set theory
"Set theory" is a foundational branch of mathematics dealing with collections of objects, which has significant applications across various mathematical disciplines.
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Definition
C1Mathematics
(technical, academic)The study of collections of distinct objects and the relationships between them.
Example
- Set theory helps in understanding the concept of infinity through the study of infinite sets.
- In set theory, the union of two sets includes all elements from both sets.
C2Music
(technical)A systematic approach to analyzing musical elements and their interrelations.
Example
- Musical set theory is used to analyze the structure of atonal music.
- Set theory in music can reveal patterns in a composer's work.
Similar
Terms that have similar or relatively close meanings to "set theory":
set theoreticallydisjoint setunderlying setdata setopen setgroup theory