Cantitate/Preț
Produs
Total produse
Vezi coșul
Ordinal Analysis with an Introduction to Proof Theory de Toshiyasu Arai

Ordinal Analysis with an Introduction to Proof Theory: Logic in Asia: Studia Logica Library

Autor Toshiyasu Arai
en Limba Engleză Paperback – 13 aug 2021
This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research topic in proof theory that is concerned with the ordinal theoretic content of formal theories. However, the book also addresses ordinal analysis and basic materials in proof theory of first-order or omega logic, presenting some new results and new proofs of known ones.
Primarily intended for graduate students and researchers in mathematics, especially in mathematical logic, the book also includes numerous exercises and answers for selected exercises, designed to help readers grasp and apply the main results and techniques discussed.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 36283 lei  3-5 săpt. +2138 lei  4-10 zile
  Springer Nature Singapore – 13 aug 2021 36283 lei  3-5 săpt. +2138 lei  4-10 zile
Hardback (1) 58200 lei  6-8 săpt.
  Springer Nature Singapore – 12 aug 2020 58200 lei  6-8 săpt.

Din seria Logic in Asia: Studia Logica Library

  • Modality, Semantics and Interpretations: The Second Asian Workshop on Philosophical Logic
    Preț: 37197 lei
  • 20% Structural Analysis of Non-Classical Logics: The Proceedings of the Second Taiwan Philosophical Logic Colloquium
    Preț: 57127 lei
  • 24% Philosophical Logic: Current Trends in Asia: Proceedings of AWPL-TPLC 2016
    Preț: 79632 lei
  • 15% Dynamics, Uncertainty and Reasoning: The Second Chinese Conference on Logic and Argumentation
    Preț: 62592 lei
  • Theory of Graded Consequence: A General Framework for Logics of Uncertainty
    Preț: 37654 lei
  • 15% Nonclassical Logics and Their Applications: Post-proceedings of the 8th International Workshop on Logic and Cognition
    Preț: 62332 lei
  • 18% Knowledge, Proof and Dynamics: The Fourth Asian Workshop on Philosophical Logic
    Preț: 92550 lei
  • 18% Context, Conflict and Reasoning: Proceedings of the Fifth Asian Workshop on Philosophical Logic
    Preț: 86946 lei
  • 15% Donald Davidson on Action, Mind and Value
    Preț: 68157 lei
  • 20% Analyzing the Logic of Sun Tzu in “The Art of War”, Using Mind Maps
    Preț: 57450 lei

Preț: 36283 lei

Preț vechi: 43714 lei
-17% Nou

Puncte Express: 544
Preț estimativ în valută:
6944€ • 7234$ • 5773£

Carte disponibilă

Livrare economică 21 ianuarie-04 februarie 25
Livrare express 04-10 ianuarie 25 pentru 3137 lei

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9789811564611
ISBN-10: 9811564612
Pagini: 313
Ilustrații: XVI, 313 p. 20 illus.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.47 kg
Ediția:1st ed. 2020
Editura: Springer Nature Singapore
Colecția Springer
Seria Logic in Asia: Studia Logica Library

Locul publicării:Singapore, Singapore

Cuprins

Introduction.- Calculi for classical logic.- Cut-elimination in depth.- Epsilon numbers.- Iterations.- Collapsings.

Recenzii

“Arai's book represents an important contribution to the field of ordinal analysis, and is recommended to any mathematician interested in the classification of the proof-theoretic strength of mathematical theories. … the book is well written, well organized, and concise … . Arai is to be commended for this significant resource for anyone who wishes to study ordinal analysis, and gain a better understanding of the proof-theoretic strength of theories.” (Matthew Jura, Mathematical Reviews, December, 2023)

Notă biografică

Toshiyasu Arai received a PhD from Tsukuba University. His thesis was on an extension of G. Takeuti’s consistency proofs.
He got positions in Nagoya University, Hiroshima University, Kobe University, Chiba University, and University of Tokyo. His research interest is in proof theory. He received the MSJ Autumn Prize from the Mathematical Society of Japan in 2004 for the research on the Hilbert’s second problem.

Textul de pe ultima copertă

This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research topic in proof theory that is concerned with the ordinal theoretic content of formal theories. However, the book also addresses ordinal analysis and basic materials in proof theory of first-order or omega logic, presenting some new results and new proofs of known ones.
Primarily intended for graduate students and researchers in mathematics, especially in mathematical logic, the book also includes numerous exercises and answers for selected exercises, designed to help readers grasp and apply the main results and techniques discussed.

Caracteristici

Covers ordinal analysis at an advanced level, and proof theory at an elementary level Approaches ordinal analysis in a contemporary fashion Includes a wealth of exercises and answers, making it suitable for student use