Why does infinity not exist?

In this context, infinity does not exist. In the context of a topological space, in which “infinity” would mean something that certain sequences of numbers converge to. So there does not exist any one single “infinity” concept; instead, there exists a whole collection of things called “infinite cardinal numbers”.

Can an actual infinity exist?

“Actual infinity does not exist. What we call infinite is only the endless possibility of creating new objects no matter how many exist already. ” H. Poincar e (1854-1912). “Every infinity is potential.” Aristotle (384 BC – 322 BC) “Actual infinity exists” Geprge Cantor (1845-1918) It is a very controversial question.

Can a physical object be infinite?

By infinitely big, I mean that space can have infinite volume, that time can continue forever, and that there can be infinitely many physical objects. So, strictly speaking, we physicists can no longer predict anything at all!

Is infinity real in physics?

So, infinity is not real in the scientific sense. Nevertheless, physicists use infinity all the time. But you would have to measure infinitely precisely to show that you really have something of zero size. So you can only ever show it’s smaller than whatever your measurement precision allows.

When do you say infinity does not exist?

In the context of a number system, in which “infinity” would mean something one can treat like a number. In this context, infinity does not exist. In the context of a topological space, in which “infinity” would mean something that certain sequences of numbers converge to.

Is there such a thing as an infinity set?

in which “infinity” means a measurement of the size of an infinite set. In this context, such “infinity” concepts do exist but there are more than one of them, since not all infinite sets have the same size.

What does Infinity mean in a number system?

In the context of a number system, in which “infinity” would mean something one can treat like a number. In this context, infinity does not exist. In the context of a topological space, in which “infinity” would mean something that certain sequences of numbers converge to. In this context, infinity does exist.

What does Infinity mean in a topological space?

In this context, infinity does not exist. In the context of a topological space, in which “infinity” would mean something that certain sequences of numbers converge to. In this context, infinity does exist. In the context of measuring sizes of sets, in which “infinity” means a measurement of the size of an infinite set.