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L'ensemble des textes offre une synthèse de la conception systématique de Dedekind sur les nombres, leurs propriétés, leur lien avec l'invention de concepts d'algèbre abstraite et permet une appréciation des options philosophiques qui soutenaient cette conception. Aux théories exposant les fondements des mathématiques, sont ajoutés des extraits de correspondance datés de 1876-1890.

Number theory --- Théorie des nombres --- Théorie des nombres --- Mathématiques --- Mathematics --- Philosophie --- Philosophy --- Nombres --- Nombres algébriques, théorie des --- Nombres irrationnels --- Systèmes, théorie des --- Mathématiques --- Nombres algébriques, théorie des --- Systèmes, théorie des

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Number theory --- Surreal numbers --- Théorie des nombres --- Number Theory --- 511 --- 517.13 --- #KOPO:Prof. R. Holvoet --- Numbers, Surreal --- Number study --- Numbers, Theory of --- Algebra --- Theory of real numbers --- 517.13 Theory of real numbers --- 511 Number theory --- Théorie des nombres --- Mathématiques --- Philosophie

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Magic squares. --- Number theory. --- Mathematical recreations. --- Carrés magiques --- Théorie des nombres --- Jeux mathématiques --- #KVIV:BB --- Carrés magiques --- Théorie des nombres --- Jeux mathématiques --- Combinatorial analysis --- Magic squares --- Analyse combinatoire --- Carrés latins --- Combinatorial analysis. --- Carrés latins --- Histoire des mathematiques --- Theorie des nombres --- Moyen age --- Histoire

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Number theory --- Arithmetic functions --- Fonctions arithmétiques --- NUMBERS, THEORY of --- Functions, Arithmetic --- Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- Arithmetic functions. --- 511.33 Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- Fonctions arithmétiques --- Théorie des nombres --- Numbers, Prime --- 511.33 --- Prime numbers --- Numbers, Natural --- Number study --- Numbers, Theory of --- Algebra --- Functions of complex variables --- Number theory. --- Numbers, Prime. --- Nombres premiers

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Number theory --- Algebraic number theory --- Elliptic functions --- Functions, Abelian --- Functions, Meromorphic --- Transcendental numbers --- Théorie des nombres algébriques --- Fonctions elliptiques --- Congresses --- Congrès --- 511.3 --- -Elliptic functions --- -Functions, Abelian --- -Functions, Meromorphic --- -Transcendental numbers --- -Numbers, Transcendental --- Irrational numbers --- Meromorphic functions --- Abelian functions --- Abelian integrals --- Hyper-elliptic integrals --- Hyperelliptic functions --- Hyperelliptic integrals --- Integrals, Abelian --- Functions of complex variables --- Elliptic integrals --- Functions, Elliptic --- Integrals, Elliptic --- Transcendental functions --- Integrals, Hyperelliptic --- Analytical, additive and other number-theory problems. Diophantine approximations --- Congresses. --- -Analytical, additive and other number-theory problems. Diophantine approximations --- 511.3 Analytical, additive and other number-theory problems. Diophantine approximations --- -511.3 Analytical, additive and other number-theory problems. Diophantine approximations --- Numbers, Transcendental --- Théorie des nombres algébriques --- Congrès