Foundations of Mathematics

Integer

An integer is a whole number that can be positive, negative, or zero, without any fractional or decimal component. Integers are a fundamental concept in mathematics, forming the set of numbers denoted by ℤ, derived from the German word Zahlen, meaning “numbers.” They are widely used in counting, ordering, algebra, computer science, and number theory. […]

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Turing completeness

Turing completeness is a property of a formal system of computation indicating that the system can simulate any Turing machine, and therefore perform any computation that is algorithmically definable, provided sufficient time and memory. In theoretical computer science, a system that is Turing complete possesses computational universality: it can execute any procedure that can be

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