If infinity is the highest possible number, is 2 closer to infinity than 1? Why or why not?

[Ramankholi]

This is so tricky...!

 

[Dr.Peterson]

If infinity is the highest possible number, is 2 closer to infinity than 1? Why or why not?

This is so tricky...!

But infinity is not the highest possible number. It isn't even a number. So the question makes no sense.

 

[Mr. Bland]

Infinity doesn't behave like a number, and anything that "equals infinity" is a convenient way to describe a limitless expression. It can't be said that [MATH]\infty - 1 < \infty[/MATH], for instance. Attempting to conceptualize it like a number will lead to many confusing, sometimes contradictory observations.

 

[pka]

This is so tricky...!

This is true there are exactly as many integers in \([1,\infty)\) as there are in \([100,\infty)\).
For \(\forall n\in[1,\infty)\) define \(\Theta(n)=n+99\). It is easy to show that \(\Theta\) is one-to-one and onto.

 

[Steven G]

There are an infinite number of different types of infinity!

 

[HallsofIvy]

"There are a nominal number of numbers, you know,
And the more that they number, the number I grow."
Pogo (Art Kelly)