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Could it be Possible ? Maybe Confusion

I was scribbling in my note yesterday, when I thought to write something about infinity algebraic expressions. After many tried sums, I had found out a very strange expression in my note.

As I tried to solve it, I saw something very keen and interesting which is in the image.

Is it true ? I too don't think so, but think maybe could be true Like if agree. . Share if you find confusing and interesting or disagree

Note by Anish Harsha
2 years, 10 months ago

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The fallacy is that \( \infty \) is not a number and does not follow the laws of algebra.

Otherwise, \( \infty = \infty + 1 \implies 1 = 0 \), which is obviously not true.

Siddhartha Srivastava - 2 years, 10 months ago

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Infinity is a concept not a number. Thus it cannot be treated as a number. And also two infinitys are never equal.

Sid 2108 - 2 years, 10 months ago

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If you go by the standard Set Theory, there are like 5 useful types of infinities. For example set of natural numbers is of the same size as the set of all primes.

Miloš Novotný - 2 years, 8 months ago

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I perfectly agree with you. There may be infinite types of infinities

Shreyas Garkhedkar - 2 years, 10 months ago

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You are absolutely true . There are many types of infinities like in various sequences.

Sriram Venkatesan - 2 years, 10 months ago

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\(\infty\) ^2 is not \(\infty\)

Ashwin Upadhyay - 2 years, 10 months ago

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It is

Arulx Z - 2 years, 5 months ago

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OK I didn't know.

Ashwin Upadhyay - 2 years, 5 months ago

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infinity -infinity is not 0

Daniel Deepak - 2 years, 9 months ago

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infinity is concept of numbers but it can't be defined so it's not true

Krishna Bansal - 2 years, 10 months ago

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Thanks for getting me right !

Anish Harsha - 2 years, 6 months ago

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I agree with the others - infinity is a concept, not a number.

But aren't you contradicting your own statement? If [(infinity)^2 = infinity] and [-2infinity2 = infinity], then isn't infinity-2 = infinity??

Kamala Ramakrishnan - 2 years, 8 months ago

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Infinity is used to indicate very large number which we can't even imagine. It is a theoretical concept.

Aman Kumar - 2 years, 8 months ago

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Here lies the fallacy... infinity is a relative concept...its not an absolute number...hence it fails to satisfy laws of algebra...

Rahul Singh - 2 years, 9 months ago

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your 2 infinites are not equal in the second line {unless infintiy is 4, which clearly it isnt as it isnt a fixed number}

Max Dunmore - 2 years, 9 months ago

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infinity is something , which is taken sometimes for FOR DOES NOT EXIST condition or sometimes when we take a very large no.

Shounak Paul - 2 years, 10 months ago

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This reminds me of myself back then. No, infinity is an idea/concept. There's no way you can treat it as a number, thus you can't solve it.

Cheers!

Rahadian Putra - 2 years, 10 months ago

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You have done wrong calculation.

Atanu Ghosh - 2 years, 10 months ago

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I don't exactly know how Infinity works but my teacher once told me that infinity minus infinity is not 0

Lakshya Gupta - 2 years, 10 months ago

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No

Teja Tarun - 2 years, 10 months ago

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Here two things are wrong ..

  1. The laws of algebra hold on real number system , \(\infty\) and \( - \infty\) don't belong to real number system , they can be thought as an extension to real number system.

2 . \(\infty - \infty\) is not defined , it is an indeterminate form.

Shriram Lokhande - 2 years, 10 months ago

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It's = Infinity Because Infinity is a concept not a number. Thus it cannot be treated as a number. And also two infinitys are never equal.

Ahmed Maths - 2 years, 10 months ago

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infinity - infinity is not 0

Tanveen Dhingra - 2 years, 10 months ago

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Check into the Hilbert Hotel.

Janardhanan Sivaramakrishnan - 2 years, 10 months ago

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Infinity isn't a number,its a thing you may say,so you can't treat it as a number

Rifath Rahman - 2 years, 10 months ago

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It is not true. I don't understand what is it .

Kamrunnahar Dipa - 2 years, 10 months ago

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\(\infty - \infty \neq 0 \)

so you can't do like that !!!

Kriti Verma - 2 years, 9 months ago

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If you do what is in the brackets first you get ∞^2... which is still ∞

Eric Hammer - 2 years, 9 months ago

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Lets consider infinite as n for simpler conventions to facilitate operations ...so n is large no. n^2 is of even larger order we cannot add them both as they are of diff orders /or subtract them.

Rishabh Chandra - 2 years, 10 months ago

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