portada Mathematical Logic: An Introduction to Model Theory (en Inglés)

Mathematical Logic: An Introduction to Model Theory (en Inglés)

Formato

Libro Físico

Autor

A. Lightstone

Editorial

Springer

Idioma

Inglés

N° páginas

338

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x1.9 cm

Peso

0.50 kg.

ISBN13

9781461587521

Categorías

Lógica matemática

Mathematical Logic: An Introduction to Model Theory (en Inglés)

A. Lightstone (Autor) · Springer · Tapa Blanda

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Reseña del libro "Mathematical Logic: An Introduction to Model Theory (en Inglés)"

Before his death in March, 1976, A. H. Lightstone delivered the manu- script for this book to Plenum Press. Because he died before the editorial work on the manuscript was completed, I agreed (in the fall of 1976) to serve as a surrogate author and to see the project through to completion. I have changed the manuscript as little as possible, altering certain passages to correct oversights. But the alterations are minor; this is Lightstone's book. H. B. Enderton vii Preface This is a treatment of the predicate calculus in a form that serves as a foundation for nonstandard analysis. Classically, the predicates and variables of the predicate calculus are kept distinct, inasmuch as no variable is also a predicate; moreover, each predicate is assigned an order, a unique natural number that indicates the length of each tuple to which the predicate can be prefixed. These restrictions are dropped here, in order to develop a flexible, expressive language capable of exploiting the potential of nonstandard analysis. To assist the reader in grasping the basic ideas of logic, we begin in Part I by presenting the propositional calculus and statement systems. This provides a relatively simple setting in which to grapple with the some- times foreign ideas of mathematical logic. These ideas are repeated in Part II, where the predicate calculus and semantical systems are studied.