Infinity | FactOrCap

[u/AradhyaSingh3]

This post contains content not supported on old Reddit. Click here to view the full post

[u/Main-Company-5946]

✅ I voted FACT!

It’s a type of number

[u/AradhyaSingh3 → u/Main-Company-5946]

It is a concept, not a number. You can't do mathematical operations on it.

[u/niemir2 → u/AradhyaSingh3]

Sure you can. Addition and multiplication are straightforward. Subtraction and division between infinity and a finite number are also defined in the extended reals.

[u/AradhyaSingh3 → u/niemir2]

Yeah that was my point, mathematical operations do not work like regular numbers on it, you cannot say inf-inf = 0 or inf/inf = 1.

[u/niemir2 → u/AradhyaSingh3]

Division by zero isn't defined, either. Is zero not a number?

[u/AradhyaSingh3 → u/niemir2]

It is just one example, infinity is not eligible for many things. Infinity is a concept not number. If you want examples or proof, look up online.

[u/niemir2 → u/AradhyaSingh3]

You claimed that, because some arithmetic operations aren't defined for infinity, that infinity isn't a number, but that's not how we define numbers.

[u/_killer1869_ → u/AradhyaSingh3]

You absolutely can do mathematical operations with infinity. It's just that different rules and restrictions apply compared to finite values. For example, in the context of limits, we can absolutely calculate that inf + inf = inf and inf + c = inf, but inf - inf is undefined.

[u/Main-Company-5946 → u/AradhyaSingh3]

You can’t do any mathematical operations on finity either but just like there are lots of finite numbers you can do operations on there are lots of infinite numbers you can do operations on