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Topoi : the categorial analysis of logic /
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 introducti...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York ; North-Holland :
Elsevier Science Publishers,
1984.
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| Edición: | Revised edition. |
| Colección: | Studies in logic and the foundations of mathematics ;
v. 98. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
| Sumario: | 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's intuitionistic semantics, models of classical set theory and the conceptual framework of sheaf theory (``localization'' 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'' becomes represented as a ``continuously-variable classical real number''. |
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| Descripción Física: | 1 online resource (xvi, 551 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781483299211 148329921X |