In article <NvudnSgQHKv-VyrZnZ2dnUVZ_tSdnZ2d@speakeasy.net>, Hatto von Aquitanien <abbot@AugiaDives.hre> wrote:
> I believe worrying about the existence of any given element of the set of > all natural numbers is missing the point. The difference I perceive > between infinite sets and finite sets is structural. Even if we to admit > the concept of infinite sets into our weltanschauung, we should understand > that they are structurally different from finite sets. With a well ordered > finite set, we can count from either end. Reversing the order makes sense, > etc. We can't do that with infinite sets.
Not so; it can easily be done for SOME infinite sets. For example, the set of integers (positive and negative):