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set_cardinality [2013/09/08 15:59] nikolaj |
set_cardinality [2014/12/02 16:38] nikolaj |
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===== Set cardinality ===== | ===== Set cardinality ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $ X $ | | + | | @#55CCEE: context | @#55CCEE: $X$ ... set | |
- | + | | @#FFBB00: definiendum | @#FFBB00: $ \left|X\right|\equiv\mathrm{inf}\{\alpha\ |\ \alpha\in\mathrm{Ord}\ \land\ \alpha\approx X\} $ | | |
- | | @#FFBB00: $ \mathrm{card}(X)\equiv\mathrm{inf}\{\alpha\ |\ \alpha\in\mathrm{Ord}\ \land\ \alpha\approx X\} $ | | + | |
==== Discussion ==== | ==== Discussion ==== | ||
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=== Element of === | === Element of === | ||
[[Ordinal number]] | [[Ordinal number]] | ||
- | === Requirements === | + | === Context === |
[[Non-strict partial order]], [[Bijective function]] | [[Non-strict partial order]], [[Bijective function]] |