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Tag Archives: mathematics
The Sleeping Beauty Problem
This famous puzzle illuminates a deep controversy over what we mean by “probability,” and how to reason when observer selection effects are in play.
The ultimate algorithm
There must be millions of people who have heard of the Tower of Hanoi puzzle and the simple algorithm that generates the simplest solution. But what happens when you are playing the game not with three pegs, as in the … Continue reading
Is Coding a Math Skill or a Language Skill? Neither? Both?
There are aspects of computer code that look like language and some that seem more like algebra, and since we may be headed for a future where many people will need to learn to code, researchers are interested in figuring … Continue reading
Visualising irrationality with triangular squares
Get ready for some brand new and very pretty visual proofs of the fact that root 2, root 3, root 5 and root 6 are irrational numbers. Root 2 being irrational also translates into the fact that the equation x^2+x^2=y^2 … Continue reading
Does Time Cause Gravity?
We know that gravity must cause clocks to run slow on the basis of logical consistency. And we know that gravity DOES cause clocks to run slow based on many brilliant experiments. But I never explained WHY or HOW gravity … Continue reading
A Mathematician’s Lament
A Mathematician’s Lament by Paul Lockhart (also referred to as Lockhart’s Lament): https://www.maa.org/external_archive/… The essay has been expanded into a book of the same name: https://amzn.to/2OvaBGl Paul Lockhart has also written a book showing how math should be done: https://amzn.to/3rFSqvz
Our Brains Broadcast a Message We Don’t Understand
About Thoughty2 Thoughty2 (Arran) is a British YouTuber and gatekeeper of useless facts. Thoughty2 creates mind-blowing factual videos about science, tech, history, opinion and just about everything else. #Thoughty2 Writing: Bevan Rees Editing: Alex Brown Script Development: Steven Rix
Why Are There 7 Days In a Week?
Why does everyone use a 7 day week, and where did it come from? Where do the names of the days come from? And who can we blame for Mondays? Here’s the true story of one of the oldest human … Continue reading
China’s Toughest Exam
America’s Toughest Exam: https://youtu.be/u03ST3ho9OU India’s most competitive exam: https://youtu.be/upOlpeJKVKA The Beijing physics paper (not translated): http://www.gaokao.com/e/20201124/5fbc… The Qinghai math paper (not translated): http://www.gaokao.com/e/20200709/5f06… 2020 gaokao exams (not an official site but a collection of exams from different regions): http://www.gaokao.com/e/20200712/5f0a… Gaokao … Continue reading
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