Serendip is an independent site partnering with faculty at multiple colleges and universities around the world. Happy exploring!

Reply to comment

Lynn's picture

The Size of Infinity

 I'm confused; that's the short version of this post, I think. In class, we discussed the ways in which we might compare the sizes of different infinities - whether one infinity could contain more than another. When the argument is put forth, I feel that I understand it, yet when I try to explain it to myself, I fall short. The Library of Babel contains infinite possibilities, yet there are an untold number of possibilities even greater still? I almost comprehend this, I think, but not quite... I'm confused. Really confused. If the existing possibilities are never-ending, how then can even more possibilities exist? And why would we care? We're never going to exhaust the contents of the Library of Babel; what does it matter if, theoretically, there are even more possibilities beyond it? I suspect that the metaphor has become muddled in my mind.

Reply

The content of this field is kept private and will not be shown publicly.
To prevent automated spam submissions leave this field empty.
18 + 0 =
Solve this simple math problem and enter the result. E.g. for 1+3, enter 4.