Re: Well Ordering the Reals



Tony Orlow wrote:
Ack! If you start with 0, then the number of elements in the set is always GREATER than the largest value, as you add successors. If you start with 1 as your first natural, the number of elements is always EQUAL to the largest element, and therefore never becomes infinite as long as the elements themselves are finite.

So you're saying that the set {0,1,2,...} is infinite, but the set {1,2,3,...} isn't. Doesn't this strike you as a little odd? .



Relevant Pages

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