## ElectonicSpark 3 years ago 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?

1. amistre64

purple + 3 = purple right?

2. amistre64

infinity is not a number ... so dont use it as a number it is a direction to travel towards

3. vf321

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.

4. ElectonicSpark

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?

5. vf321

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

6. ElectonicSpark

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

7. amistre64

i have enough medals; you can choose vf :)

8. vf321

THERE CAN ONLY BE ONE.

9. vf321

lol thx, amistre.

10. ElectonicSpark

Done, thanks guys. :)