On Sat, May 28, 2011 at 2:10 AM, Levi Pearson <levipear...@gmail.com> wrote: > Anyway, after a bit more research, I found that you can use the arctan > and tan functions to map between R and any open interval within R, > which does prove that Daniel was wrong and the two sets he mentioned > were in fact the same size. In fact, since 0..1 is a subset of 0..2, > the elements map with the identify function, and you can map 0..2 back > into 0..1 by dividing each element in the set by 2. Easy! > > Now, if you want to know a set with a higher cardinality than R, I > can't help you there.
Bad example aside, am I correct in thinking that there are different infinities, some of which "have more things in them" (a higher cardinality) than others? /* PLUG: http://plug.org, #utah on irc.freenode.net Unsubscribe: http://plug.org/mailman/options/plug Don't fear the penguin. */
