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 and most sorts …

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, formulas, …

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 element is …

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, distinguishable …

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, called the empty …

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 everyday objects, …

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.