Logic and structure
Dirk van Dalen s popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel s famous incompleteness theorem. Propositional and predicate logic are presented in an easy-to-read style...
Enregistré dans:
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| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Udgivelse: | 5th edition. |
| Serier: | Universitext
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| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Logic and structure, Dirk van Dalen, 5th edition, 2013, London, Springer, 1 vol. (X-263 p.), Universitext, 978-1-4471-4557-8 • Logic and Structure, Texte imprimé, 9781447145592 • Logic and structure, Dirk van Dalen, 5th edition, 2013, London, Springer, 1 vol. (X-263 p.), Universitext, 978-1-4471-4557-8 |
| Summary: | Dirk van Dalen s popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel s famous incompleteness theorem. Propositional and predicate logic are presented in an easy-to-read style using Gentzen s natural deduction. The book proceeds with some basic concepts and facts of model theory: a discussion on compactness, Skolem-Löwenheim, non-standard models and quantifier elimination. The discussion of classical logic is concluded with a concise exposition of second-order logic. In view of the growing recognition of constructive methods and principles, intuitionistic logic and Kripke semantics is carefully explored. A number of specific constructive features, such as apartness and equality, the Gödel translation, the disjunction and existence property are also included. The last chapter on Gödel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory. This new edition has been properly revised and contains a new section on ultra-products |
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| Emne beskrivelse: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografi: | Bibliogr. p. 257 de l'édition imprimée. Index |
| ISBN: | 9781447145585 |
| ISSN: | 2191-6675 |
| Adgang: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |