Transfer Principle | Transfer Principle, Model Theory, Algebraic Geometry and Analytic Geometry, Abraham Robinson, Hyperreal Number, Real Number, Elementary Equivalence

Lambert M. Surhone (u. a.)

ISBN 10: 6130353847 / ISBN 13: 9786130353841

Edité par OmniScriptum, 2026

Transfer Principle | Transfer Principle, Model Theory, Algebraic Geometry and Analytic Geometry, Abraham Robinson, Hyperreal Number, Real Number, Elementary Equivalence | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130353841 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 113214593

Synopsis :

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In model theory, a transfer principle states that all statements of some language that are true for some structure, are true for another structure. One of the first examples was the Lefschetz principle, stating that any sentence in the first-order language of fields true for the complex numbers is also true for any algebraically closed field of characteristic 0. Its most common use is in Abraham Robinson''s non-standard analysis of the hyperreal numbers, where the transfer principle states that any sentence expressible in a certain formal language that is true of real numbers is also true of hyperreal numbers. The transfer principle concerns the logical relation between the properties of the real numbers R, and the properties of a larger field denoted *R called the hyperreals. The field *R includes, in particular, infinitesimal (infinitely small") numbers, providing a rigorous mathematical realisation of a project initiated by Leibniz."

Détails bibliographiques

Titre : Transfer Principle | Transfer Principle, ...
Éditeur : OmniScriptum
Date d'édition : 2026
Reliure : Taschenbuch
Etat : Neu