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Deducibility and Decidability

Autor R. R. Rockingham Gill
en Limba Engleză Hardback – 26 apr 1990
This book presents the results of these thinkers in a newly unified manner and displays their significance for the philosophy of mathematics.
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Specificații

ISBN-13: 9780415000338
ISBN-10: 0415000335
Pagini: 172
Dimensiuni: 138 x 216 x 17 mm
Greutate: 0.36 kg
Ediția:1
Editura: Taylor & Francis
Colecția Routledge
Locul publicării:Oxford, United Kingdom

Cuprins

Chapter I: The Natural Numbers and their Conventional Ordering II: Addition, Multiplication and Exponentiation III: The Theory of ∑-Forms IV: Effectiveness V: Recursively Defined Predicates VI: The ‘Arithmetization of Syntax’ VII: Diagonalization VIII: Gödel’s Theorems, and their Relatives IX: The Limits of Representability X: The Arithmetical Hierarchy, Envoi

Descriere

The works of Gödel, Tarski, Kleene and Church are fundamental to our understanding of the foundations of mathematics. In Deducibility and Decidability, their results and significance are presented in a new, unified manner.