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The language of mathematics has a wide vocabulary of specialist and technical terms. It also has a certain amount of jargon: commonly used phrases which are part of the culture of mathematics, rather than of the subject.
Set inclusions between the natural numbers (ℕ), the integers (ℤ), the rational numbers (ℚ), the real numbers (ℝ), and the complex numbers (ℂ). A number is a mathematical object used to count, measure, and label.
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."
Lontara is a descendant of the Kawi script, used in Maritime Southeast Asia around 800 CE. It is unclear whether the script is a direct descendant from Kawi, or derived from one of Kawi's other descendants.
Foundations of mathematics are the logical and mathematical framework that allows the development of mathematics without generating self-contradictory theories, and, in particular, to have reliable concepts of theorems, proofs, algorithms, etc.
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Within the framework of Zermelo–Fraenkel set theory, the axiom of regularity guarantees that no set is an element of itself. This implies that a singleton is necessarily distinct from the element it contains, [1] thus 1 and {} are not the same thing, and the empty set is distinct from the set containing only the empty set.
The Story of Maths is a four-part British television series outlining aspects of the history of mathematics.It was a co-production between the Open University and the BBC and aired in October 2008 on BBC Four.