Here is a wonderful paradox due to Paul Curry that challenges our beliefs on how area behaves. In this video I show the paradox, resolve paradox, and then in parts II and III of the video show how I use the paradox in teaching.
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@alchemistforgold37935 жыл бұрын
Love your explanation of the Curry's paradox!
@MichaPawlickiTenFajny10 жыл бұрын
Oh thank you for,understanding this!
@tinypeterrabbit Жыл бұрын
It is one in the morning but I saw the Curry's Paradox for the first time ever while scrolling Tumblr and needed to know where the extra space was coming from immediately. Thank you so much for the explanation! It's funny that the human brain ignores things (like slight changes in slope) to keep with the larger picture.. I guess that can be said about a lot of things huh? Great video 👍
@EXPLORADVEN Жыл бұрын
Awesome Explanation 🙏🙏🙏🙏
@bernardomesilva11 жыл бұрын
Nice video and good explantion. :)
@aldoraine784810 жыл бұрын
Oh man I don´t understand everything, because I am from Germany, but I love it! Nice Video! Thanks for the upload!
@JimGiant9 жыл бұрын
The area of the bulge is surely half a square in the other configuration the area of the indent should be half a square so added together they account for the missing square.
@reformandpurify48735 жыл бұрын
Could you make a video of it with cake?
@mafioza2413 жыл бұрын
very nice =)
@Capturing-Memories9 жыл бұрын
so in geometry the theory that says that two parallel lines crossed by another line in an angle both angles formed by the crossed line and the parallel lines should be perfectly equal, I'm referring to the sharpest angles of both yellow and purple triangles, if those angles are perfectly equal the line formed by those triangles should a straight line in both cases.
@Kaianacoel11 жыл бұрын
Very very nice video! I knew there was something fishy with the first example, the lines were noticeably not straight :D Less so with the second one, to be honest. Thank you for explaining this paradox. I see your other videos on the right, and I'm going to watch them now :D For !!SCIENCE!!
@SolLederman13 жыл бұрын
Nice video. It's also worth exploring how the Fibonacci series is involved in the creation of the paradox.
@joshlara82372 жыл бұрын
Man this world has stuff that can melt my brain n we haven't ever even been on other planets or know earth 100% yet
@benjamindorsey20583 жыл бұрын
Thank u!!
@MagicVijayTamil11 жыл бұрын
sir pls send correct measurement for TRIANGLE PUZZLE demonstrated in the first part of this video
@pedrooavz11 жыл бұрын
What could go wrong if I try to do this with chocolate?
@nickmicheli93010 жыл бұрын
I'm still confused. Even in the first triangle (displayed at 2:50) has a change in the slope partially up the hypotenuse.
@niclasfilms13 жыл бұрын
7 years late, but I think the difference in area between the bulge in the second one and the notch in the first one (that kite like form) should have the area of exactly one square unit. That exact difference in area is then seen in the hole in the bottom right
@GUISCHOL3 жыл бұрын
Wow, das ist wirklich colle MATHEMATIK. In der Antike war Rechnen und Geometrie stark miteinander verbunden. Hätten die alten Griechen ein Problem mit diesem Video gehabt? Wow, that's really cool MATHEMATICS. In ancient times, arithmetic and geometry were strongly connected. Would the ancient Greeks have had a problem with this video?
@StefanTravis8 жыл бұрын
So this would be a _visual_ falsidical paradox. One where the obscured error isn't in ambiguous terms, division by zero, unstated premises etc., but in how we look at diagrams.
@KanoBoom4 жыл бұрын
Notice how the length form a fibonacci sequence
@mathpro019 жыл бұрын
See the remark by Sol Lederman.
@Bilanski3 жыл бұрын
Can someone explain, how we come on 3/5 hypotenuse? I used The Pythagorean Theorem and didn't come on the same answer. Pls , my brains need information.
@Bilanski3 жыл бұрын
A2+B2=C2 (2^2+5^2)^1/2=hypontenus
@Bilanski3 жыл бұрын
5.38516480713
@Cyberdactyl10 жыл бұрын
It is close, but not quite, as bizarre as the Monty Hall 3 Door Problem.
@dangar524 жыл бұрын
Paul Curry is a magician. I have read that Curry's Paradox is attributed to logician Haskell Curry, NOT Paul. What is your source for this?
@mandebo2 жыл бұрын
Different paradox and different Curry
@straightwhiteman75510 жыл бұрын
Did you watch the video? He explained it very clearly lol...
@guitardude1257 жыл бұрын
merely an illusion. the slope of the two triangles are not equal. You can see the convexity and concavity between the two arranged shapes. that is where the "missing" area is
@MyTimelord116 жыл бұрын
Peyton Wilson you can see they are. He used dots to show that the angles are the same both times.
@user-hl4yk3vf6q11 жыл бұрын
that is funnnnny
@QueueWithACapitalQ4 жыл бұрын
I noticed the first triangle bulged but didn’t think anything of it
@terrycook58789 жыл бұрын
QI brought me here. Stephen Fry tricks you into learning.
@gurdatsingh62743 жыл бұрын
I want to make the puzzle but I am failing every time
@stvltiloqvent10 жыл бұрын
if your heart is a triangle
@saedabumokh95779 жыл бұрын
see 0:14 then immediately see 1 :45
@mexicaniggy16911 жыл бұрын
paused video just after 1:27 , rode my bike to Carvel, bought a cookie puss, sped home, cut into proper triangle, as shown above, unpause..... 3:41 >8O . A part of me still holds out hope for Fudgie the whale.
@tomtomspa10 жыл бұрын
the area you underline, is not 1 unit squared, it is half unit squared!
@mudchair1611 жыл бұрын
Sorcery. He shall burn.
@glenarth9 жыл бұрын
i wish i was high on potenuse
@booni51149 жыл бұрын
glenarth Key & Peele
@stza168 жыл бұрын
+glenarth I am so high on potenuse right now.
@MyTimelord116 жыл бұрын
I'm stoned. And this was amazing.
@user-dd1um4fh5w4 жыл бұрын
0:14 1:45
@mortendahl55522 жыл бұрын
Things don't become "paradoxes" just because you are easy to fool
@williswicked11 жыл бұрын
how the fuck did he do that
@shushilpant79153 жыл бұрын
1:45
@aarongoldsmith99678 жыл бұрын
I like the paradox. But, area is b*h/2.
@wills82888 жыл бұрын
This is deceptive and stupid. Certainly not a paradox.
@petibosco11 жыл бұрын
stop la branlette, va produire et realiser tes theories avec tes mains..... La pensee, egale et rivale de la main, l'une ne peut rien sans l'autre. Parle en clair de ton idee et de son aboutissement reel et palpable. stop aux palabres et autres performances aproximatives basees sur du papier. bon courage qqmm