Re: 1-1/2+1/3-1/4+1/5-1/6+1/7

From: Han de Bruijn <Han.deBruijn@xxxxxxxxxxxxxx>
Date: Wed, 30 Jan 2008 10:05:35 +0100

Virgil wrote:

In article <76e9b$479f4631$82a1e228$13175@xxxxxxxxxxxxxxxx>,
Han de Bruijn <Han.deBruijn@xxxxxxxxxxxxxx> wrote:

Aatu Koskensilta wrote:

On 2008-01-29, in sci.math, Han de Bruijn wrote:

Whew! Now, _that_'s an explanation! What's the *!#!@$ difference !?

The locution "set closed under the successor function" has a perfectly
clear meaning while "applying the successor function an infinite
number of times" is meaningless.

Typical .. I'd rather say that they're exactly the same. Meaning: if you
accept the first then I see no reason why not accept the second. Talking
about "clear" ..

The set {0,1} is closed under f(x) = 1-x and also under g(x) = x^2.
Neither of these closures requires infinite numbers of compositions.

Those are _finite_ sets. I have _no_ trouble with that. But the naturals
are an essentially different matter. Therefore this comment is deemed as
being Off Topic.

Han de Bruijn

.

Follow-Ups:
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Virgil
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: hagman

References:
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: lwalke3
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Han de Bruijn
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: David C . Ullrich
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Han de Bruijn
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Han de Bruijn
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Jesse F. Hughes
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: lwalke3
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: David C . Ullrich
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Han de Bruijn
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: David C . Ullrich
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Aatu Koskensilta
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Aatu Koskensilta
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Aatu Koskensilta
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Han de Bruijn
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Virgil

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