Cantor’s Paradise
@Cantor_Paradise
The #1 Math Publication on @Medium
Popularized in the Academy Award-winning movie A Beautiful Mind, the Nash equilibrium is a solution concept for n-person games ift.tt/mpiNw5O
"Everybody came in. I got up to give the lecture. I can still remember looking in front of me to see the envelope, and pulling out my notes, and the hand shaking — I can see it, the shaking hand because it was quite a thing.” ift.tt/cf32wlZ
“There is a rumor in America that there are two intelligent races on Earth: Humans and Hungarians” — Isaac Asimov ift.tt/vzWnZXV
What classifies a so-called "Black Swan" event? ift.tt/Xud63zM
Gödel's demise was fraught with Pyrrhic irony: Unable to escape from the inner logic of his paranoia - to adopt, as it were, a "meta-theoretical perspective" - he succumbed to starvation in the grip of his obsessive fear of being poisoned. ift.tt/tsQwZpY
This problem has a reputation for being one of the hardest, and perhaps the hardest, International Mathematical Olympiad problem of all time. You can solve it only using high school algebra. ift.tt/wC8esKu
Q: Do you think there will ever be a machine that will think like human beings and be more intelligent than human beings? ift.tt/6E1prfl
The Best Books on the Golden Age of Quantum Physics👇🏼 ift.tt/VQHkmwK (Amazon Affiliate Link)
The Best Books on Game Theory👇🏼 ift.tt/MNT0GmH (Amazon Affiliate Link)
Imagine a square of paper lying flat on your desk. I ask you to close your eyes. You hear the paper shift. When you open your eyes the paper doesn’t appear to have changed. What could I have done to it while you weren’t looking? ift.tt/DZxMQin
A pilgrimage to Göttingen, Germany used to be imperative for serious mathematicians in Europe and the United States: ift.tt/uix7YlQ
The Best Books on the Riemann Hypothesis👇🏼 ift.tt/sqxr27N (Amazon Affiliate Link)
What happens when logic goes wrong? ift.tt/JbTnx5I
Utilizing Turing and Church’s invention of computability we can devise the sketch for a computability proof of Gödel’s incompleteness theorem that is equally as strong as Gödel’s version, but much easier to deduce: ift.tt/KHQecpm
"If you’ve ever googled topology, you will have no doubt encountered the animation of a doughnut morphing into a coffee mug" ift.tt/g14oVW3
The Best Books about Richard Feynman👇🏼 ift.tt/poHEXeb (Amazon Affiliate Link)
The most famous open problem in mathematics, explained step-by-step ift.tt/YO0AIxP
In a 1695 letter, l’Hopital asked Leibniz about the possibility that n could be something other than an integer, such as n=1/2. Leibniz responded that “It will lead to a paradox, from which one day useful consequences will be drawn.” ift.tt/y8PIqCK
The Best Books on Kurt Gödel👇🏼 ift.tt/OhXfQTS (Amazon Affiliate Link)
From GPS navigation to network-layer link-state routing, Dijkstra’s Algorithm powers some of the most taken-for-granted modern services ift.tt/xkwaCnS