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Numbers: The Universal Language (French: L'empire des nombres, lit. 'The Empire of Numbers') is a 1996 illustrated monograph on numbers and their history.Written by the French historian of science Denis Guedj, and published in pocket format by Éditions Gallimard as the 300th volume in their "Découvertes" collection [1] (known as "Abrams Discoveries" in the United States, and "New Horizons ...
Demonstration, with Cuisenaire rods, of the first four highly composite numbers: 1, 2, 4, 6. A highly composite number is a positive integer that has more divisors than all smaller positive integers.
Subsequently, Nicolas Chuquet wrote a book Triparty en la science des nombres which was not published during Chuquet's lifetime. However, most of it was copied by Estienne de La Roche for a portion of his 1520 book, L'arismetique. Chuquet's book contains a passage in which he shows a large number marked off into groups of six digits, with the ...
De Interpretatione or On Interpretation (Greek: Περὶ Ἑρμηνείας, Peri Hermeneias) is the second text from Aristotle's Organon and is among the earliest surviving philosophical works in the Western tradition to deal with the relationship between language and logic in a comprehensive, explicit, and formal way.
It follows from the definition that each natural number is equal to the set of all natural numbers less than it. This definition, can be extended to the von Neumann definition of ordinals for defining all ordinal numbers, including the infinite ones: "each ordinal is the well-ordered set of all smaller ordinals."
The prize was created by Charles-Laurent Bordin, a notary in Paris from 1794 to 1820, [1] who bequeathed 12,000 Francs to the Institut de France in his testament dated April 7, 1835, for the foundation of an annual prize to be given to each of the five:
The existence of non-standard models of arithmetic can be demonstrated by an application of the compactness theorem.To do this, a set of axioms P* is defined in a language including the language of Peano arithmetic together with a new constant symbol x.
A Young diagram representing visually a polite expansion 15 = 4 + 5 + 6. In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers.