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

 
9786130353841: Transfer Principle: Transfer Principle, Model Theory, Algebraic Geometry and Analytic Geometry, Abraham Robinson, Hyperreal Number, Real Number, Elementary Equivalence
Softcover
ISBN 10: 6130353847 ISBN 13: 9786130353841
Verlag: Betascript Publishers, 2010

Inhaltsangabe

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."

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Reseña del editor

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."

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Verlag
Betascript Publishers
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
6130353847
ISBN 13 
9786130353841
Einband
Tapa blanda
Anzahl der Seiten
88
Herausgeber
Surhone Lambert M., Tennoe Mariam T., Henssonow Susan F.
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar