By Lê Nguyên Hoang, Not an Ordinary Seminar, GERAD.
For one hour, I will take you through some of the most amazing recent subfields of mathematics. From computational theory to chaos theory, from infinity to ergodicity, from mathematical physics to category theory, we will be unveiling mind-blowing results of modern mathematics. Although primarily aimed at non-mathematicians, it should be of great interest to everyone.
The Limitless Vertigo of Cantor's InfiniteThe Limitless Vertigo of Cantor's Infinite By Lê Nguyên Hoang | Updated:2015-12 | Views: 2107 No one believed him. Not even fellow mathematicians. They thought he was wrong. They thought he was crazy. Even he ended up doubting himself and went crazy. And yet, he had mathematically proved it all. Georg Cantor had figured out how to manipulate the infinite. Even more remarkable, he showed that there were actually several infinities; and some are bigger than others!
Type Theory: A Modern Computable Paradigm for MathType Theory: A Modern Computable Paradigm for Math By Lê Nguyên Hoang | Updated:2016-01 | Views: 8195 In 2013, three dozens of today's brightest minds have just laid out new foundation of mathematics after a year of collective effort. This new paradigm better fits both informal and computationally-checkable mathematics. There is little doubt that it will fundamentally change our perspective on rigorous knowledge, and it could be that, in a few decades, the book they published turns out to be the bedrock of all mathematics, and, by extension, all human knowledge! Have a primer of this upcoming revolution, with this article on type theory, the theory that the book builds upon!