Difference between revisions of "Complement"
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In most standard set theories, one cannot speak of the set of all elements which are not contained in <math>X</math>, as this would imply the existance of a set of all sets, which is contradictory, as this leads to [[Russell's Paradox]]. | In most standard set theories, one cannot speak of the set of all elements which are not contained in <math>X</math>, as this would imply the existance of a set of all sets, which is contradictory, as this leads to [[Russell's Paradox]]. | ||
| + | In geometry, the compliment of an angle <math>\angle A</math> is any angle that has a measurement of <math>90^{\circ} - m\angle A</math>. | ||
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[[Category:Set theory]] | [[Category:Set theory]] | ||
Latest revision as of 09:26, 10 January 2025
In set theory, the complement of a set 
generally refers to a set of elements which are not elements of . Usually, these elements must be restricted to some set 
of which is a subset; in this case, we speak of the complement of with respect to . Such a set is sometimes denoted 
, 
, 
, or 
.
In most standard set theories, one cannot speak of the set of all elements which are not contained in , as this would imply the existance of a set of all sets, which is contradictory, as this leads to Russell's Paradox.
In geometry, the compliment of an angle 
is any angle that has a measurement of 
.
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