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Topoi - The Categorial Analysis of Logic (Cód: 9690090)

Goldblatt,R.

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Topoi - The Categorial Analysis of Logic

R$212,60

Descrição

The first of its kind, this book presents a widely accessible exposition of topos theory, aimed at the philosopher-logician as well as the mathematician. It is suitable for individual study or use in class at the graduate level (it includes 500 exercises). It begins with a fully motivated introduction to category theory itself, moving always from the particular example to the abstract concept. It then introduces the notion of elementary topos, with a wide range of examples and goes on to develop its theory in depth, and to elicit in detail its relationship to Kripke'apos;s intuitionistic semantics, models of classical set theory and the conceptual framework of sheaf theory (``localization'apos;'apos; of truth). Of particular interest is a Dedekind-cuts style construction of number systems in topoi, leading to a model of the intuitionistic continuum in which a ``Dedekind-real'apos;'apos; becomes represented as a ``continuously-variable classical real number'apos;'apos;.

The second edition contains a new chapter, entitled Logical Geometry, which introduces the reader to the theory of geometric morphisms of Grothendieck topoi, and its model-theoretic rendering by Makkai and Reyes. The aim of this chapter is to explain why Deligne'apos;s theorem about the existence of points of coherent topoi is equivalent to the classical Completeness theorem for ``geometric'apos;'apos; first-order formulae.

Características

Peso 0.00 Kg
Produto sob encomenda Não
Marca ELSEVIER S&T
Número de Páginas 565 (aproximado)
Idioma 337
Acabamento e-book
Territorialidade Internacional
Formato Livro Digital Pdf
Gratuito Não
Proteção Drm Sim
Tamanho do Arquivo 26185
Início da Venda 28/06/2014
Código do Formato Pdf
Cód. Barras 9781483299211
Ano da Publicação 2014
AutorGoldblatt,R.