Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : FTR (at) *nospam* nomail.afraid.org (FromTheRafters)
Groupes : sci.mathDate : 02. Oct 2024, 12:30:42
Autres entêtes
Organisation : Peripheral Visions
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WM pretended :
On 01.10.2024 22:05, Jim Burns wrote:
On 10/1/2024 1:29 PM, WM wrote:
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What is incorrect?
This is incorrect:
?⎛ ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 shows that
?⎜ at no point x
?⎝ NUF can increase by more than one step 1.
∀n ∈ ℕ: 1/n - 1/(n+1) > 0 doesn't show that.
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You believe that more than one unit fractions can occupy one and the same point nevertheless? That would make the distance 0, but it is > 0. Therefore you are wrong.
∀n ∈ ℕ: 1/n - 1/(n+1) > 0 shows
∀n ∈ ℕ: 1/n > 1/(n+1) > 0
which shows
each unit fraction 1/n is not first.
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No. ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 does not prove that n+1 is a natural number. Note the infinite sequence
1, 2, 3, ..., ω-2, ω-1, ω.
Omega minus one or two is undefined and n plus one closure is axiomatic.
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