Sujet : Re: how
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.mathDate : 12. Apr 2024, 17:58:42
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <uvbp82$stb7$2@i2pn2.org>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
On 4/12/24 12:35 PM, WM wrote:
Le 12/04/2024 à 17:47, Richard Damon a écrit :
On 4/12/24 11:22 AM, WM wrote:
Le 12/04/2024 à 16:57, Richard Damon a écrit :
On 4/12/24 10:44 AM, WM wrote:
>
"Distance" between a set and a value is not a defined term.
>
You are wrong. Distance between (0, 10] and 11 is ?
>
Not a defined term for NUMBERS.
It is 1 in geometry, in mathematics, and in set theory: The minimum length to bridge.
Regards, WM
No, "Set Theory" doesn't talk about "differences" based on the values of the elements, because that is outside of the domain of Set Theory.
The "Distance" between two sets would be based on which elements of the set differ and which are the same.
Mathematics talks about NUMBERS not "Sets" as having a distance between them. Mathematics uses set theory to describe the sets, but doesn't define how you take the distance between a set and a number.
Yes, Geometry defines this, as Geometry doesn't consider (0,10] as a "set" but an open ended line, which is made of points.
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