Viewers like you help
Viewers like you help make PBS (Thank you ?) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi
What happened when a gambler asked for help from a mathematician? The formal study of Probability. Go to http://squarespace.com/infiniteseries and use code “INFINITE” for 10% off your first order.
Find out the players probability of winning based on their current score (Link referenced at 2:24):
Tweet at us! @pbsinfinite
Facebook: facebook.com/pbsinfinite series
Email us! pbsinfiniteseries [at] gmail [dot] com
Written and Hosted by Kelsey Houston-Edwards
Produced by Rusty Ward
Graphics by Ray Lux
Assistant Editing and Sound Design by Mike Petrow
Made by Kornhaber Brown (www.kornhaberbrown.com)
Resources and Special thanks:
Kolmogorov - Foundations of the Theory of Probability
Ian Hacking - The Emergence of Probability
Throughout much of human history, people consciously and intentionally produced randomness. They frequently used dice - or dice-shaped animal bones and other random objects - to gamble, for entertainment, predict the future and communicate with deities. Despite all this engagement with controlled random processes, people didn’t really think of probability in mathematical terms prior to 1600. All of the ingredients were there -- people had rigorous theories of geometry and algebra, and the ability to rig a game of dice would have certainly provided an incentive to study probability -- but, there’s very little evidence that they thought about randomness in mathematical terms.
Comments answered by Kelsey:
Unfortunately very very basic. It's good for kindergarden pupils, though. Thanks for wasting my time!
7:13 the point (1/2 , 1/2) does not lie on a circle with radius 1/sqrt(pi) so it actually is impossible.
can you do an episode on Mirzakhani? thanks. <3
The problem of this version of game theory they take out the skill and free will of the gamer.
Kolmogorov is easily one of the top 3 mathematicians of all time.
A logical construct for
A logical construct for evaluating the choice between metals and paper.
currency was finally set up but I believe that a fiat burning situation would more likely lead to a bartering system that would take years to replace as it did in our history. The other simply is that $20 000 would be worth the same as $1200 dollars today... this would be again a extreme situation of hyperinflation and a “win” would be down to personal view point. That is all I have issue with. The video is of very high quality and I would love to have a bigger debate with you. As to rocky...
you know you're well versed when you're able to cite 17th century logical arguments from Pascal. wow! I'm continuing to love your videos, belangp! It's like I said before, I have always felt concepts like these in my gut but haven't put forth, to this degree the explicit philosophical assertions, historical references, research, etc. to support them, as you do. another great mind exercise! thanks for sharing, belangp.
You're right that I'm using his philosophy and not his mathematics Rocky. The application of the logical framework is fine so long as one understands the different purpose and different underlying assumptions. Nowhere in the presentation did I ever state anything like "God IS, therefore buy metals" :) Flexibility of thought is critical because there are no textbook formulas or recipes that will ever lead to success in the important things in life.
No hard feelings Rocky. We all have our trials in life and deal with them the best we know how. I deeply respect the devotion you show to your mother.
ping ping ping ping!
View full lesson:
View full lesson: http://ed.ted.com/lessons/group-theory-101-how-to-play-a-rubik-s-cube-like-a-piano-michael-staff
Mathematics explains the workings of the universe, from particle physics to engineering and economics. Math is even closely related to music, and their common ground has something to do with a Rubik's Cube puzzle. Michael Staff explains how group theory can teach us to play a Rubik’s Cube like a piano.
Lesson by Michael Staff, animation by Shixie.
I'm convinced this only appeared in my recommended because I have been working with Group Theory in Inorganic Chem -_- not a fan of it at all
Pianists: I see this as an absolute win
Proud cuber and pianist here!
This video was the most confusing TED-Ed video i have ever seen!