Math of the impossible

Learn more at -- Ever since Einstein published his Special Theory of Relativity, one equation has been the bane of humans hoping to explore the stars: E=mc². In addition to informing our understanding of gravity, space, and time, this formula implies that traveling at or beyond light speed is impossible. Why is that? Lindsay DeMarchi and Fabio Pacucci explain the physics behind this unbreakable speed limit. Lesson by Lindsay DeMarchi and Fabio Pacucci, directed by Igor Ćorić, Artrake Studio. This video made possible in collaboration with Brilliant Learn more about how TED-Ed partnerships work: Support Our Non-Profit Mission ---------------------------------------------- Support us on Patreon: Check out our merch: ---------------------------------------------- Connect With Us ---------------------------------------------- Sign up for our newsletter: Follow us on Facebook: Find us on Twitter: Peep us on Instagram: ---------------------------------------------- Keep Learning -------------

Learn more at -- Ever since Einstein published his Special Theory of Relativity, one equation has been the bane of humans hoping to explore the stars: E=mc². In addition to informing our understanding of gravity, space, and time, this formula implies that traveling at or beyond light speed is impossible. Why is that? Lindsay DeMarchi and Fabio Pacucci explain the physics behind this unbreakable speed limit. Lesson by Lindsay DeMarchi and Fabio Pacucci, directed by Igor Ćorić, Artrake Studio. This video made possible in collaboration with Brilliant Learn more about how TED-Ed partnerships work: Support Our Non-Profit Mission ---------------------------------------------- Support us on Patreon: Check out our merch: ---------------------------------------------- Connect With Us ---------------------------------------------- Sign up for our newsletter: Follow us on Facebook: Find us on Twitter: Peep us on Instagram: ---------------------------------------------- Keep Learning -------------

Explore Gödel’s Incompleteness Theorem, a discovery which changed what we know about mathematical proofs and statements. -- Consider the following sentence: “This statement is false.” Is that true? If so, that would make the statement false. But if it’s false, then the statement is true. This sentence creates an unsolvable paradox; if it’s not true and it’s not false– what is it? This question led a logician to a discovery that would change mathematics forever. Marcus du Sautoy digs into Gödel’s Incompleteness Theorem. Lesson by Marcus du Sautoy, directed by BASA. Support Our Non-Profit Mission ---------------------------------------------- Support us on Patreon: Check out our merch: ---------------------------------------------- Connect With Us ---------------------------------------------- Sign up for our newsletter: Follow us on Facebook: Find us on Twitter: Peep us on Instagram: ---------------------------------------------- Keep Learning -------------------------------------------

Explore Gödel’s Incompleteness Theorem, a discovery which changed what we know about mathematical proofs and statements. -- Consider the following sentence: “This statement is false.” Is that true? If so, that would make the statement false. But if it’s false, then the statement is true. This sentence creates an unsolvable paradox; if it’s not true and it’s not false– what is it? This question led a logician to a discovery that would change mathematics forever. Marcus du Sautoy digs into Gödel’s Incompleteness Theorem. Lesson by Marcus du Sautoy, directed by BASA. Support Our Non-Profit Mission ---------------------------------------------- Support us on Patreon: Check out our merch: ---------------------------------------------- Connect With Us ---------------------------------------------- Sign up for our newsletter: Follow us on Facebook: Find us on Twitter: Peep us on Instagram: ---------------------------------------------- Keep Learning -------------------------------------------

View full lesson: A bump on the head, a mysterious femme fatale and a strange encounter on a windswept peak all add up to a heck of a night for Manny Brot, Private Eye. Watch as he tries his hand at saving the dame and getting the cash! Shudder at the mind-bending geometric riddles! Thrill to the stunning solution of The Case of the Missing Fractals. Lesson by Alex Rosenthal and George Zaidan, animation by TED-Ed.

View full lesson: A bump on the head, a mysterious femme fatale and a strange encounter on a windswept peak all add up to a heck of a night for Manny Brot, Private Eye. Watch as he tries his hand at saving the dame and getting the cash! Shudder at the mind-bending geometric riddles! Thrill to the stunning solution of The Case of the Missing Fractals. Lesson by Alex Rosenthal and George Zaidan, animation by TED-Ed.

View full lesson: In 1997, Brazilian football player Roberto Carlos set up for a 35 meter free kick with no direct line to the goal. Carlos’s shot sent the ball flying wide of the players, but just before going out of bounds it hooked to the left and soared into the net. How did he do it? Erez Garty describes the physics behind one of the most magnificent goals in the history of football. Lesson by Erez Garty, animation by TOGETHER.

View full lesson: In 1997, Brazilian football player Roberto Carlos set up for a 35 meter free kick with no direct line to the goal. Carlos’s shot sent the ball flying wide of the players, but just before going out of bounds it hooked to the left and soared into the net. How did he do it? Erez Garty describes the physics behind one of the most magnificent goals in the history of football. Lesson by Erez Garty, animation by TOGETHER.

View full lesson on ed.ted.com: Have you ever sat in a doctor’s office for hours, despite having an appointment? Has a hotel turned down your reservation because it’s full? Have you been bumped off a flight that you paid for? These are all symptoms of overbooking, a practice where businesses sell or book more than their capacity. So why do they do it? Nina Klietsch explains the math behind this frustrating practice. Lesson by Nina Klietsch, animation by Anton Trofimov.

View full lesson on ed.ted.com: Have you ever sat in a doctor’s office for hours, despite having an appointment? Has a hotel turned down your reservation because it’s full? Have you been bumped off a flight that you paid for? These are all symptoms of overbooking, a practice where businesses sell or book more than their capacity. So why do they do it? Nina Klietsch explains the math behind this frustrating practice. Lesson by Nina Klietsch, animation by Anton Trofimov.