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Topoi : the categorial analysis of logic / Robert Goldblatt

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Studies in logic and the foundations of mathematics ; volume 98Publisher: Amsterdam ; New York ; Oxford : North-Holland, 1984Edition: Revised editionDescription: 1 Online-Ressource (xiv, 551 Seiten) : Illustrationen, DiagrammeISBN:
  • 0444867112
  • 9780444867117
  • 9781483299211
  • 148329921X
  • 0444867112
  • 9780444867117
Subject(s): Additional physical formats: 9781483299211. | 148329921X. | 9780444867117 | 0444867112 | Erscheint auch als: Topoi. Druck-Ausgabe Rev. ed. Amsterdam [u.a.] : North-Holland, 1984. XVI, 551 S.DDC classification:
  • 512.55
RVK: RVK: SK 320LOC classification:
  • QA169
Online resources: Summary: 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''PPN: PPN: 822016125Package identifier: Produktsigel: BSZ-33-EBS-C1UB | GBV-33-EBS-MRI | GBV-33-Freedom-BL | ZDB-33-EBS | ZDB-33-ESD | ZDB-1-ELC | BSZ-33-EBS-HSAA
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