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Incompletetude Na Terra DOS Conjuntos
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ISBN10: 1848901097
ISBN13: 9781848901094
Publisher: Kings College Pubn
Published: May 6 2013
Pages: 178
Weight: 0.57
Height: 0.38 Width: 6.14 Depth: 9.21
Language: Portuguese
ISBN13: 9781848901094
Publisher: Kings College Pubn
Published: May 6 2013
Pages: 178
Weight: 0.57
Height: 0.38 Width: 6.14 Depth: 9.21
Language: Portuguese
Apresentam-se os teoremas fundamentais de incompletude e indecidibilidade da lógica matemática no contexto da teoria de conjuntos. Os resultados correspondentes para a aritmética conseguemse obter facilmente a partir destes e são também apresentados. Evita-se, em geral, o recurso à enumeração de Gödel, exceto quando se estabelece uma relação explÃcita entre a teoria de conjuntos e a aritmética. Este livro não pressupõe muitos conhecimentos prévios por parte do leitor. Apenas se pede alguma maturidade matemática, alguma familiaridade com lógica formal e que o leitor conheça o teorema da completude, embora não necessariamente a sua prova. Tudo o resto será desenvolvido e demonstrado, do Teorema de Tarski ao Segundo Teorema da Incompletude de Gödel. São propostos ao longo de todo o livro exercÃcios variados.
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