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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Wed, 4 Sep 2024 21:10:46 +0200
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On 03.09.2024 19:50, Jim Burns wrote:
 > On 9/3/2024 6:22 AM, WM wrote:

 > If the smallest unit.fraction existed,
 > you could see it
No, that is impossible by your argument:

 > positive and undercut by
 > a visibleᵂᴹ smaller.than.smallest unit.fraction.
 >
 > But you can't see that.
 > The smallest unit fraction doesn't exist.
Either ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 is wrong or Peano is wrong.
Peano has been generalized from the small natural numbers.
"All different unit fractions are different" however is a basic truth. 
Therefore I accept the latter.

Regards, WM