Infinity is the term used to describe something with no end.
Most of us should have known this since elementary school.
However, what many do not know is that there are different kinds of infinity.
Imagine a standard 12-inch ruler. If I asked you to tell me how many times you could divide the space between the number 0 and the number 1 on the ruler, you would reply “Well, I could keep dividing that space forever..” and you would be correct.
There are an infinite number of real numbers between 0 and 1.
Now what about this:
Imagine the same 12-inch ruler. If I asked you how many times you could divide the space between the number 0 and the number 12, what would you say? Again, the answer is infinity. However, it is obvious that this infinity is MUCH larger than the infinity located between 0 and 1.
There are an infinite number of real numbers between 0 and 1. There are 12 times as many real numbers from 0 to 12.
So how do we distinguish between different sized infinities?
We can just call one set of data “infinity” and call another set of data a “larger infinity”.
And yes, Blowfish.’s post reminded of this.