set theoretically
"Set theoretically" describes an approach or perspective that employs set theory, a foundational branch of mathematics dealing with the study of sets and their properties.
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Definition
C1Mathematics
(technical, academic)In a manner that uses the principles and concepts of set theory.
Example
- The problem was solved set theoretically by defining the relationships between the sets involved.
- Set theoretically, the union of two sets includes all elements from both sets.
C1Mathematics
(technical, academic)Using the formal language and operations of set theory to analyze or construct mathematical objects.
Example
- The theorem was proven set theoretically, highlighting the internal consistency of the framework.
- Set theoretically, the intersection of two sets contains only the elements common to both.
Similar
Terms that have similar or relatively close meanings to "set theoretically":