Re: Well Ordering the Reals
- From: Robert Low <mtx014@xxxxxxxxxxxxxx>
- Date: Mon, 21 Nov 2005 14:53:42 +0000
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? .
- Follow-Ups:
- Re: Well Ordering the Reals
- From: Tony Orlow
- Re: Well Ordering the Reals
- References:
- Re: Well Ordering the Reals
- From: Randy Poe
- Re: Well Ordering the Reals
- From: Tony Orlow
- Re: Well Ordering the Reals
- From: Tony Orlow
- Re: Well Ordering the Reals
- From: Tony Orlow
- Re: Well Ordering the Reals
- From: Daryl McCullough
- Re: Well Ordering the Reals
- From: Tony Orlow
- Re: Well Ordering the Reals
- From: MoeBlee
- Re: Well Ordering the Reals
- From: Robert Low
- Re: Well Ordering the Reals
- From: Tony Orlow
- Re: Well Ordering the Reals
- From: Robert Low
- Re: Well Ordering the Reals
- From: Tony Orlow
- Re: Well Ordering the Reals
- Prev by Date: Re: Well Ordering the Reals
- Next by Date: Re: Birthday problem for such non-uniform birthday probabilities
- Previous by thread: Re: Well Ordering the Reals
- Next by thread: Re: Well Ordering the Reals
- Index(es):
Relevant Pages
|
Loading