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mengde - Coggle Diagram
mengde
kardinaltall
A cardinal number
represents an equivalence class of sets between which there is a bijection. The number is the number of elements in any member of the equivalence class.
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potensmengde
endelig mengde
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For each element in \(X\), there are \(2\) choices, include or exclude. Therefore the power set have \(2^{|X|}\) elements.
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ordinaltall
Informally, ordinal numbers is a generalization of ordinal numerals (first, second, ..., nth) aimed to extend enumeration to infinite sets.
Formally, an ordinal number represents an equivalence class of well-ordered sets between which there is an order-preserving bijection. The number is the number of elements in any member of the equivalence class.
aksiomer
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spesifikasjon
mengde \(A\) og spesifikasjon \(S\Rightarrow\exists\text{mengde }B\) hvis elementer er elementene av \(A\) som oppfyller \(S\)
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