Peano Axioms

The Peano Axioms are a set of foundational rules in mathematics designed to define the natural numbers (0, 1, 2, …). They establish basic properties, such as the existence of a first number (0), the concept of "successor" (each number has a next number), and the idea that no two different numbers can have the same successor. These axioms ensure that we can perform arithmetic and explore number properties logically. In set theory, they help formalize our understanding of counting and the structure of numbers, serving as a basis for more complex mathematical concepts.