Logic and Structure. Second Edition

Dalen, Dirk van -

ISBN 10: 354012831X / ISBN 13: 9783540128311

Editore: Berlin ; New York: Springer (Universitext), 1983

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Formateinband: Broschierte Ausgabe X, 207 S. (24,5 cm) 2nd Edition; Minimaler blasser Fleck am Vorderdeckel; Papier gebräunt; sonst gut erhalten. Sprache: Englisch Gewicht in Gramm: 490 [Stichwörter: Propositional Logic, Predicate logic, Completeness and applications, Second-order-logic, Intuitionistic logic]. Codice articolo 61878

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Titolo: Logic and Structure. Second Edition

Casa editrice: Berlin ; New York: Springer (Universitext)

Data di pubblicazione: 1983

Legatura: Brossura

Condizione: Gut

Edizione: seconda edizione

Descrizione articolo

Riassunto:

Logic appears in a 'sacred' and in a 'profane' form. The sacred form is dominant in proof theory, the profane form in model theory. The phenomenon is not unfamiliar, one observes this dichotomy also in other areas, e.g. set theory and recursion theory. For one reason or another, such as the discovery of the set theoretical paradoxes (Cantor, Russell), or the definability paradoxes (Richard, Berry), a subject is treated for some time with the utmost awe and diffidence. As a rule, however, sooner or later people start to treat the matter in a more free and easy way. Being raised in the 'sacred' tradition, I was greatly surprised (and some­ what shocked) when I observed Hartley Rogers teaching recursion theory to mathema­ ticians as if it were just an ordinary course in, say, linear algebra or algebraic topology. In the course of time I have come to accept his viewpoint as the didac­ tically sound one: before going into esoteric niceties one should develop a certain feeling for the subject and obtain a reasonable amount of plain working knowledge. For this reason I have adopted the profane attitude in this introductory text, reserving the more sacred approach for advanced courses. Readers who want to know more about the latter aspect of logic are referred to the immortal texts of Hilbert-Bernays or Kleene.

Informazioni sull?autore:

Dirk van Dalen studied at the University of Amsterdam, where he obtained his PhD. He has taught since 1960 at Utrecht University, where he is full professor. He also taught at MIT and Oxford. His technical work is mostly in the area of intuitionistic mathematics and logic. He uses to call attention to the benefits and challenges of constructive methods. His current project is a biography of L.E.J. Brouwer and the editing of Brouwer's correspondence.