The successor function, denoted S(n) = n + 1, is a foundational concept in arithmetic and logic, defining the next…
A formal system of arithmetic using axioms by Giuseppe Peano, it provides a foundational basis for the theory of natural…
A pairing function maps pairs of natural numbers to a single natural number, preserving uniqueness. This allows ordered pairs to…
The set of positive integers, often denoted by N, typically including zero. Natural numbers form the foundation for counting, ordering,…
Mathematical induction schema is a synonym for mathematical induction, a fundamental proof technique used in mathematics to establish the truth…
Mathematical induction is a powerful proof technique for natural numbers. It involves proving a base case and then demonstrating that…
A denumerable set is one whose elements can be matched one-to-one with the natural numbers. This concept is fundamental to…
Cardinal numbers represent the quantity or size of a set. They answer the question 'how many?' and form the basis…