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| Both sides previous revision Previous revision Next revision | Previous revision | ||
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set_cardinality [2014/12/02 16:36] nikolaj |
set_cardinality [2014/12/05 11:02] nikolaj |
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| ==== Set ==== | ==== Set ==== | ||
| | @#55CCEE: context | @#55CCEE: $X$ ... set | | | @#55CCEE: context | @#55CCEE: $X$ ... set | | ||
| - | | @#FFBB00: definiendum | @#FFBB00: $ \mathrm{card}(X)\equiv\mathrm{inf}\{\alpha\ |\ \alpha\in\mathrm{Ord}\ \land\ \alpha\approx X\} $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ \left|X\right|\equiv\mathrm{inf}\{\alpha\ |\ \alpha\in\mathrm{Ord}\ \land\ \alpha\approx X\} $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| Line 8: | Line 8: | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Cardinal_numbers|Cardinal numbers]], [[http://en.wikipedia.org/wiki/Cardinal_assignment|Cardinal assignment]], [[http://en.wikipedia.org/wiki/Von_Neumann_cardinal_assignment|Von Neumann cardinal assignment]] | Wikipedia: [[http://en.wikipedia.org/wiki/Cardinal_numbers|Cardinal numbers]], [[http://en.wikipedia.org/wiki/Cardinal_assignment|Cardinal assignment]], [[http://en.wikipedia.org/wiki/Von_Neumann_cardinal_assignment|Von Neumann cardinal assignment]] | ||
| ==== Parents ==== | ==== Parents ==== | ||
| + | === Context === | ||
| + | [[Non-strict partial order]], | ||
| + | [[Bijective function]] | ||
| === Element of === | === Element of === | ||
| [[Ordinal number]] | [[Ordinal number]] | ||
| - | === Context === | ||
| - | [[Non-strict partial order]], [[Bijective function]] | ||
