Question

I understand that infinity is a concept, however if one were to do: ∞+1, the answer would remain ∞.

Would the same apply to doing ∞-1?

Answer 1

purple + 3 = purple right?

Answer 2

infinity is not a number ... so dont use it as a number

it is a direction to travel towards

Answer 3

Well you can't even say that \[\infty = \infty + 1 \]
for reasons @amistre64 mentioned above. Technically neither of your statements are valid. What you may be saying is:
\[\lim_{n \rightarrow \infty} n+1=\lim_{n \rightarrow \infty} n-1=\lim_{n \rightarrow \infty} n=\infty\]
At which point you may notice that the concept of infinity is really dependent on your understanding of a limit.

Answer 4

Very interesting, thanks. However, if we imagine a hotel with an infinite amount of rooms, and each room is filled with a guest, surely the hotel can accomodate an extra guest by asking each guest to move along one room? Thus still having an infinite amount of guests?

Answer 5

I don't see how your analogy goes against what I said earlier.

Answer 6

Derp, very true. Many thanks. Is there a way I can reward both of you with points, or can I only shoose one?

Answer 7

i have enough medals; you can choose vf :)

Answer 8

THERE CAN ONLY BE ONE.

Answer 9

lol thx, amistre.

Answer 10

Done, thanks guys. :)