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Topic: Nathan counts the powerset
Replies: 144   Last Post: Jan 26, 1999 9:26 AM

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Nathaniel Deeth

Posts: 548
Registered: 12/4/04
Re: Nathan counts the powerset
Posted: Dec 25, 1998 12:47 AM
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Virgil Hancher wrote:

> In article <3681B99D.66997C67@ashland.baysat.net>, Mike Deeth
> <mad@ashland.baysat.net> wrote:
>

> > The table below shows a bijection between a Natural number and a Set with the
> > same
> > number of members. None can doubt this bijection continues into the infinite.
> > Lets say that the last row of the table contains the infinite set of all

> natural
>
> You call it a bijection, but there are sets, such as (2,4,6} for which you
> have not provided a natural number.


Wrong! {2,4,6} maps to 101010 (binary) or 12 (decimal). I think you meant the set
of all even numbers {2,4,6,...} which is mapped to the infinite binary string
"...101010".

> It is only an injection, NOT a
> bijection. THere is no such bijection of the integers ONTO the power set
> of the integers. There will always be some sets of integers left out.
>


I disagree. Do you realize that the odd natural numbers can form a bijection with
the complete (odd & even combined) set of the natural numbers? Notice that all the
even numbers are "left out" when the sets are compared non-bijectively. Does this
example clear things up?

>
>
> You also speak of the last row of a list that has no last row.
> If there were a last row, then there would be an integer so big that you
> could not add one to it.


Yes!! My point exactly. This absurdity has its oragins in the "axiom of
infinity".







Date Subject Author
12/20/98
Read Nathan counts the powerset
Nathaniel Deeth
12/20/98
Read Re: Nathan counts the powerset
Ulrich Weigand
12/20/98
Read Re: Nathan counts the powerset
Bob Street
12/20/98
Read Re: Nathan counts the powerset
Ulrich Weigand
12/22/98
Read Re: Nathan counts the powerset
Bob Street
12/22/98
Read Re: Nathan counts the powerset
Ulrich Weigand
12/21/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/21/98
Read Re: Nathan counts the powerset
Ulrich Weigand
12/24/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/24/98
Read Re: Nathan counts the powerset
Dik T. Winter
12/25/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/26/98
Read Re: Nathan counts the powerset
Dik T. Winter
12/27/98
Read Re: Nathan counts the powerset
jsavard@ecn.ab.ca
12/28/98
Read Re: Nathan counts the powerset
Math Icon
12/28/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/25/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/21/98
Read Re: Nathan counts the powerset
graham_fyffe@hotmail.com
12/22/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/24/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/21/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/22/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/22/98
Read Re: Nathan counts the powerset
Bob Street
12/23/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/24/98
Read Re: Nathan counts the powerset
Bob Street
12/25/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/25/98
Read Re: Nathan counts the powerset
Bob Street
12/26/98
Read Re: Nathan counts the powerset
Bob Street
12/24/98
Read Re: Nathan counts the powerset
Bob Street
12/24/98
Read Re: Nathan counts the powerset
Virgil Hancher
12/25/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/27/98
Read Re: Nathan counts the powerset
jsavard@ecn.ab.ca
12/28/98
Read Re: Nathan counts the powerset
Robert Harrison
12/22/98
Read Re: Nathan counts the powerset
Bob Street
12/22/98
Read Re: Nathan counts the powerset
Ulrich Weigand
12/23/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/24/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/24/98
Read Re: Nathan counts the powerset
Bob Street
12/25/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/24/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/24/98
Read Re: Nathan counts the powerset
Bob Street
12/25/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/25/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/25/98
Read Re: Nathan counts the powerset
Bob Street
12/25/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/25/98
Read Re: Nathan counts the powerset
Arturo Magidin
12/26/98
Read Re: Nathan counts the powerset
Bob Street
12/27/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/27/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/28/98
Read Re: Nathan counts the powerset
Arturo Magidin
12/28/98
Read Re: Nathan counts the powerset
Bob Street
12/30/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/30/98
Read Re: Nathan counts the powerset
Bob Street
12/30/98
Read Re: Nathan counts the powerset
Matt Brubeck
12/30/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/30/98
Read Re: Nathan counts the powerset
Bob Street
12/31/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/31/98
Read Re: Nathan counts the powerset
Bob Street
12/31/98
Read Re: Nathan counts the powerset
modern life is rubbish
1/3/99
Read Re: Nathan counts the powerset
Nathaniel Deeth
1/1/99
Read Re: Nathan counts the powerset
standebj@SLU.EDU
1/3/99
Read Re: Nathan counts the powerset
Nathaniel Deeth
1/5/99
Read Re: Nathan counts the powerset
Bob Street
12/26/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/27/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/28/98
Read Re: Nathan counts the powerset
Math Icon
12/28/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/25/98
Read Re: Nathan counts the powerset
Robert Harrison
12/25/98
Read Re: Nathan counts the powerset
Robert Harrison
12/26/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/26/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/26/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/26/98
Read Re: Nathan counts the powerset
Bob Street
12/27/98
Read Re: Nathan counts the powerset
jsavard@ecn.ab.ca
12/28/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/28/98
Read Re: Nathan counts the powerset
Ronald Bruck
12/28/98
Read Re: Nathan counts the powerset
feldmann4350@my-dejanews.com
12/29/98
Read Re: Nathan counts the powerset
John Savard
12/30/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/31/98
Read Re: Nathan counts the powerset
Bob Street
12/31/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/31/98
Read Re: Nathan counts the powerset
John Savard
12/31/98
Read Re: Nathan counts the powerset
Planar
1/2/99
Read Re: Nathan counts the powerset
Bob Street
1/3/99
Read Re: Nathan counts the powerset
Nathaniel Deeth
1/5/99
Read Re: Nathan counts the powerset
Bob Street
1/3/99
Read Re: Nathan counts the powerset
Nathaniel Deeth
1/26/99
Read Re: Nathan counts the powerset
Clothes Rod
12/31/98
Read Re: Nathan counts the powerset
Planar
1/3/99
Read Re: Nathan counts the powerset
Nathaniel Deeth
1/3/99
Read Re: Nathan counts the powerset
David C. Ullrich
1/4/99
Read Re: Nathan counts the powerset
Bob Street
1/4/99
Read Re: Nathan counts the powerset
John Savard
12/31/98
Read Re: Nathan counts the powerset
John Savard
1/3/99
Read Re: Nathan counts the powerset
Nathaniel Deeth
1/3/99
Read Re: Nathan counts the powerset
standebj@SLU.EDU
1/4/99
Read Re: Nathan counts the powerset
John Savard
12/31/98
Read Re: Nathan counts the powerset
Dave Seaman
1/3/99
Read Re: Nathan counts the powerset
Nathaniel Deeth
1/3/99
Read Re: Nathan counts the powerset
Ian Storey
1/4/99
Read Re: Nathan counts the powerset
Dave Seaman
12/31/98
Read Re: Nathan counts the powerset
John Savard
1/3/99
Read Re: Nathan counts the powerset
Nathaniel Deeth
1/4/99
Read Re: Nathan counts the powerset
John Savard
12/28/98
Read Re: Nathan counts the powerset
Bob Street
12/21/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/21/98
Read Re: Nathan counts the powerset
Ulrich Weigand
12/22/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/22/98
Read Re: Nathan counts the powerset
Ulrich Weigand
12/24/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/24/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/28/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/28/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/28/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/30/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/31/98
Read Re: Nathan counts the powerset
David C. Ullrich
1/1/99
Read Re: Nathan counts the powerset
standebj@SLU.EDU
1/3/99
Read Re: Nathan counts the powerset
Nathaniel Deeth
1/3/99
Read Re: Nathan counts the powerset
standebj@SLU.EDU
12/24/98
Read Re: Nathan counts the powerset
Ulrich Weigand
12/28/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/20/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/21/98
Read Re: Nathan counts the powerset
Kirby Cook
12/21/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/21/98
Read Re: Nathan counts the powerset
John Starrett
12/21/98
Read Re: Nathan counts the powerset
Kirby Cook
12/21/98
Read Re: Nathan counts the powerset
John Savard
12/21/98
Read Re: Nathan counts the powerset
Jeremy Boden
12/21/98
Read Re: Nathan counts the powerset
John Savard
12/22/98
Read Re: Nathan counts the powerset
Nathaniel Deeth
12/22/98
Read Re: Nathan counts the powerset
Bob Street
12/22/98
Read Re: Nathan counts the powerset
John Savard
12/21/98
Read Re: Nathan counts the powerset
Barrie Snell
12/22/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/23/98
Read Re: Nathan counts the powerset
Barrie Snell
12/22/98
Read Re: Nathan counts the powerset
Bob Street
12/22/98
Read Re: Nathan counts the powerset
zenevsky@wwa.com
12/23/98
Read Re: Nathan counts the powerset
Bob Street
12/22/98
Read Re: Nathan counts the powerset
John Starrett
12/22/98
Read Re: Nathan counts the powerset
Jeremy Boden
12/22/98
Read Re: Nathan counts the powerset
Jeremy Boden
12/23/98
Read Re: Nathan counts the powerset
Jeremy Boden
12/24/98
Read Re: Nathan counts the powerset
David C. Ullrich
12/24/98
Read Re: Nathan counts the powerset
John Starrett
12/30/98
Read Re: Nathan counts the powerset
Jeremy Boden
12/31/98
Read Re: Nathan counts the powerset
brian tivol

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