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Topic: Infinity can not exist
Replies: 115   Last Post: Apr 9, 2010 12:08 AM

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David d'Apollonia

Posts: 27
Registered: 12/13/04
Re: Infinity can not exist
Posted: Jul 9, 2004 10:23 PM
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"Ross A. Finlayson" <raf@tiki-lounge.com> wrote:.

> What's the idea of mathematics anyways?

<Dedekind cut>

> I was reading Rudy Rucker's "Infinity and the Mind",
> it's pretty good reading, 70's state-of-the-art. He
> mentions for example that the Dedekind construction
> of the real number is the post-Aristotlean (actual infinities allowed)
> Eudoxus construction. Infinity or its specter was apparent
> to the early theoreticians, it is still today, and then and now
> is by definition an unbounded playground of the imagination.


>Regards,

>Ross F.

You'll probably find this paper pretty much explains the issues in question
quite imaginatively! g!

Dedekind's Proof
by Andrew Boucher
http://www.andrewboucher.com/papers/dedekind.htm

"In "The Nature and Meaning of Numbers," Dedekind produces an original,
quite remarkable proof for the holy grail in the foundations of elementary
arithmetic, that there are an infinite number of things. It goes like this.
[p, 64 in the Dover edition.] Consider the set S of things which can be
objects of my thought. Define the function phi(s), which maps an element s
of S to the thought that s can be an object of my thought. Then phi is
evidently one-to-one, and the image of phi is contained in S. Indeed, it is
properly contained in S, because I myself can be an object of my thoughts
and so belong to S, but I myself am not a mere thought. Thus S is infinite."

...

peace is of the pi,
d8>D
At what point on the circle,
does a regular, infinity-gon,
inscribed inside the circle,
have its inside angles
equal to 179.999... degrees?



Date Subject Author
7/2/04
Read Infinity can not exist
Japcuh
7/2/04
Read Re: Infinity can not exist
Dave Seaman
7/3/04
Read Re: Infinity can not exist
Ross A. Finlayson
7/6/04
Read Re: Infinity can not exist
Eray Ozkural exa
7/6/04
Read Re: Infinity can not exist
Dave Seaman
7/6/04
Read Re: Infinity can not exist
Bart Goddard
7/7/04
Read Re: Infinity can not exist
Tracy Yucikas
7/6/04
Read Re: Infinity can not exist
Eray Ozkural exa
7/2/04
Read Re: Infinity can not exist
Bart Goddard
7/2/04
Read Re: Infinity can not exist
Japcuh
7/2/04
Read Re: Infinity can not exist
Bobby D. Bryant
7/2/04
Read Re: Infinity can not exist
Ioannis
7/2/04
Read Re: Infinity can not exist
Bobby D. Bryant
7/3/04
Read Re: Infinity can not exist
Rob Duncan
7/3/04
Read Re: Infinity can not exist
William Elliot
7/3/04
Read Re: Infinity can not exist
Michael Varney
7/3/04
Read Re: Infinity can not exist
Rob Duncan
7/4/04
Read Re: Infinity can not exist
Michael Varney
7/4/04
Read Re: Infinity can not exist
Rob Duncan
7/4/04
Read Re: Infinity can not exist
Michael Varney
7/4/04
Read Re: Infinity can not exist
Rob Duncan
7/5/04
Read Re: Infinity can not exist
Michael Varney
7/2/04
Read Re: Infinity can not exist
David C. Ullrich
7/2/04
Read Re: Infinity can not exist
Fletch F. Fletch
7/3/04
Read Re: Infinity can not exist
Richard Henry
7/3/04
Read Re: Infinity can not exist
bd4u
7/3/04
Read Re: Infinity can not exist
Dave Seaman
7/3/04
Read Re: Infinity can not exist
William Elliot
7/3/04
Read Re: Infinity can not exist
Richard Carr
7/3/04
Read Re: Infinity can not exist
William Elliot
7/3/04
Read Re: Infinity can not exist
Richard Carr
7/3/04
Read Re: Infinity can not exist
Tracy Yucikas
7/3/04
Read Re: Infinity can not exist
Dave Seaman
7/3/04
Read Re: Infinity can not exist
Tracy Yucikas
7/3/04
Read Re: Infinity can not exist
Dave Seaman
7/4/04
Read Re: Infinity can not exist
Tracy Yucikas
7/4/04
Read Re: Infinity can not exist
Dave Seaman
7/4/04
Read Re: Infinity can not exist
Tracy Yucikas
7/4/04
Read Re: Infinity can not exist
Dave Seaman
7/4/04
Read Re: Infinity can not exist
Tracy Yucikas
7/4/04
Read Re: Infinity can not exist
Dave Seaman
7/4/04
Read Re: Infinity can not exist
Tracy Yucikas
7/4/04
Read Re: Infinity can not exist
Dave Seaman
7/5/04
Read Re: Infinity can not exist
Tracy Yucikas
7/5/04
Read Re: Infinity can not exist
Peter Webb
7/5/04
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Tracy Yucikas
7/3/04
Read Re: Infinity can not exist
W. Dale Hall
7/2/04
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David d'Apollonia
7/2/04
Read Re: Infinity can not exist
ZZBunker
7/3/04
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Japcuh
7/2/04
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Acid Pooh
7/2/04
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Michael II
7/3/04
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William Elliot
7/3/04
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David P. Ferguson
7/2/04
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Kent Paul Dolan
7/3/04
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David d'Apollonia
7/3/04
Read Re: Infinity can not exist
Japcuh
7/6/04
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Kent Paul Dolan
7/3/04
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Charlie-Boo
7/3/04
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William Elliot
7/3/04
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ikhin
7/3/04
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Doug Goncz
7/3/04
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Japcuh
7/6/04
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George Buyanovsky
7/3/04
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Tim923
7/3/04
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Michael II
7/4/04
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Mitchell
7/4/04
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Sam Wormley
7/5/04
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Mitchell
7/5/04
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Sam Wormley
7/5/04
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Bart Goddard
7/5/04
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Fletch F. Fletch
7/6/04
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Eric Gisse
7/7/04
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Mitchell
7/7/04
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Eric Gisse
7/8/04
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David d'Apollonia
7/13/04
Read Re: Infinity can not exist
Mark William Hopkins
7/8/04
Read Re: Infinity can not exist
Shrikantha S. Shastry
7/5/04
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Hypatia Kosh
7/6/04
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Shrikantha S. Shastry
7/7/04
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Corey Kat
7/7/04
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tracym@askme.net
7/7/04
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Tracy Yucikas
7/7/04
Read Re: Infinity can not exist
Rob Duncan
7/9/04
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Tracy Yucikas
7/15/04
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raydpratt
7/16/04
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Kent Paul Dolan
7/16/04
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Adam
7/7/04
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Chris Parker
7/7/04
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Ann
7/7/04
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Chris Parker
7/8/04
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Ann
7/8/04
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Corey Kat
7/8/04
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Ross Finlayson
7/9/04
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David d'Apollonia
7/9/04
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robert_kolker@hotmail.com
7/10/04
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David d'Apollonia
7/10/04
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Oriel36
7/10/04
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robert_kolker@hotmail.com
7/10/04
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Corey Kat
7/10/04
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Dave Seaman
7/12/04
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Tracy Yucikas
7/12/04
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Ish
7/12/04
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Tracy Yucikas
7/13/04
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Chairman of the Ozzy Osbourne Appreciation Society
7/13/04
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Chairman of the Ozzy Osbourne Appreciation Society
7/15/04
Read Re: Infinity can not exist
Tracy Yucikas
7/15/04
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Tracy Yucikas
7/8/04
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tracym@askme.net
7/7/04
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Rob Duncan
7/12/04
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Anonymous
7/12/04
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Full Name
7/13/04
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Anonymous
7/13/04
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Anonymous
7/20/04
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Alex Hunsley
4/9/10
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chrs henk

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