The natural numbers form an infinite set, commonly denoted ⁠ ⁠. Other examples of infinite sets include integer numbers (⁠ ⁠), rational number (⁠ ⁠), real numbers (⁠ ⁠), real vector spaces, curves …

Sets are defined as a collection of distinct elements. The elements of a set share a common characteristic among them. Learn about sets definition, representation, types, symbols, …

Set in math is a collection of well-defined objects. Learn about different forms and types of sets to solve related problems using Venn diagrams and formulas.

Jul 19, 2024 · The cartesian product of two sets, A and B, written as A × B, is the product of two non-empty sets. Here, the ordered pairs of elements are obtained, which means the first …

Forget everything you know about numbers. ... In fact, forget you even know what a number is. ... This is where mathematics starts.

Dec 12, 2025 · This theory grew out of his investigations of some concrete problems regarding certain types of infinite sets of real numbers. A set, wrote Cantor, is a collection of definite, …

Dec 3, 2025 · Symbols used to operate on sets include (which means "and" or intersection), and (which means "or" or union). The symbol is used to denote the set containing no elements, …

Mathematical objects can range from points in space to shapes, numbers, symbols, variables, other sets, and more. Each object in a set is referred to as an element.

Jul 23, 2025 · Set theory is a branch of mathematics that deals with collections of objects, called sets. A set is simply a collection of distinct elements, such as numbers, letters, or even …

Sets may be thought of as a mathematical way to represent collections or groups of objects. The concept of sets is an essential foundation for various other topics in mathematics.