Iterated Inductive Definitions And Subsystems Of Analysis Recent Proof Theorical Studies
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Iterated Inductive Definitions And Subsystems Of Analysis Recent Proof Theoretical Studies
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Author : W. Buchholz
language : en
Publisher: Springer
Release Date : 2006-11-14
Iterated Inductive Definitions And Subsystems Of Analysis Recent Proof Theoretical Studies written by W. Buchholz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Iterated Inductive Definitions And Subsystems Of Analysis
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Author : W. Buchholz
language : en
Publisher:
Release Date : 2014-01-15
Iterated Inductive Definitions And Subsystems Of Analysis written by W. Buchholz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Iterated Inductive Definitions And Subsystems Of Analysis
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Author : Wilfried Buchholz
language : en
Publisher: Springer Verlag
Release Date : 1981-01-01
Iterated Inductive Definitions And Subsystems Of Analysis written by Wilfried Buchholz and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Mathematics categories.
Iterated Inductive Definitions And Subsystems Of Analysis
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Author :
language : en
Publisher:
Release Date : 1982
Iterated Inductive Definitions And Subsystems Of Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
Feferman On Foundations
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Author : Gerhard Jäger
language : en
Publisher: Springer
Release Date : 2018-04-04
Feferman On Foundations written by Gerhard Jäger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-04 with Mathematics categories.
This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory. In his philosophical research, Feferman explored questions such as “What is logic?” and proposed particular positions regarding the foundations of mathematics including, for example, his “conceptual structuralism.” The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman’s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman’s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.
Handbook Of Proof Theory
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Author : S.R. Buss
language : en
Publisher: Elsevier
Release Date : 1998-07-09
Handbook Of Proof Theory written by S.R. Buss and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-09 with Mathematics categories.
This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth.The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.
Harvey Friedman S Research On The Foundations Of Mathematics
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Author : L.A. Harrington
language : en
Publisher: Elsevier
Release Date : 1985-11-01
Harvey Friedman S Research On The Foundations Of Mathematics written by L.A. Harrington and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-11-01 with Mathematics categories.
This volume discusses various aspects of Harvey Friedman's research in the foundations of mathematics over the past fifteen years. It should appeal to a wide audience of mathematicians, computer scientists, and mathematically oriented philosophers.
Logic Language Information And Computation
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Author : Lawrence S. Moss
language : en
Publisher: Springer
Release Date : 2018-06-26
Logic Language Information And Computation written by Lawrence S. Moss and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-26 with Mathematics categories.
Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 25th Workshop on Logic, Language, Information and Communication, WoLLIC 2018, held inBogota, Colombia, in July 2018. The 16 full papers together with 3 short papers and 3 invited talks presented were fully reviewed and selected from 30 submissions. The vision for the conference is to provide an annual forum which is large enough to provide meaningful interactions between logic and the sciences related to information and computation.
Axiomatic Thinking Ii
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Author : Fernando Ferreira
language : en
Publisher: Springer Nature
Release Date : 2022-09-17
Axiomatic Thinking Ii written by Fernando Ferreira and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-17 with Mathematics categories.
In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere. The title takes its name from David Hilbert's seminal talk Axiomatisches Denken, given at a meeting of the Swiss Mathematical Society in Zurich in 1917. This marked the beginning of Hilbert's return to his foundational studies, which ultimately resulted in the establishment of proof theory as a new branch in the emerging field of mathematical logic. Hilbert also used the opportunity to bring Paul Bernays back to Göttingen as his main collaborator in foundational studies in the years to come. The contributions are addressed to mathematical and philosophical logicians, but also to philosophers of science as well as physicists and computer scientists with an interest in foundations.
Ordinal Analysis With An Introduction To Proof Theory
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Author : Toshiyasu Arai
language : en
Publisher: Springer Nature
Release Date : 2020-08-11
Ordinal Analysis With An Introduction To Proof Theory written by Toshiyasu Arai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-11 with Philosophy categories.
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.