Sujet : Re: Replacement of Cardinality
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.logic sci.mathDate : 19. Aug 2024, 21:22:21
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <va09hs$30hb2$2@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14
User-Agent : Mozilla Thunderbird
On 8/19/2024 1:20 PM, Chris M. Thomasson wrote:
On 8/19/2024 10:17 AM, Moebius wrote:
Am 19.08.2024 um 18:58 schrieb Jim Burns:
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You got it totally wrong!
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The dark unit fractions are smaller than the (all) visible ones.
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Now: The visible unit fraction don't have a smallest one (of course), but the dark unit fraction do (at least in mückenmath)!
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WM: "Dark unit fractions have a smallest element."
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See?!
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WM: "Visible unit fractions have the [or rather *a*] lower bound 0."
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Right, but the dark unit fractions ARE BETWEEN 0 and all the visible unit fractions.
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See: https://en.wikipedia.org/wiki/Infinitesimal
and: https://en.wikipedia.org/wiki/Hyperreal_number
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WM: "No smaller [dark] unit fractions [than the smallest one] is existing, because no larger [dark] natnumber {than the largest one] is existing."
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Right!
Is this one of WM's dark unit fractions:
1 / (hyper_really_really_tiny_small)
The funny part is that hyper_really_really_tiny_small should really be:
hyper_really_really_large
lol. What a joke.
In this sense... Forget about unit fractions, WM thinks that there is a largest natural number. This right there is radically ridiculous to me. Unit fractions aside for a moment...
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