2009-03-13, 02:14 AM
There 2 types of infinities, convergence and divergence (sp?).
Convergence is where you see something like
0.9999999999999 {repeats}, which converges to 1
Divergence (as Celine Dion puts: "my heart will go on and on and on and on and on and on and on ..... ") is something that expands forever, eg the sequence I posted. Diverging limits cannot have mathematical operations done to them.
As for the number system, if you're to remove one set of numbers, eg improper fractions, then the amount of numbers is still just as dense. Why? because there is an unlimited amount of combination of numbers.
Convergence is where you see something like
0.9999999999999 {repeats}, which converges to 1
Divergence (as Celine Dion puts: "my heart will go on and on and on and on and on and on and on ..... ") is something that expands forever, eg the sequence I posted. Diverging limits cannot have mathematical operations done to them.
As for the number system, if you're to remove one set of numbers, eg improper fractions, then the amount of numbers is still just as dense. Why? because there is an unlimited amount of combination of numbers.