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

From: MoeBlee <jazzmobe@xxxxxxxxxxx>
Date: Wed, 30 Jan 2008 10:05:07 -0800 (PST)

On Jan 30, 12:39 am, Han de Bruijn <Han.deBru...@xxxxxxxxxxxxxx>
wrote:

Aatu Koskensilta wrote:

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

Typical .. I'd rather say that they're exactly the same.

How are they the same? That a set A is closed under the successor
function means that if n is in A, n+1 is in A. What would "applying
the successor function an infinite number of times" mean?

Sure. And all smartass engineers in the world cannot succeed in building
a machine A where if n is in A, n+1 is in A. Don't you agree that such a
design requirement _implies_ infinity? And that indeed, it means exactly
the same as applying the successor function an infinite number of times?
What makes the first design requirement more amenable than the second? I
would rather say that _both_ are impossible. But IF you accept the first
THEN intellectual honesty should force you to accept the second as well.

You seem to confuse 'intellectual honesty' with 'embrace bizarre
mentation'.

MoeBlee

.

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: 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: Aatu Koskensilta
- Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
  - From: Han de Bruijn

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