Definition: The term "classiques entiers" (or "integers", in French) refers to a class of mathematical objects, particularly those that can be defined using only positive integers as well as the usual operations of addition, subtraction, multiplication, and division on these positive integers. These are called "classique" because they represent an equivalent class of objects compared to other sets. Classiques entiers are also known as "prime numbers", as they are prime (having no divisors other than 1 and themselves) in the sense that there exist no other natural numbers with a divisor less than their own, and they can be defined by only positive integers. This class of objects is used extensively in number theory and set theory, where it is crucial for problems involving infinite sets. Some common examples of classiques entiers include: - Integers - Rational numbers (fractions) - Real numbers - Complex numbers The use of these numbers is fundamental in mathematics because they allow a rich description of algebraic structures such as groups and rings. They are also used in various branches of science, such as number theory and number systems, to study properties and relationships between sets. Understanding classiques entiers is essential for studying number theory, combinatorics, set theory, algebra, topology, probability theory, and many other areas of mathematics.
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