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"base:title": "0oo - Negative Cardinality"
"og:title": "Negative Cardinality"
"og:description": "&lt;i&gt;The invention of negative numbers proved to be useful in mathematics. Set operations, however, do not have the idea of having less than 0 elements. We reach the empty set {}, and then stop, but why should we? Imagine a property: subtracting an element that is not in a set creates a potentiality to annihilate such element. Such potentiality could be marked as elements with an apostrophe. I.e., {1,2&#x27;,2} = {1}. This idea was inspired by &quot;World’s Most Exclusive Club,&quot; when thinking about the super-exclusiveness.&lt;/i&gt; Credits: [Inyuki](https://www.halfbakery.com/user/Inyuki) of [HalfBakery](https://www.halfbakery.com/idea/Negative_20Cardinality)."
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"item:parent:intents": [{"url": "/intent/1268/", "title": "Science: Mathematics"}, {"url": "/intent/909/", "title": "Mathematics"}, {"url": "/intent/961/", "title": "General and Other Mathematics"}, {"url": "/intent/962/", "title": "Pure Mathematics"}]
"item:title": ".:en:Negative Cardinality.:lt:Neigiamas aibių kardinalumas.:cn:负元素个数性"
"item:summary": ".:en:A mathematical set property of having less than 0 elements (Just like antimatter in Physics.).:lt:Matematinė aibės savybė turėti mažiau nei 0 elementų (Aibės, kurios veikia panašiai kaip antimaterija Fizikoje.).:cn:少于0个元素的数学集合属性（就像物理学中的反物质。）"
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"item:body": |
    .:en
    
    <i>The invention of negative numbers proved to be useful in mathematics. Set operations, however, do not have the idea of having less than 0 elements. We reach the empty set {}, and then stop, but why should we? Imagine a property: subtracting an element that is not in a set creates a potentiality to annihilate such element. Such potentiality could be marked as elements with an apostrophe. I.e., {1,2',2} = {1}.
    
    This idea was inspired by "World’s Most Exclusive Club," when thinking about the super-exclusiveness.</i>
    
    Credits: [Inyuki](https://www.halfbakery.com/user/Inyuki) of [HalfBakery](https://www.halfbakery.com/idea/Negative_20Cardinality).
    
    .:lt
    <i>Neigiamų ir menamų skaičių išradimas pasirodė esąs naudingas matematikoje. Tačiau aibių operacijos kažkodėl nepalaiko galimybės turėti mažiau nei 0 elementų: atiminėdami elementus iš aibės pasiekiame tuščią aibe su 0 elementų, ir čia sustojame, bet kodėl gi sustoti? Tad, įsivaizduokime tokią elementų savybę: iš aibės atimant aibėje neegzistuojantį elementą, aibė įgyja potencialą anihiliuoti tokį pat elementą, kaip anti-dalelės anihiliuoja daleles. Toks neigiamas potencialas galėtų būti žymimas kokiu nors simboliu, kaip kad apostrofa, pvz.: {1,2',2} = {1}.
    
    Ši idėja įkvėpta "[Pasaulio išskirtiniausių klubo](https://www.halfbakery.com/idea/World_92s_20Most_20Exclusive_20Club)," idėjos, ir atsirado galvojant apie tai, kaip sukurti super-išskirtinumą.</i>
    
    Autorius: [Inyuki](https://www.halfbakery.com/user/Inyuki) iš [HalfBakery](https://www.halfbakery.com/idea/Negative_20Cardinality).
    
    .:cn
    负数和虚数的发明被证明对数学很有用。然而，集合运算并没有少于0个元素的概念。我们到达空集 {}，然后就停止了，但为什么要这样呢？想象一个属性：减去一个不在集合中的元素，会产生一个消灭该元素的潜力。这种潜力可以标记为带有撇号的元素。即，{1,2',2} = {1}。
    
    这个想法是受“世界上最独特的俱乐部”的启发，在思考超级排他性的时候。
    
    来自：[Inyuki](https://www.halfbakery.com/user/Inyuki) 从 [HalfBakery](https://www.halfbakery.com/idea/Negative_20Cardinality)。
"item:source-date": ""
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"item:owner": "Inyuki"
"item:created": "2021-06-03T17:03:58.277708"
"item:ownerlink": "/user/206/Inyuki"
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- "id": "l-7001"
  "url": "https://github.com/wefindx/asterisk/blob/master/docs/2016-09-28_Goals_are_Just_Assets.md"
  "text": "github.com: &quot;Goals are Just Assets&quot;"
  "note": |
    Goals are just assets with negative sign of carnality, so such theory would be useful for formalizing goal pursuit...
  "owner": "Mindey"
  "ownerlink": "/user/147/Mindey"
  "permalink": "/method/25001/?l=en#l-7001"
  "created": "2021-06-16T07:50:41.908759"
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- "id": "p-7001"
  "title": "Quantitative Cardinality Sets Project"
  "url": "/project/7001/"
  "mission": "Brining sets with quantifiabiable cardinality into common use in mathematics."
  "owner": "Inyuki"
  "ownerlink": "/user/206/Inyuki"
  "created": "2021-06-03T17:15:01.655272"
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- "id": "a-68001"
  "text": |
    Negative cardinality is deficit of something, a task yet to be done. It has to do with sequence, then, and time. Really interesting
  "owner": "skihappy"
  "ownerlink": "/user/14001/skihappy"
  "permalink": "/method/25001/?l=en#a-68001"
  "created": "2021-08-05T21:16:01.721735"
- "id": "a-69001"
  "text": |
    Yeah, perhaps it could simplify accounting, or maybe, it could even help make goal-pursuit more imaginary, as everything that's formalized as a set of sets of ... of sets, could suddenly have that [imaginary component](https://github.com/wefindx/asterisk/blob/master/docs/2016-09-28_Goals_are_Just_Assets.md#defining-on-goals) ("goals are just imaginary assets").
  "owner": "Inyuki"
  "ownerlink": "/user/206/Inyuki"
  "permalink": "/method/25001/?l=en#a-69001"
  "created": "2021-08-05T21:19:26.165141"
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