Question

I have a philosophical question right here. I wonder if it is correct to say infinity = infinity?

Answer 1

infinity is a direction, it is not a discrete amount.

Answer 2

if we try to use it as some distinct value then: infinity + 1 = infinity is a true and a false statement.

Answer 3

How about when we say x goes to infinity, isn't x goes to infinity as a quantity? Or we define infinity as some kind of pointer like in computers, adresses to x's amount at that point in that direction?

Answer 4

By the way, do you remember me? It have been years since I asked a question here and see you answering it.

Answer 5

youre familiar to me :) as x gets larger and larger, it grows beyond bound ... it approaches infinity.

Answer 6

in certain math courses, infinity can be given a specific definition so that you could possibly say infinity = infinity .... but its the courses definition on how they are using the term that matters most.

Answer 7

Ok, that is helpful.

It is, in some way, about what our choice of reference frame and perspective then,... Do you know any book that I can read on the subject or one that touches the subject at some part of it?

Answer 8

not sure if i know of any books perse. a title comes to mind, but how relevant it is i wouldnt know. the man who knew infinity ... its a biography on ramanujan i believe.

Answer 9

if memory serves, cantor played with the semantics of infinity when he was trying to develop has theory on countable/uncountable sets.

Answer 10

Just found it!! Thanks.