Re: How many different unit fractions are lessorequal than all unit fractions?

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Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 04. Sep 2024, 20:10:46
Autres entêtes
Message-ID : <vbabbm$24a94$1@solani.org>
References : 1 2 3 4 5 6
User-Agent : Mozilla Thunderbird
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

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