149,151 views
➡️ Learn real Calculus, starting from scratch (pre-calculus) to advanced level! Click here and join Dominando o Cálculo: https://www.temciencia.com.br How to measure the circumference of a wheel? Aristotle's Wheel Paradox arises from a simple idea of making this measurement: just mark a point on the wheel and roll it on a plane until it completes one revolution. Then, you measure the distance traveled on the plane. The problem is that this innocent idea leads to an absurd situation in which two circles with different radii have the same circumference: this is Aristotle's paradox. How to solve it? And what does infinity have to do with it? Become a member and help me continue producing this type of content: https://www.youtube.com/temciencia/join SOME VIDEOS ABOUT INFINITY: ???? Hilbert's INFINITY Hotel: How to Count Infinity? • Hilbert's INFINITY Hotel: a PARAD... ???? 3 PARADOXES OF INFINITY • 3 PARADOXES OF INFINITY ???? Banach-Tarski PARADOX: the STRANGER in Mathematics! • Banach-Tarski PARADOX: the STRANGER in... ???? ST. PETERSBURG PARADOX: HOW MUCH IS INFINITE MONEY WORTH? • ST. PETERSBURG PARADOX: HOW MUCH IS INFINITE MONEY WORTH? =========================================== Script, presentation and editing: Daniel Nunes My Instagram: / tem.ciencia ===================================== WATCH ALSO: ???? ARE YOU RATIONAL? (Allais' Paradox and Prospect Theory) • ARE YOU RATIONAL? (Allais' Paradox ... ???? THE BIRTHDAY PARADOX • THE BIRTHDAY PARADOX (how do you ... ???? PRISONERS' DILEMMA and NASH'S EQUILIBRIUM • PRISONERS' DILEMMA and NASH'S EQUILIBRIUM... ???? Mathematics and Sports Betting: HOW TO BREAK THE BANK? • Mathematics and Sports Betting: HOW TO ... ???? THE (almost) IMPOSSIBLE PROBLEM 3 Houses Problem • THE (almost) IMPOSSIBLE PROBLEM Probl... ???? WHY (scientifically) THERE IS NO SCIENTIFIC PROOF • WHY (scientifically) THERE IS NO ... ???? Was MATHEMATICS DISCOVERED or INVENTED? • Was MATHEMATICS DISCOVERED or INVENTED? ???? WHY IS CALCULUS SO HARD? • WHY IS CALCULUS SO HARD? (Or not) ???? WHAT IS IT LIKE TO DO A DOCTORATE IN MATHEMATICS AT IMPA • WHAT IS IT LIKE TO DO A DOCTORATE IN MATHEMATICS... ???? HOW IS THE ENEM SCORE REALLY CALCULATED? • TRI: the MATHEMATICS behind the ENEM SCORE... ???? PageRank: HOW GOOGLE's Mathematical ALGORITHM works • PageRank: HOW GOOGLE's Mathematical ALGORITHM works... ???? A GAME that NOBODY CAN WIN. Here's why. • A GAME that NOBODY CAN WIN. ... ???? WHY DO YOU HAVE FEWER FRIENDS than your friends? • WHY DO YOU have LESS FRIENDS than ... ???? THE ILLUSION of MAJORITY • THE ILLUSION of MAJORITY ???? THE HARDEST QUESTION IN THE HISTORY OF GOOGLE • THE HARDEST QUESTION IN THE HISTORY OF ... ???? WHAT is MATHEMATICS FOR? When will you actually use it? • WHAT is MATHEMATICS FOR? When will you ... ???? WOULD YOU PASS an INTERVIEW with AMAZON? AND MICROSOFT? • WOULD YOU PASS an INTERVIEW with AMAZON... ???? THE PROBLEM with VOLUME FORMULAS that INQUIRED GAUSS • THE BIG PROBLEM with VOLUME FORMULAS ... ???? WHY are there only 5 PLATONIC SOLIDS in 3D? • WHY are there only 5 PLATAN SOLIDS? ???? What is NON-EUCLIDEAN GEOMETRY? - History of Geometry • What is NON-EUCLIDEAN GEOMETRY? - H... ???? THE RING PARADOX • THE RING PARADOX ???? The SECRET Mathematics of things • Where is the Advanced Mathematics in our... ???? HOW was PI CALCULATED (with a matchbox)? • HOW TO CALCULATE PI by throwing MATCHES?