Proof Theory (Paperback, Softcover reprint of the original 1st ed. 1977)

This book was originally intended to be the second edition of the book "Beweis theorie" (Grundlehren der mathematischen Wissenschaften, Band 103, Springer 1960), but in fact has been completely rewritten. As well as classical predicate logic we also treat intuitionistic predicate logic. The sentential calculus properties of classical formal and semiformal systems are treated using positive and negative parts of formulas as in the book "Beweistheorie." In a similar way we use right and left parts of formulas for intuitionistic predicate logic. We introduce the theory of functionals of finite types in order to present the Gi: idel interpretation of pure number theory. Instead of ramified type theory, type-free logic and the associated formalization of parts of analysis which we treated in the book "Beweistheorie," we have developed simple classical type theory and predicative analysis in a systematic way. Finally we have given consistency proofs for systems of lI -analysis following the work of G. Takeuti. In order to do this we have introduced a constni'ctive system of notation for ordinals which goes far beyond the notation system in "Beweistheorie.""

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Grundlehren der mathematischen Wissenschaften, 225
Release date:	November 2011
First published:	1977
Authors:	K. Schutte
Translators:	J. N. Crossley
Dimensions:	244 x 170 x 17mm (L x W x T)
Format:	Paperback
Pages:	302
Edition:	Softcover reprint of the original 1st ed. 1977
ISBN-13:	978-3-642-66475-5
Categories:	Books > Science & Mathematics > Mathematics > General
LSN:	3-642-66475-X
Barcode:	9783642664755

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