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arbitrary_intersection [2013/09/05 20:13] nikolaj |
arbitrary_intersection [2014/03/21 11:11] (current) |
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| ===== Arbitrary intersection ===== | ===== Arbitrary intersection ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $S$ | | + | | @#55CCEE: context | @#55CCEE: $S$ | |
| - | | @#FFBB00: $x\in \bigcap S$ | | + | | @#FFBB00: definiendum | @#FFBB00: $x\in \bigcap S$ | |
| | $X\in S$ | | | $X\in S$ | | ||
| - | | @#55EE55: $ \forall X.\ x\in X $ | | + | | @#55EE55: postulate | @#55EE55: $ x\in X $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| This can be viewed as a version of [[intersection]], which however requires one more quantifier. | This can be viewed as a version of [[intersection]], which however requires one more quantifier. | ||
| - | ==== Reference ==== | + | === Reference === |
| Wikipedia: [[http://en.wikipedia.org/wiki/Intersection_%28set_theory%29#Arbitrary_intersections|Arbitrary intersection]] | Wikipedia: [[http://en.wikipedia.org/wiki/Intersection_%28set_theory%29#Arbitrary_intersections|Arbitrary intersection]] | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| - | === Requirements === | + | === Context === |
| [[Intersection]] | [[Intersection]] | ||
