Logic and Structure - Second edition

Dalen, D. van.

ISBN 10: 354012831X / ISBN 13: 9783540128311

Editore: Berlin/Heidelberg : Springer-Verlag, 1983

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Paperback, illustrated with numerous equations and diagrams, 8vo. Universitext.; Name in pen on title page.

Codice articolo 342014-ZA22

Dati bibliografici

• Titolo: Logic and Structure - Second edition
• Editore: Berlin/Heidelberg : Springer-Verlag
• Data di pubblicazione: 1983
• Lingua: Inglese
• ISBN 10: 354012831X
• ISBN 13: 9783540128311
• Rilegatura: Brossura
• Edizione: seconda edizione
• Condizione: Good

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.