The second highest number is:
99.9(with the bar over the last nine)% x infinity
The second lowest number is:
infinity - [99.9(with the bar over the final nine)% x infinity]
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There are CLASSES of infinity.
Consider this question - are there more even numbers then counting numbers? The answer is no, there are the same amount of each, an Infinite amount.
Are there the same amount of counting numbers (integers) as there are numbers? No.
Here's why:
Consider a group(set) on numbers representing the counting numbers:
{1, 2, 3, 4, 5, 6, ...Infinity}
Consider a set of numbers representing the even numbers
{2, 4, 6, 8, 10, ...Infinity}
Now there are the same amount in each set. You can see that by putting them above eachother: Vis
{1, 2, 3, 4, 5, 6, ...Infinity}
{2, 4, 6, 8, 10, 12, ...Infinity}
They map out. No matter how many you add (or count) in each set, there are still the same amount.
But that doesn't happen when you include irrational numbers. You can map out the numbers between 1 and 2 against infinity, and the numbers between 2 and three against infinity etc. So you have a bigger infinity as it were. (this is all kosher maths, I can't remember the blokes name who came up with it).
Anyways, I'm not sure what the point is - oh hang on - Which infinity-1 are we talking about? Well, either that or trying to show off the only thing I remember from an advanced maths course...[/b]