Paperback or Softback. Condition: New. G�del's Theorems and Zermelo's Axioms: A Firm Foundation of Mathematics 0.78. Book. Seller Inventory # BBS-9783030522810

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G� del's Theorems and Zermelo's Axioms : A Firm Foundation of Mathematics

Lorenz Halbeisen

Published by Birkhäuser, 2021

ISBN 10: 3030522814 ISBN 13: 9783030522810

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Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Seller Inventory # ria9783030522810_lsuk

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Godel's Theorems and Zermelo's Axioms : A Firm Foundation of Mathematics

Halbeisen, Lorenz

Published by Birkhauser 2021-10, 2021

ISBN 10: 3030522814 ISBN 13: 9783030522810

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G� del's Theorems and Zermelo's Axioms : A Firm Foundation of Mathematics

Halbeisen, Lorenz; Krapf, Regula

Published by Birkh�user, 2021

ISBN 10: 3030522814 ISBN 13: 9783030522810

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G�del's Theorems and Zermelo's Axioms

Regula Krapf

Published by Springer International Publishing Okt 2021, 2021

ISBN 10: 3030522814 ISBN 13: 9783030522810

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental notions of mathematical logic, including logical axioms, formal proofs and the basics of model theory. Building on this, in the second and third part of the book the authors present detailed proofs of G�del's classical completeness and incompleteness theorems. In particular, the book includes a full proof of G�del's second incompleteness theorem which states that it is impossible to prove the consistency of arithmetic within its axioms. The final part is dedicated to an introduction into modern axiomatic set theory based on the Zermelo's axioms, containing a presentation of G�del's constructible universe of sets. A recurring theme in the whole book consists of standard and non-standard models of several theories, such as Peano arithmetic, Presburger arithmetic and the real numbers.The book addresses undergraduate mathematics students and is suitable for a one or two semester introductory course into logic and set theory. Each chapter concludes with a list of exercises. 248 pp. Englisch. Seller Inventory # 9783030522810

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