LEADER 02746nam 22004455 450 001 9910437879203321 005 20240701180324.0 010 $a9781447145585 010 $a9781447145578 035 $a(MiAaPQ)EBC1081736 035 $a(MiAaPQ)EBC6310548 035 $a(PPN)168293773 035 $a(CKB)2670000000308614 035 $a(EXLCZ)992670000000308614 100 $a20121116d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLogic and structure /$fby Dirk van Dalen 205 $a5th ed. 2013. 210 1$aLondon :$cSpringer London :$cImprint: Springer,$d2013. 215 $a1 online resource (263 pages) 225 1 $aUniversitext,$x0172-5939 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Propositional Logic -- Predicate Logic -- Completeness and Applications -- Second Order Logic -- Intuitionistic Logic -- Normalization -- Gödel's theorem. 330 $aDirk van Dalen?s popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel?s famous incompleteness theorem. Propositional and predicate logic are presented in an easy-to-read style using Gentzen?s natural deduction. The book proceeds with some basic concepts and facts of model theory: a discussion on compactness, Skolem-Löwenheim, non-standard models and quantifier elimination. The discussion of classical logic is concluded with a concise exposition of second-order logic. In view of the growing recognition of constructive methods and principles, intuitionistic logic and Kripke semantics is carefully explored. A number of specific constructive features, such as apartness and equality, the Gödel translation, the disjunction and existence property are also included. The last chapter on Gödel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory. This new edition has been properly revised and contains a new section on ultra-products. 410 0$aUniversitext,$x0172-5939 606 $aLogic, Symbolic and mathematical 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 615 0$aLogic, Symbolic and mathematical. 615 14$aMathematical Logic and Foundations. 676 $a511.3 700 $avan Dalen$b Dirk$4aut$4http://id.loc.gov/vocabulary/relators/aut$0521698 906 $aBOOK 912 $a9910437879203321 996 $aLogic and structure$9837692 997 $aUNINA