Can Anyone Explain the 1=2 Trick I Was Shown?

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The discussion centers around a mathematical trick that seemingly proves 1=2, which relies on invalid proofs and the concept of dividing by zero. Participants mention that such tricks can be found extensively online, particularly on Wikipedia under 'Invalid Proofs.' While some express disdain for these tricks, arguing they offer little value, others believe they can spark interest in mathematics among younger audiences. The conversation highlights the balance between appreciating mathematical curiosities and focusing on more substantial mathematical concepts. Overall, the trick serves as a gateway to deeper mathematical exploration.
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I was once shown a cool little trick that "proved" 1=2 and i was wondering if anyone knew what it was or where i could find it, thanks.
 
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I just typed 1 = 2 in the Wikipedia search box and it led me to the page for 'Invalid Proofs'. You might also want to google it.
 
There a thousands of 'em, all relying on the fact that dividing by 0 is not allowed. Just devise your own.
 
x^2 - x^2 = x^2 - x^2

x(x-x)=(x-x)(x+x) Supposedly, the (x-x)'s cancel out, though it equals zero so you can't divide by it.

x= x+x

In other words, 1=2
 
Tido611 said:
I was once shown a cool little trick that "proved" 1=2 and i was wondering if anyone knew what it was or where i could find it, thanks.

I generally despise such tricks, because as mentioned above, once you see one, you have pretty much seen them all. There are apparently over 36 million hits on Google using the term '"1=2" proof'. You could always spend the time on other things in mathematics than this :-p
 
Oh, come on, u don't need to despise them. It could be of great benefit to kids out there who for their first time had seen something unusual. This might inspire them to become the next person to solve riemann's conjecture or unifry all forces of nature. Just like Andrew Wiles who was inspired during his youth to solve FLT.

I first saw this 1=2 business when i was 15, amazed me to no end and made my interest in maths grew even more . haha

EmilK said:
I generally despise such tricks, because as mentioned above, once you see one, you have pretty much seen them all. There are apparently over 36 million hits on Google using the term '"1=2" proof'. You could always spend the time on other things in mathematics than this :-p
 

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