Uploaded April 2018 | Updated September 2026, 2 weeks ago
Most people think of paradoxes as unanswerable, contradictory questions deliberately designed to confuse you for no good reason. But they’re actually a lot more complex than that; some paradoxes can be answered even if they seem impossible, and others are obviously wrong... but it may take thousands of years of human experience and the invention of calculus to prove why.
Join Kevin, some action figures, three envelopes and a whole lot of whiteboard doodles as you discover the three types of paradoxes: Veridical, Falsidical and Antinomy, and why each one plays a unique role in how we process the world around us -- including finally learning how there’s a mathematical explanation for why you should always switch doors in Monty Hall’s classic game show.
*** SOURCES LINKS AND MORE ***
“The Ways of Paradox and Other Essays” by Willard Van Orman Quine: amazon.com/Ways-Paradox-Other-Essays-Revised/dp/0674948378
Zeno of Elea, Stanford Encyclopedia of Philosophy: https://plato.stanford.edu/entries/zeno-elea/
Zeno’s Paradoxes, Stanford Encyclopedia of Philosophy: https://plato.stanford.edu/entries/paradox-zeno/
Convergent Series, Khan Academy: khanacademy.org/math/calculus-home/series-calc/seq-conv-diverg-calc/v/convergent-and-divergent-sequences
“Game Show Problem” by Marilyn vos Savant, Parade Magazine, 1990: marilynvossavant.com/game-show-problem
“Solution to the Grandfather Paradox” by minutephysics: youtu.be/XayNKY944lY
“The Faint Young Sun Paradox!” by MinuteEarth: youtu.be/qbnaes8X4iQ
***********************************
Vsauce Links
Website: Vsauce.com
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Facebook: facebook.com/VsauceTwo
Hosted, Produced, Writing Contributions And Edited by Kevin Lieber
Instagram: instagram.com/kevlieber
Twitter: twitter.com/kevinlieber
Website: kevinlieber.com
Research And Writing Contributions by Matthew Tabor
twitter.com/matthewktabor
Writing Contributions by Michael Stevens
youtube.com/Vsauce
VFX By Eric Langlay
youtube.com/c/ericlanglay
Special Thanks Paula Lieber
etsy.com/shop/Craftality
Select Music By Jake Chudnow: youtube.com/user/JakeChudnow
Most people think of paradoxes as unanswerable, contradictory questions deliberately designed to confuse you for no good reason. But they’re actually a lot more complex than that; some paradoxes can be answered even if they seem impossible, and others are obviously wrong... but it may take thousands of years of human experience and the invention of calculus to prove why.
Join Kevin, some action figures, three envelopes and a whole lot of whiteboard doodles as you discover the three types of paradoxes: Veridical, Falsidical and Antinomy, and why each one plays a unique role in how we process the world around us -- including finally learning how there’s a mathematical explanation for why you should always switch doors in Monty Hall’s classic game show.
*** SOURCES LINKS AND MORE ***
“The Ways of Paradox and Other Essays” by Willard Van Orman Quine: amazon.com/Ways-Paradox-Other-Essays-Revised/dp/0674948378
Zeno of Elea, Stanford Encyclopedia of Philosophy: https://plato.stanford.edu/entries/zeno-elea/
Zeno’s Paradoxes, Stanford Encyclopedia of Philosophy: https://plato.stanford.edu/entries/paradox-zeno/
Convergent Series, Khan Academy: khanacademy.org/math/calculus-home/series-calc/seq-conv-diverg-calc/v/convergent-and-divergent-sequences
“Game Show Problem” by Marilyn vos Savant, Parade Magazine, 1990: marilynvossavant.com/game-show-problem
“Solution to the Grandfather Paradox” by minutephysics: youtu.be/XayNKY944lY
“The Faint Young Sun Paradox!” by MinuteEarth: youtu.be/qbnaes8X4iQ
***********************************
Vsauce Links
Website: Vsauce.com
Twitter: twitter.com/VsauceTwo
Facebook: facebook.com/VsauceTwo
Hosted, Produced, Writing Contributions And Edited by Kevin Lieber
Instagram: instagram.com/kevlieber
Twitter: twitter.com/kevinlieber
Website: kevinlieber.com
Research And Writing Contributions by Matthew Tabor
twitter.com/matthewktabor
Writing Contributions by Michael Stevens
youtube.com/Vsauce
VFX By Eric Langlay
youtube.com/c/ericlanglay
Special Thanks Paula Lieber
etsy.com/shop/Craftality
Select Music By Jake Chudnow: youtube.com/user/JakeChudnow




![Making A Math Murderer
Just think of all the questions that arise when a seemingly-healthy baby dies. Was there an illness that went undetected? Was there a rare genetic defect that couldn’t possibly have been known? Are any signs of physical trauma related to the resuscitation efforts of a fragile infant, or something more sinister? Every time a baby dies, police investigate with a host of complex questions to determine whether the death is natural and accidental, or… not. And the odds are anything but clear.
So what do we do when it happens twice to the same person? What are the odds of THAT?
A British mother named Sally Clark suffered two separate tragedies with the deaths of her infant sons. Her resulting trial for murder included expert testimony from Sir Roy Meadow, a noted expert on child abuse cases. And Meadow’s misuse of conditional probability painted Sally Clark as perpetrator rather than a victim.
Math is often theoretical, but sometimes doing it right is the difference between life and death.
*** PARTIAL LIST OF SOURCES ***
Ben-Israel, Adi. “Using Statistical Evidence in Courts: What Went Wrong in the Case of Sally Clark?” http://ben-israel.rutgers.edu/711/Sally_Clark.pdf
Dyer, Clare. “Falsely Convicted Sally Clarke Dies Suddenly.” BMJ: British Medical Journal, vol. 334, no. 7594, BMJ, 2007, pp. 602–03, http://www.jstor.org/stable/20506708.
General Medical Council v. Meadow, England and Wales Court of Appeals (Civil Division), http://www.bailii.org/ew/cases/EWCA/Civ/2006/1390.html
Nobles, Richard, and David Schiff. “A Story of Miscarriage: Law in the Media.” Journal of Law and Society, vol. 31, no. 2, [Cardiff University, Wiley], 2004, pp. 221–44, http://www.jstor.org/stable/1410525.
Scheurer, Vincent. “Convicted on Statistics?” http://understandinguncertainty.org/node/545
Schneps, L., & Colmez, C. (2013). Math on trial: How numbers get used and abused in the courtroom. https://www.amazon.com/Math-Trial-Numbers-Abused-Courtroom/dp/0465032923
Watkins SJ. Conviction by mathematical error? Doctors and lawyers should get probability theory right. BMJ. 2000;320(7226):2-3. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1117305/
Webster, Richard. “Roy Meadow and the Statistics of Cot Deaths.” http://www.richardwebster.net/cotdeaths.html
*** LINKS ***
Vsauce2:
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Talk Vsauce2 in The Create Unknown Discord: https://discord.gg/tyh7AVm
Vsauce2 on Reddit: https://www.reddit.com/r/vsauce2/
Hosted and Produced by Kevin Lieber
Instagram: https://instagram.com/kevlieber
Twitter: https://twitter.com/kevinlieber
Podcast: https://www.youtube.com/thecreateunknown
Research and Writing by Matthew Tabor
https://twitter.com/TaborTCU
Editing by John Swan
https://www.youtube.com/channel/UCJuSltoYKrAUKnbYO5EMZ2A
Huge Thanks To Paula Lieber
https://www.etsy.com/shop/Craftality
Vsauces Curiosity Box: https://www.curiositybox.com/
#education #vsauce #crime Making A Math Murderer](https://i.ytimg.com/vi/mLEWj-61a4I/mqdefault.jpg)





