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27. Mai 2024 · Set theory is a branch of mathematical logic that studies sets, which are collections of objects. These objects are called elements of the set. Learn complete set theory with examples.
- 10 Min.
2. Mai 2024 · Learn about set theory, a branch of mathematics that deals with the properties of collections of objects. Find out how to define, operate on, and classify sets, and see examples of infinite and finite sets.
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory — as a branch of mathematics — is mostly concerned with those that are relevant to mathematics as a whole.
Learn the basics of set theory, a branch of mathematics that studies sets and their relationships. Find out how to use symbols and notations to describe sets, subsets, intersections, unions, and more.
Learn the basics of set theory, including definitions, examples, and properties of sets, functions, and maps. See how to use the least number principle and induction principle to prove theorems.
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Some common examples of sets include \(\mathbb{R}\), the set of all real numbers, \(\mathbb{Z}\), the set of all integers, and the Cantor set. Unfortunately, these straightforward definitions can run into problems.
Example \(\PageIndex{2}\) Intuitively, a set is a collection of objects with certain properties. The objects in a set are called the elements or members of the set. We usually use uppercase letters to denote sets and lowercase letters to denote elements of sets. If \(a\) is an element of set \(A\), we write \(a \in A\). If \(a\) is not an ...
