Tag: natural numbers

The Successor Function in Arithmetic and Logic

The successor function, denoted S(n) = n + 1, is a foundational…

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Peano Arithmetic

A formal system of arithmetic using axioms by Giuseppe Peano, it provides…

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Pairing Function

A pairing function maps pairs of natural numbers to a single natural…

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Natural Numbers

The set of positive integers, often denoted by N, typically including zero.…

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Mathematical Induction Schema

Mathematical induction schema is a synonym for mathematical induction, a fundamental proof…

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Mathematical Induction

Mathematical induction is a powerful proof technique for natural numbers. It involves…

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Denumerable Sets: Understanding Countable Infinity

A denumerable set is one whose elements can be matched one-to-one with…

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Cardinal Numbers

Cardinal numbers represent the quantity or size of a set. They answer…

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