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

## Comments

Sort by:

TopNewestThe 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, 8 months ago

Log in to reply

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, 7 months ago

Log in to reply

– Miloš Novotný · 2 years, 6 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.Log in to reply

– Shreyas Garkhedkar · 2 years, 7 months ago

I perfectly agree with you. There may be infinite types of infinitiesLog in to reply

– Sriram Venkatesan · 2 years, 7 months ago

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

\(\infty\) ^2 is not \(\infty\) – Ashwin Upadhyay · 2 years, 7 months ago

Log in to reply

– Arulx Z · 2 years, 3 months ago

It isLog in to reply

– Ashwin Upadhyay · 2 years, 3 months ago

OK I didn't know.Log in to reply

infinity -infinity is not 0 – Daniel Deepak · 2 years, 6 months ago

Log in to reply

infinity is concept of numbers but it can't be defined so it's not true – Krishna Bansal · 2 years, 7 months ago

Log in to reply

Thanks for getting me right ! – Anish Harsha · 2 years, 3 months ago

Log in to reply

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 [-2

infinity2 = infinity], then isn't infinity-2 = infinity?? – Kamala Ramakrishnan · 2 years, 5 months agoLog in to reply

Infinity is used to indicate very large number which we can't even imagine. It is a theoretical concept. – Aman Kumar · 2 years, 5 months ago

Log in to reply

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, 7 months ago

Log in to reply

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, 7 months ago

Log in to reply

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, 7 months ago

Log in to reply

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, 7 months ago

Log in to reply

You have done wrong calculation. – Atanu Ghosh · 2 years, 7 months ago

Log in to reply

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, 7 months ago

Log in to reply

No – Teja Tarun · 2 years, 7 months ago

Log in to reply

Here two things are wrong ..

2 . \(\infty - \infty\) is not defined , it is an indeterminate form. – Shriram Lokhande · 2 years, 7 months ago

Log in to reply

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, 7 months ago

Log in to reply

infinity - infinity is not 0 – Tanveen Dhingra · 2 years, 7 months ago

Log in to reply

Check into the Hilbert Hotel. – Janardhanan Sivaramakrishnan · 2 years, 7 months ago

Log in to reply

Infinity isn't a number,its a thing you may say,so you can't treat it as a number – Rifath Rahman · 2 years, 7 months ago

Log in to reply

It is not true. I don't understand what is it . – Kamrunnahar Dipa · 2 years, 7 months ago

Log in to reply

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

so you can't do like that !!! – Kriti Verma · 2 years, 6 months ago

Log in to reply

If you do what is in the brackets first you get ∞^2... which is still ∞ – Eric Hammer · 2 years, 6 months ago

Log in to reply

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, 7 months ago

Log in to reply