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MyWikiBiz, Author Your Legacy — Saturday April 12, 2025
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<math>L\!</math> assigns a unique set of &ldquo;local habitations&rdquo; <math>L(s)\!</math> to each element <math>s\!</math> in the underlying set <math>S.\!</math>
 
<math>L\!</math> assigns a unique set of &ldquo;local habitations&rdquo; <math>L(s)\!</math> to each element <math>s\!</math> in the underlying set <math>S.\!</math>
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<pre>
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'''Definition.''' A ''numbered set'' <math>(S, f),\!</math> based on the set <math>S\!</math> and the injective function <math>f : S \to \mathbb{N},</math> is defined as follows. &hellip;
Definition.  A "numbered set" <S, f>, based on the set S and the injective function f : S > N, is defined as follows. ???
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Definition.  An "enumerated set" <S, f> is a numbered set with a bijective f. ???
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'''Definition.''' An ''enumerated set'' <math>(S, f)\!</math> is a numbered set with a bijective <math>f.\!</math> &hellip;
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<pre>
 
The "n fold sum" ("co product", "disjoint union") of the sets X1, ... , Xn is notated and defined as follows:
 
The "n fold sum" ("co product", "disjoint union") of the sets X1, ... , Xn is notated and defined as follows:
  
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