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Topic: cardinality of the power set of the integers
Replies: 268   Last Post: Aug 16, 2000 3:17 AM

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Chuck Cadman

Posts: 16
Registered: 12/12/04
Re: cardinality of the power set of the integers
Posted: Jun 19, 2000 1:38 AM
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This is related to an interesting problem. Find a bijection between the
naturals and the rationals. We know they are bijective because there are
injections in both directions, but has anyone ever found an explicit
bijection?







Date Subject Author
6/18/00
Read cardinality of the power set of the integers
Russell Easterly
6/18/00
Read Re: cardinality of the power set of the integers
Virgil Hancher
6/21/00
Read Re: cardinality of the power set of the integers
Pam Taylor
6/21/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/21/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
6/23/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/23/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
6/23/00
Read Re: cardinality of the power set of the integers
Lee Rudolph
6/23/00
Read Re: cardinality of the power set of the integers
Dik T. Winter
6/26/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/26/00
Read Re: cardinality of the power set of the integers
Dik T. Winter
6/27/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/27/00
Read Re: cardinality of the power set of the integers
Jim Heckman
6/27/00
Read Re: cardinality of the power set of the integers
Robert J. Kolker
6/27/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
6/27/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
6/30/00
Read Re: cardinality of the power set of the integers
George Greene
6/30/00
Read Re: cardinality of the power set of the integers
Mike Mccarty Sr
7/2/00
Read Re: cardinality of the power set of the integers
George Greene
7/2/00
Read Re: cardinality of the power set of the integers
Richard Carr
7/3/00
Read Re: cardinality of the power set of the integers
David C. Ullrich
7/3/00
Read Re: cardinality of the power set of the integers
David Petry
7/3/00
Read Re: cardinality of the power set of the integers
Kent
7/4/00
Read Re: cardinality of the power set of the integers
David Petry
7/4/00
Read Re: cardinality of the power set of the integers
Jeffrey Shallit
7/5/00
Read Bijection between rationals and integers
David Petry
7/6/00
Read *WHY* I was confused
George Greene
7/6/00
Read Re: *WHY* I was confused
Richard Carr
7/3/00
Read Re: cardinality of the power set of the integers
H. Enderton
7/3/00
Read Re: cardinality of the power set of the integers
George Greene
7/5/00
Read Re: cardinality of the power set of the integers
Mike Mccarty Sr
6/30/00
Read Re: cardinality of the power set of the integers
Zdislav V. Kovarik
7/2/00
Read Re: cardinality of the power set of the integers
George Greene
6/30/00
Read Re: cardinality of the power set of the integers
Richard Carr
7/2/00
Read Re: cardinality of the power set of the integers
George Greene
7/2/00
Read Re: cardinality of the power set of the integers
Richard Carr
6/27/00
Read Re: cardinality of the power set of the integers
Flavio Borges Botelho
6/28/00
Read Re: cardinality of the power set of the integers
Virgil Hancher
6/28/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
6/28/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
7/3/00
Read Re: cardinality of the power set of the integers
Anonymous
7/10/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
7/5/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
7/3/00
Read Re: cardinality of the power set of the integers
Anonymous
6/28/00
Read Re: cardinality of the power set of the integers
James Hunter
7/5/00
Read Re: cardinality of the power set of the integers
Jeremy Boden
7/6/00
Read Re: cardinality of the power set of the integers
Anonymous
7/6/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
7/6/00
Read Re: cardinality of the power set of the integers
david_ullrich@my-deja.com
7/6/00
Read Re: cardinality of the power set of the integers
Andrew Boucher
7/7/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
7/9/00
Read Re: cardinality of the power set of the integers
Andrew Boucher
7/10/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
7/11/00
Read Re: cardinality of the power set of the integers
Mike Mccarty Sr
7/15/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
7/9/00
Read Re: cardinality of the power set of the integers
Jeremy Boden
7/10/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
7/10/00
Read Re: cardinality of the power set of the integers
Richard Carr
7/10/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
7/11/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
7/11/00
Read Re: cardinality of the power set of the integers
david_ullrich@my-deja.com
7/11/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
7/11/00
Read Re: cardinality of the power set of the integers
david_ullrich@my-deja.com
7/11/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
7/11/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
7/11/00
Read Re: cardinality of the power set of the integers
David C. Ullrich
7/11/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
7/12/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
7/10/00
Read Re: cardinality of the power set of the integers
Andrew Boucher
7/10/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
7/11/00
Read Re: cardinality of the power set of the integers
Andrew Boucher
7/11/00
Read Re: cardinality of the power set of the integers
Mike Mccarty Sr
7/12/00
Read Re: cardinality of the power set of the integers
mareg@mimosa.csv.warwick.ac.uk
7/12/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
7/12/00
Read Re: cardinality of the power set of the integers
Andrew Boucher
7/15/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
7/15/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
7/20/00
Read Re: cardinality of the power set of the integers
Bill Taylor
7/20/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/21/00
Read Re: cardinality of the power set of the integers
Bill Taylor
7/21/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/25/00
Read Re: cardinality of the power set of the integers
Bill Taylor
7/25/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/26/00
Read Re: cardinality of the power set of the integers
Bill Taylor
7/26/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/26/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/15/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
7/16/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
7/16/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
7/16/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
7/16/00
Read Re: cardinality of the power set of the integers
David C. Ullrich
7/16/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
7/17/00
Read Re: cardinality of the power set of the integers
David C. Ullrich
7/16/00
Read Re: cardinality of the power set of the integers
Rainer Rosenthal
7/20/00
Read Re: cardinality of the power set of the integers
Bill Taylor
7/22/00
Read Re: cardinality of the power set of the integers
David Libert
7/26/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
7/27/00
Read Re: cardinality of the power set of the integers
Bill Taylor
7/29/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
8/3/00
Read Re: cardinality of the power set of the integers
Bill Taylor
8/4/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
8/7/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
7/29/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
8/3/00
Read Re: cardinality of the power set of the integers
Bill Taylor
8/7/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
8/7/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
8/7/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
8/7/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
8/8/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
8/8/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
8/9/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
8/9/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
8/9/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
8/10/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
8/10/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
8/10/00
Read Re: cardinality of the power set of the integers
Mike Mccarty Sr
8/10/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
8/10/00
Read Re: cardinality of the power set of the integers
Mike Mccarty Sr
8/13/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
8/10/00
Read Re: cardinality of the power set of the integers
Mike Oliver
8/10/00
Read Re: cardinality of the power set of the integers
Mike Mccarty Sr
8/10/00
Read Re: cardinality of the power set of the integers
Mike Oliver
8/10/00
Read Re: cardinality of the power set of the integers
Mike Oliver
8/15/00
Read Re: cardinality of the power set of the integers
Bill Taylor
8/15/00
Read Re: cardinality of the power set of the integers
Mike Oliver
8/15/00
Read Re: cardinality of the power set of the integers
Mike Oliver
8/15/00
Read Re: cardinality of the power set of the integers
Nathaniel Deeth
8/12/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
7/20/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
7/20/00
Read Re: cardinality of the power set of the integers
Daryl McCullough
7/20/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/21/00
Read Re: cardinality of the power set of the integers
Daryl McCullough
7/21/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/21/00
Read Re: cardinality of the power set of the integers
George Greene
7/21/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/22/00
Read Re: cardinality of the power set of the integers
Daryl McCullough
7/22/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/21/00
Read Re: cardinality of the power set of the integers
Mike Mccarty Sr
7/21/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/21/00
Read Re: cardinality of the power set of the integers
Mike Mccarty Sr
7/21/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/24/00
Read Re: cardinality of the power set of the integers
Mike Mccarty Sr
7/25/00
Read Re: cardinality of the power set of the integers
George Greene
7/25/00
Read Re: cardinality of the power set of the integers
Richard Carr
7/25/00
Read Re: cardinality of the power set of the integers
Bennett Standeven
7/25/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/25/00
Read Re: cardinality of the power set of the integers
Pierre Asselin
7/28/00
Read Re: cardinality of the power set of the integers
George Greene
7/29/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
7/21/00
Read Re: cardinality of the power set of the integers
George Greene
7/21/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/21/00
Read How Do We Grasp Mathematics? [Long and Boring] (Was Re: cardinality of the power set of the integers)
Daryl McCullough
8/7/00
Read Re: cardinality of the power set of the integers
anonymous
8/8/00
Read Re: cardinality of the power set of the integers
George Greene
7/24/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
7/15/00
Read Re: cardinality of the power set of the integers
Keith Ramsay
7/15/00
Read Platonism Was: Re: cardinality of the power set of the integers
Herman Rubin
7/16/00
Read Re: Platonism Was: Re: cardinality of the power set of the integers
Mikal 606
7/16/00
Read Re: Platonism Was: Re: cardinality of the power set of the integers
Miguel A. Lerma
7/16/00
Read Re: Platonism Was: Re: cardinality of the power set of the integers
Lee Rudolph
7/16/00
Read Re: Platonism Was: Re: cardinality of the power set of the integers
Miguel A. Lerma
7/16/00
Read Re: Platonism Was: Re: cardinality of the power set of the integers
Herman Rubin
7/16/00
Read Re: Platonism Was: Re: cardinality of the power set of the integers
Miguel A. Lerma
7/18/00
Read Re: Platonism Was: Re: cardinality of the power set of the integers
Herman Rubin
7/16/00
Read Re: Platonism Was: Re: cardinality of the power set of the integers
Keith Ramsay
7/16/00
Read Re: Platonism Was: Re: cardinality of the power set of the integers
Herman Rubin
6/23/00
Read Re: cardinality of the power set of the integers
david_ullrich@my-deja.com
6/26/00
Read Re: cardinality of the power set of the integers
Anonymous
6/26/00
Read Re: cardinality of the power set of the integers
Dave Seaman
6/26/00
Read Re: cardinality of the power set of the integers
david_ullrich@my-deja.com
6/21/00
Read Re: cardinality of the power set of the integers
Dave Seaman
6/22/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/22/00
Read Re: cardinality of the power set of the integers
Dave Seaman
6/23/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/23/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
6/23/00
Read Re: cardinality of the power set of the integers
Dik T. Winter
6/23/00
Read Re: cardinality of the power set of the integers
Dave Seaman
6/28/00
Read Re: cardinality of the power set of the integers
Dave Seaman
7/3/00
Read Re: cardinality of the power set of the integers
Anonymous
7/3/00
Read Re: cardinality of the power set of the integers
Dave Seaman
7/3/00
Read Re: cardinality of the power set of the integers
David C. Ullrich
6/22/00
Read Re: cardinality of the power set of the integers
James Hunter
6/25/00
Read Re: cardinality of the power set of the integers
Robert J. Kolker
6/18/00
Read Re: cardinality of the power set of the integers
Clive Tooth
6/18/00
Read Re: cardinality of the power set of the integers
Dave Seaman
6/18/00
Read Re: cardinality of the power set of the integers
Virgil Hancher
6/18/00
Read Re: cardinality of the power set of the integers
Russell Easterly
6/19/00
Read Re: cardinality of the power set of the integers
Dave Seaman
6/18/00
Read Re: cardinality of the power set of the integers
Sandy Hodges
6/18/00
Read Re: cardinality of the power set of the integers
Dennis Paul Himes
6/19/00
Read Re: cardinality of the power set of the integers
Chuck Cadman
6/19/00
Read Re: cardinality of the power set of the integers
Dafydd y garreg wen
6/19/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
6/19/00
Read Re: cardinality of the power set of the integers
Virgil Hancher
6/19/00
Read Re: cardinality of the power set of the integers
Dave Seaman
6/19/00
Read Re: cardinality of the power set of the integers
Dik T. Winter
6/20/00
Read Re: cardinality of the power set of the integers
Taneli Huuskonen
6/21/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/21/00
Read Re: cardinality of the power set of the integers
Dave Seaman
6/21/00
Read Re: cardinality of the power set of the integers
Dennis Paul Himes
6/22/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/22/00
Read Re: cardinality of the power set of the integers
Dave Seaman
6/24/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/24/00
Read Re: cardinality of the power set of the integers
Pertti Lounesto
6/24/00
Read Re: cardinality of the power set of the integers
James Hunter
6/24/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/24/00
Read Re: cardinality of the power set of the integers
Erik Max Francis
6/27/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
6/27/00
Read Re: cardinality of the power set of the integers
Robert J. Kolker
7/3/00
Read Re: cardinality of the power set of the integers
Anonymous
7/7/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
7/8/00
Read Re: cardinality of the power set of the integers
Doug Norris
6/24/00
Read Re: cardinality of the power set of the integers
Ross A. Finlayson
6/24/00
Read Re: cardinality of the power set of the integers
Dennis Paul Himes
6/24/00
Read Re: cardinality of the power set of the integers
Richard Carr
6/24/00
Read Re: cardinality of the power set of the integers
Mike Oliver
6/24/00
Read Re: cardinality of the power set of the integers
Apollo Hogan
6/24/00
Read Re: cardinality of the power set of the integers
Richard Carr
6/25/00
Read Re: cardinality of the power set of the integers
Mike Oliver
6/25/00
Read Re: cardinality of the power set of the integers
Richard Carr
6/25/00
Read Re: cardinality of the power set of the integers
Mike Oliver
6/25/00
Read big quotients (was, Re: cardinality of the power set of the integers)
Lee Rudolph
6/25/00
Read Re: big quotients (was, Re: cardinality of the power set of the
Mike Oliver
6/26/00
Read Re: cardinality of the power set of the integers
Daryl McCullough
6/25/00
Read Re: cardinality of the power set of the integers
Richard Carr
6/25/00
Read Re: cardinality of the power set of the integers
Ross A. Finlayson
6/24/00
Read Re: cardinality of the power set of the integers
Virgil Hancher
6/24/00
Read Re: cardinality of the power set of the integers
Dave Seaman
6/30/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/30/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/30/00
Read Re: cardinality of the power set of the integers
Dave Seaman
7/3/00
Read Re: cardinality of the power set of the integers
Anonymous
7/3/00
Read Re: cardinality of the power set of the integers
Dave Seaman
7/3/00
Read Re: cardinality of the power set of the integers
Bennett Standeven
7/7/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
7/7/00
Read Re: cardinality of the power set of the integers
Dave Seaman
6/30/00
Read Re: cardinality of the power set of the integers
Virgil Hancher
6/30/00
Read Re: cardinality of the power set of the integers
Mike Oliver
7/1/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
7/1/00
Read Re: cardinality of the power set of the integers
Lee Rudolph
7/2/00
Read Re: cardinality of the power set of the integers
TC
7/1/00
Read Re: cardinality of the power set of the integers
Daryl McCullough
7/3/00
Read Re: cardinality of the power set of the integers
Anonymous
7/2/00
Read Re: cardinality of the power set of the integers
George Greene
6/22/00
Read Re: cardinality of the power set of the integers
Lars Henrik Mathiesen
6/24/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/24/00
Read Re: cardinality of the power set of the integers
Lars Henrik Mathiesen
6/22/00
Read Re: cardinality of the power set of the integers
Daryl McCullough
6/24/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
6/24/00
Read Re: cardinality of the power set of the integers
Daryl McCullough
6/20/00
Read Re: cardinality of the power set of the integers
Lars Henrik Mathiesen
7/16/00
Read Re: cardinality of the power set of the integers
EL
6/19/00
Read Re: cardinality of the power set of the integers
Russell Easterly
6/19/00
Read Re: cardinality of the power set of the integers
Tony Thomas
6/19/00
Read Re: cardinality of the power set of the integers
Severian
6/20/00
Read Re: cardinality of the power set of the integers
John Savard
6/21/00
Read Re: cardinality of the power set of the integers
Herman Rubin
6/23/00
Read Re: cardinality of the power set of the integers
Oscar Lanzi III
6/28/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
8/1/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
8/1/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
8/1/00
Read Re: cardinality of the power set of the integers
Torkel Franzen
8/1/00
Read Re: cardinality of the power set of the integers
Jonathan Hoyle
8/14/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
8/14/00
Read Re: cardinality of the power set of the integers
Dave Seaman
8/16/00
Read Re: cardinality of the power set of the integers
Nathaniel Deeth
8/2/00
Read Re: cardinality of the power set of the integers
Mike Mccarty Sr
8/11/00
Read Re: cardinality of the power set of the integers
the_great_nathan@my-deja.com
8/11/00
Read Re: cardinality of the power set of the integers
Virgil Hancher

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