Brainlet question:
Can an infinitesimal contain an infinity?
We all know that the distance 0-1 on the number line contains an infinite number of values (e.g., 1/2, 1/3, 1/4... all fall into the region from 0 to 1). What if we cut this region in half? 0 to 1/2 contains an infinite number of real values too. So we keep repeating this process, 0 to 1/3. 0 to 1/4. Does the interval from 0 to 1/n contain an infinite number of real values, if we let n->infinity?
Can an infinitesimal contain an infinity?
We all know that the distance 0-1 on the number line contains an infinite number of values (e.g., 1/2, 1/3, 1/4... all fall into the region from 0 to 1). What if we cut this region in half? 0 to 1/2 contains an infinite number of real values too. So we keep repeating this process, 0 to 1/3. 0 to 1/4. Does the interval from 0 to 1/n contain an infinite number of real values, if we let n->infinity?
