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Logica e Estrutura
Paperback
ISBN13: 9781848902626
Publisher: Kings College Pubn
Published: Nov 15 2017
Pages: 274
Weight: 0.85
Height: 0.58 Width: 6.14 Depth: 9.21
Language: Portuguese
O livro-texto popular de Dirk van Dalen, Lógica e Estrutura, agora em sua quinta edição, oferece uma introdução abrangente aos fundamentos da lógica clássica e da lógica intuicionÃstica, da teoria dos modelos e do famoso teorema da incompletude de Gödel.
A lógica proposicional e a lógica de predicados são apresentadas num estilo fácil de ler usando a dedução natural de Gentzen. O livro prossegue com alguns conceitos e fatos básicos da teoria dos modelos: uma discussão sobre compaccidade, Skolem-Löwenheim, modelos não-padrão e eliminação de quantificadores. A discussão da lógica clássica é encerrada com uma exposição concisa da lógica de segunda ordem.
Em vista do crescente reconhecimento de métodos e princÃpios construtivos, a lógica intuicionÃstica e a semântica de Kripke são cuidadosamente exploradas. Uma série de caracterÃsticas construtivas especÃficas, como a separação e a igualdade, a tradução de Gödel, as propriedades da disjunção e da existência também foram incluÃdas.
O último capÃtulo sobre o primeiro teorema da incompletude de Gödel é autocontido e fornece uma exposição sistemática da teoria da recursão necessária.
Esta nova edição foi devidamente revisada e contém uma nova seção sobre ultraprodutos.
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