Overview
Set theory is a fundamental area of mathematics that deals with the study of sets, which are collections of objects. It provides essential tools for understanding relationships between different groups of items, making it a cornerstone for various mathematical concepts. By learning about sets, eleme...
Key Terms
Example: A set of natural numbers: {1, 2, 3, 4}
Example: In the set {a, b, c}, 'a' is an element.
Example: A ∪ B = {1, 2} ∪ {2, 3} = {1, 2, 3}
Example: A ∩ B = {1, 2} ∩ {2, 3} = {2}
Example: A Venn diagram can illustrate the union and intersection of two sets.
Example: If A = {1, 2}, then A is a subset of B = {1, 2, 3}.
Related Topics
Logic
The study of reasoning and argumentation, closely related to set theory.
intermediateProbability
The study of uncertainty and chance, often using set theory concepts.
intermediateFunctions
A relation between sets that associates each element of one set with exactly one element of another set.
advancedKey Concepts
SetsElementsUnionIntersection