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An Outline of Mathematical Logic

Fundamental Results and Notions Explained with all Details

  • Andrzej Grzegorczyk

Part of the Synthese Library book series (SYLI, volume 70)

Table of contents

  1. Front Matter
    Pages I-X
  2. Andrzej Grzegorczyk
    Pages 65-262
  3. Andrzej Grzegorczyk
    Pages 263-395
  4. Andrzej Grzegorczyk
    Pages 396-564
  5. Back Matter
    Pages 565-596

About this book

Introduction

Recent years have seen the appearance of many English-language hand­ books of logic and numerous monographs on topical discoveries in the foundations of mathematics. These publications on the foundations of mathematics as a whole are rather difficult for the beginners or refer the reader to other handbooks and various piecemeal contribu­ tions and also sometimes to largely conceived "mathematical fol­ klore" of unpublished results. As distinct from these, the present book is as easy as possible systematic exposition of the now classical results in the foundations of mathematics. Hence the book may be useful especially for those readers who want to have all the proofs carried out in full and all the concepts explained in detail. In this sense the book is self-contained. The reader's ability to guess is not assumed, and the author's ambition was to reduce the use of such words as evident and obvious in proofs to a minimum. This is why the book, it is believed, may be helpful in teaching or learning the foundation of mathematics in those situations in which the student cannot refer to a parallel lecture on the subject. This is also the reason that I do not insert in the book the last results and the most modem and fashionable approaches to the subject, which does not enrich the essential knowledge in founda­ tions but can discourage the beginner by their abstract form. A. G.

Keywords

logic mathematical logic

Authors and affiliations

  • Andrzej Grzegorczyk
    • 1
  1. 1.Warsaw UniversityUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-2112-8
  • Copyright Information Springer Science+Business Media B.V. 1974
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-2114-2
  • Online ISBN 978-94-010-2112-8
  • Buy this book on publisher's site