Re: Replacement of Cardinality

Liste des GroupesRevenir à s math 
Sujet : Re: Replacement of Cardinality
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 17. Aug 2024, 14:30:05
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Organisation : Nemoweb
Message-ID : <TRnpolbxvBo6oSSQfG6rUxEqa4o@jntp>
References : 1 2 3 4 5 6 7 8 9 10
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Le 16/08/2024 à 19:54, Jim Burns a écrit :
On 8/16/2024 1:00 PM, WM wrote:

Start from x = 0.
The increase cannot be more than 1.
∀n ∈ ℕ: 1/n - 1/(n+1) > 0
 Start from x = 0
The increase cannot be less than 2
That violates ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 .

∀ᴿx > 0:  x  >  ⅟nₓ  >  ⅟(nₓ+1)
nₓ = ⌊1+⅟x⌋
That holds only for definable numbers.
Regards, WM

Date Sujet#  Auteur
15 Aug 24 * Re: Replacement of Cardinality371WM
15 Aug 24 `* Re: Replacement of Cardinality370Jim Burns
16 Aug 24  `* Re: Replacement of Cardinality369WM
16 Aug 24   +* Re: Replacement of Cardinality26joes
16 Aug 24   i`* Re: Replacement of Cardinality25WM
16 Aug 24   i +* Re: Replacement of Cardinality7Jim Burns
17 Aug 24   i i`* Re: Replacement of Cardinality6WM
17 Aug 24   i i `* Re: Replacement of Cardinality5Richard Damon
17 Aug 24   i i  +* Re: Replacement of Cardinality3FromTheRafters
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17 Aug 24   i i  i`- Re: Replacement of Cardinality1Chris M. Thomasson
17 Aug 24   i i  `- Re: Replacement of Cardinality1Chris M. Thomasson
16 Aug 24   i +* Re: Replacement of Cardinality16joes
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18 Aug 24   i i  i`* Re: Replacement of Cardinality11Ross Finlayson
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16 Aug 24   `* Re: Replacement of Cardinality342Jim Burns
17 Aug 24    `* Re: Replacement of Cardinality341WM
17 Aug 24     +* Re: Replacement of Cardinality312Richard Damon
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19 Aug 24     i`* Re: Replacement of Cardinality310WM
20 Aug 24     i +* Re: Replacement of Cardinality307Richard Damon
20 Aug 24     i i+* Re: Replacement of Cardinality295FromTheRafters
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21 Aug 24     i ii  `* Re: Replacement of Cardinality291WM
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21 Aug 24     i ii   i ii+* Re: Replacement of Cardinality82WM
21 Aug 24     i ii   i iii+* Re: Replacement of Cardinality4FromTheRafters
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21 Aug 24     i ii   i iii`* Re: Replacement of Cardinality77joes
21 Aug 24     i ii   i iii +* Re: Replacement of Cardinality58Moebius
22 Aug 24     i ii   i iii i`* Re: Replacement of Cardinality57WM
22 Aug 24     i ii   i iii i +- Re: Replacement of Cardinality1joes
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24 Aug 24     i ii   i iii i  +* Re: Replacement of Cardinality7Moebius
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26 Aug 24     i ii   i iii i  i  `* Re: Replacement of Cardinality2Moebius
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24 Aug 24     i ii   i iii i  +* Re: Replacement of Cardinality42WM
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