## SheldonEinstein 3 years ago Can we say that : infinity = infinity ?

1. estudier

infinity is not a number

2. SheldonEinstein

$\large{\frac{2}{0} =\frac{1}{0} = \infty }$

3. estudier

U may talk about the cardinality of some set being equal to that of some other set.

4. estudier

2/0 and 1/0 are not defined (because infinity is not a number)

5. SheldonEinstein

then what is infinity sir?

6. estudier

Whatever u define it as (provided that definition does not create inconsistency)

7. SheldonEinstein

Wikipedia says : it can be often referred to as number but it is not exactly a number like real numbers.

8. estudier

Infinity is not a number.

9. SheldonEinstein

OK, got it now! Thanks @estudier sir and @nincompoop

10. estudier

yw

11. SheldonEinstein

I always do, I wonder is there anything real in this world? Or all are just imaginary.. Do 1 exist ? Do 2 exist? :)

12. estudier

Philosophy forum --->

13. SheldonEinstein

That was only comment sir, no discussion is likely to be carried on here on that comment. Thanks!

14. estudier

What mathematics does (in the usual model) is to posit (stipulate) the existence of an infinite set (the natural numbers). Then all the other infinite sets used by mathematics follow on from that axiom.

15. ParthKohli

No, infinity is not a number. And 1/0 is not infinity.

16. SheldonEinstein

Short and sweet ^

17. ParthKohli

Thanks Shelly.

18. SheldonEinstein

:)

19. estudier

Once upon a time, maths and physics were the same subject....

20. UnkleRhaukus

Aleph number $\large\aleph$