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Topic: Problems with Infinity?
Replies: 72   Last Post: Apr 12, 2013 1:36 PM

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David DeLaney

Posts: 65
Registered: 12/12/04
Re: Problems with Infinity?
Posted: Feb 24, 2013 11:04 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

garabik-news-2005-05@kassiopeia.juls.savba.sk wrote:
>William Elliot <marsh@panix.com> wrote:
>> Cantor did not deal with geometric infinity.
>> His infinities are the cardinalities of sets.

>
>Or with infinite ordinals, which is not quite the same sort of infinity.
>Are there any (good) SFnal stories concerning cardinal(ities),
>transfinite induction, supertasks, actual infinities and other esoteric
>phenomena?
>
>I am aware of White Light by Rudy Rucker, The Infinite Assassin by Greg
>Egan and Luminous by the same author. However, they barely touch the
>cardinality of c.


There's also the series of Wheelie Willie comix in Rucker's _Infinity and the
Mind_, and infinities make sporadic appearances here and there in his other
works, but White Light is his Infinity Novel, yep.

Taking a quick look at the collection _Mathenauts_, which happens to be within
reach of my left hand without even moving, only Niven's _Convergent Series_
reminds me just from the title that it also deals with the subject. ...
Checking, that's about it from there.

>As Kronecker put it, "God made natural numbers; all else is the work of
>man", therefore denying the existence of higher cardinals (or even
>finitism) is a valid philosophical approach - after all, you can get
>many interesting results by negating the axiom of infinity...


Oh yes. "Only finite numbers and fractions exist" is consistent. But it gets
into conflicts with, like, 2D geometry, because there's no pi, and no square
root of 2...

Dave
--
\/David DeLaney posting from dbd@vic.com "It's not the pot that grows the flower
It's not the clock that slows the hour The definition's plain for anyone to see
Love is all it takes to make a family" - R&P. VISUALIZE HAPPYNET VRbeable<BLINK>
http://www.vic.com/~dbd/ - net.legends FAQ & Magic / I WUV you in all CAPS! --K.


Date Subject Author
2/24/13
Read Problems with Infinity?
William Elliot
2/24/13
Read Re: Problems with Infinity?
garabik-news-2005-05@kassiopeia.juls.savba.sk
2/24/13
Read Re: Problems with Infinity?
Frederick Williams
2/24/13
Read Re: Problems with Infinity?
David DeLaney
2/25/13
Read Re: Problems with Infinity?
P. Taine
2/26/13
Read Re: Problems with Infinity?
Butch Malahide
2/24/13
Read Re: Problems with Infinity?
jsavard@ecn.ab.ca
2/25/13
Read Re: Problems with Infinity?
ross.finlayson@gmail.com
2/25/13
Read Re: Problems with Infinity?
Brian M. Scott
2/25/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/25/13
Read Re: Problems with Infinity?
jsavard@ecn.ab.ca
2/25/13
Read Re: Problems with Infinity?
Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
ross.finlayson@gmail.com
2/26/13
Read Re: Problems with Infinity?
Frederick Williams
2/26/13
Read Re: Problems with Infinity?
Wayne Throop
2/26/13
Read Re: Problems with Infinity?
Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
ross.finlayson@gmail.com
2/25/13
Read Re: Problems with Infinity?
Frederick Williams
2/25/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/25/13
Read Re: Problems with Infinity?
Frederick Williams
2/26/13
Read Re: Problems with Infinity?
Wayne Throop
2/26/13
Read Re: Problems with Infinity?
Wayne Throop
2/26/13
Read Re: Problems with Infinity?
Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
Wayne Throop
2/26/13
Read Re: Problems with Infinity?
Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
Wayne Throop
2/27/13
Read Re: Problems with Infinity?
David DeLaney
2/27/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/28/13
Read Re: Problems with Infinity?
David DeLaney
2/28/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/28/13
Read Re: Problems with Infinity?
David DeLaney
3/1/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
3/1/13
Read Re: Problems with Infinity?
David DeLaney
3/2/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/28/13
Read Re: Problems with Infinity?
jsavard@ecn.ab.ca
2/28/13
Read Re: Problems with Infinity?
David Johnston
2/27/13
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Shmuel (Seymour J.) Metz
2/26/13
Read Re: Problems with Infinity?
Frederick Williams
2/26/13
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David DeLaney
4/11/13
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Walter Bushell
4/11/13
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Brian M. Scott
4/11/13
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Butch Malahide
4/12/13
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fom
4/12/13
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Wayne Throop
4/12/13
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fom
4/12/13
Read Re: Problems with Infinity?
Wayne Throop
4/12/13
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fom
4/11/13
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jsavard@ecn.ab.ca
4/11/13
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Butch Malahide
4/12/13
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Virgil
4/12/13
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Brian M. Scott
4/12/13
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jsavard@ecn.ab.ca
4/11/13
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fom
4/11/13
Read Re: Problems with Infinity?
Butch Malahide
4/11/13
Read Re: Problems with Infinity?
Butch Malahide
4/12/13
Read Re: Problems with Infinity?
Brian M. Scott
4/12/13
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Butch Malahide
2/26/13
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Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/26/13
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Brian M. Scott
2/26/13
Read Re: Problems with Infinity?
David Bernier
2/26/13
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Shmuel (Seymour J.) Metz
2/28/13
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Shmuel (Seymour J.) Metz
4/11/13
Read Re: Problems with Infinity?
Walter Bushell
4/11/13
Read Re: Problems with Infinity?
Shmuel (Seymour J.) Metz
2/26/13
Read Re: Problems with Infinity?
Frederick Williams
2/27/13
Read Re: Problems with Infinity?
Scott Fluhrer

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