# 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
6 years, 6 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.

- 6 years, 6 months ago

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

- 6 years, 6 months ago

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

- 6 years, 5 months ago

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.

- 6 years, 4 months ago

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

- 6 years, 6 months ago

$\infty$ ^2 is not $\infty$

- 6 years, 5 months ago

It is

- 6 years, 1 month ago

OK I didn't know.

- 6 years, 1 month ago

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

- 6 years, 5 months ago

infinity -infinity is not 0

- 6 years, 4 months ago

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

- 6 years, 5 months ago

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

- 6 years, 5 months ago

Check into the Hilbert Hotel.

- 6 years, 5 months ago

infinity - infinity is not 0

- 6 years, 5 months ago

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.

- 6 years, 5 months ago

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.

- 6 years, 5 months ago

No

- 6 years, 5 months ago

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

- 6 years, 5 months ago

You have done wrong calculation.

- 6 years, 5 months ago

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!

- 6 years, 5 months ago

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

- 6 years, 5 months ago

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

- 6 years, 5 months ago

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

- 6 years, 5 months ago

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

- 6 years, 4 months ago

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??

- 6 years, 3 months ago

Thanks for getting me right !

- 6 years, 1 month ago

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.

- 6 years, 5 months ago

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

- 6 years, 5 months ago

$\infty - \infty \neq 0$

so you can't do like that !!!

- 6 years, 4 months ago