My friend asked me what is the meaning of this video. It states that only "genius mathematicians" can understand. Well, I am not a genius so I don't know what is it talking about. Personally, I don't think that this is a video that expresses some profound thinkings. However, here is the link.

Hope you all can give some comments!

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TopNewestThis is from George Orwell's "1984", where Winston Smith, under torture and interrogation, is forced to say that party apparatchik O'Brien is holding up 5 fingers, when he knows he's only holding up 4 fingers. I don't think it takes a "genius mathematician" to understand how ideologies tend to force people into thinking and saying only certain proscribed things. Even though "1984" is supposedly a futuristic tale, information and thought control goes back thousands of years, as means of maintaining political power.

What's probably true is that "genius mathematicians" are adverse to rote or standardized thinking, which is a major problem today in American schools pretending to be teaching "math". – Michael Mendrin · 2 years, 6 months ago

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– Christopher Boo · 2 years, 6 months ago

Thanks for your explanation!Log in to reply

Welcome to my sixth grade classroom, Foundations of Algebra! :D – Finn Hulse · 2 years, 6 months ago

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Nice video Christopher...!!!:) – Abhineet Nayyar · 2 years, 6 months ago

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My dad taught me this when I was 8

\( -20 = -20 \)

\( = 16 - 36 = 25 - 45 \)

\( = 16 - 36 + \frac{81}{4} = 25 - 45 + \frac{81}{4} \)

\( = 4^{2} - 2 \times 4 \times \frac{9}{2} + ( \frac{9}{2} )^{2} = 5^{2} - 2 \times 5 \times \frac{9}{2} + ( \frac{9}{2} )^{2} \)

\( = a^{2} - 2ab + b^{2} = a^{2} - 2ab + b^{2} \)

\( = (a-b)^{2} = (a-b)^{2} \)

\( = ( 4 - \frac{9}{2} )^{2} = (5 - \frac{9}{2} )^{2} \)

\( = ( 2 + 2 - \frac{9}{2} )^{2} = (5 - \frac{9}{2} )^{2} \)

\( \implies 2 + 2 - \frac{9}{2} = 5 - \frac{9}{2} \)

\( \implies 2 + 2 = \boxed{5} \)

P.S. Of course it is incorrect ;) There is a very minute trick – Muzaffar Ahmed · 2 years, 6 months ago

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– Michael Mendrin · 2 years, 6 months ago

So THAT's what O'Brien was trying to explain to Winston Smith. Four fingers is indeed FIVE.Log in to reply

– Muzaffar Ahmed · 2 years, 6 months ago

Yep it isLog in to reply

– Abhineet Nayyar · 2 years, 6 months ago

It can be said that 2+2=5 but how can u say that if the squares of two numbers is equal than the numbers are also equal...for example, 4=4 but root 4 is not equal to root 4...as it can be +2 as well as -2...good explanation though Muzzafar...I was surprised for a moment...haha!!Log in to reply

\( ( 4 - \frac{9}{2} )^{2} = ( 5 - \frac{9}{2} )^{2} \)

\( = ( - \frac{1}{2} )^{2} = (\frac{1}{2} )^{2} \)

\( = \frac{1}{4} = \frac{1}{4} \) – Muzaffar Ahmed · 2 years, 6 months ago

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– Abhineet Nayyar · 2 years, 6 months ago

Moreover, u took letter 'a' as one variable but it has two different values which can't be true...One side a=4 and the other side a=5....Log in to reply

There is a mistake :P ;) – Muzaffar Ahmed · 2 years, 6 months ago

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– Christopher Boo · 2 years, 6 months ago

Thanks!Log in to reply

– Sara Sharma · 2 years, 2 months ago

You took same variable ( a ) on both sides but with different valueLog in to reply