Combinatorics, What is Mathematics
Tagged Density HalesJewett theorem, polymath1
10 Comments
Mathematics, Science, and Blogs
Michael Nielsen wrote a lovely essay entitled “Doing science online” about mathematics, science, and blogs. Michael’s primary example is a post over Terry Tao’s blog about the NavierStokes equation and he suggests blogs as a way of scaling up scientific conversation. Michael is writing … Continue reading
Posted in Blogging, What is Mathematics
Tagged Blogs, Michael Nielsen, Open science, polymath1, Tim Gowers
5 Comments