Can you solve this?

Can you solve the prisoner hat riddle? – Alex Gendler
You and nine other individuals have been captured by super-intelligent alien overlords. The aliens think humans look quite tasty, but their civilization forbids eating highly logical and cooperative beings. Unfortunately, they’re not sure whether you qualify, so they decide to give you all a test. Can you solve this hat riddle? Alex Gendler shows how.
Lesson by Alex Gendler, animation by Artrake Studio.


Can you solve the bridge riddle? – Alex Gendler
Taking that internship in a remote mountain lab might not have been the best idea. Pulling that lever with the skull symbol just to see what it did probably wasn’t so smart either. But now is not the time for regrets because you need to get away from these mutant zombies…fast. Can you use math to get you and your friends over the bridge before the zombies arrive? Alex Gendler shows how.
Lesson by Alex Gendler, animation by Artrake Studio.


The famously difficult green-eyed logic puzzle – Alex Gendler
One hundred green-eyed logicians have been imprisoned on an island by a mad dictator. Their only hope for freedom lies in the answer to one famously difficult logic puzzle. Can you solve it? Alex Gendler walks us through this green-eyed riddle.
Lesson by Alex Gendler, animation by Artrake Studio.


The last banana: A thought experiment in probability – Leonardo Barichello
Imagine a game played with two players and two dice: if the biggest number rolled is one, two, three, or four, player 1 wins. If the biggest number rolled is five or six, player 2 wins. Who has the best probability of winning the game? Leonardo Barichello explains how probability holds the answer to this seemingly counterintuitive puzzle.
Lesson by Leonardo Barichello, animation by Ace & Son Moving Picture Co, LLC.


Plato’s Allegory of the Cave – Alex Gendler
Twenty four hundred years ago, Plato, one of history’s most famous thinkers, said life is like being chained up in a cave forced to watch shadows flitting across a stone wall. Beyond sounding quite morbid, what exactly did he mean? Alex Gendler unravels Plato’s Allegory of the Cave, found in Book VII of “The Republic.”
Lesson by Alex Gendler, animation by Stretch Films, Inc.


The Infinite Hotel Paradox – Jeff Dekofsky
The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it’s completely booked but one person wants to check in? What about 40? Or an infinitely full bus of people? Jeff Dekofsky solves these heady lodging issues using Hilbert’s paradox.
Lesson by Jeff Dekofsky, animation by The Moving Company Animation Studio.


How do you know you exist? – James Zucker
How do you know you’re real? Is existence all just a big dream? Has some mad scientist duped us into simply believing that we exist? James Zucker investigates all of these questions (and more) in this mind-boggling tribute to René Descartes’s “Meditations on First Philosophy.”
Lesson by James Zucker, animation by Stretch Films, Inc.

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