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- Dictionaryu·ni·ver·sal set/ˌyo͞onəˈvərsəl set/
noun
- 1. the set containing all objects or elements and of which all other sets are subsets.
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noun
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In set theory, a set which contains all objects, including itself
In set theory, a universal set is a set which contains all objects, including itself. In set theory as usually formulated, it can be proven in multiple ways that a universal set does not exist. However, some non-standard variants of set theory include a universal set. Wikipedia