Rekursiv

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Rekursiv

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Author : David Michael Harland
language : en
Publisher: Ellis Horwood
Release Date : 1988

Rekursiv written by David Michael Harland and has been published by Ellis Horwood this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Computers categories.

The Legacy Of Kurt Sch Tte

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Author : Reinhard Kahle
language : en
Publisher: Springer Nature
Release Date : 2020-08-10

The Legacy Of Kurt Sch Tte written by Reinhard Kahle and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-10 with Mathematics categories.

This book on proof theory centers around the legacy of Kurt Schütte and its current impact on the subject. Schütte was the last doctoral student of David Hilbert who was the first to see that proofs can be viewed as structured mathematical objects amenable to investigation by mathematical methods (metamathematics). Schütte inaugurated the important paradigm shift from finite proofs to infinite proofs and developed the mathematical tools for their analysis. Infinitary proof theory flourished in his hands in the 1960s, culminating in the famous bound Γ0 for the limit of predicative mathematics (a fame shared with Feferman). Later his interests shifted to developing infinite proof calculi for impredicative theories. Schütte had a keen interest in advancing ordinal analysis to ever stronger theories and was still working on some of the strongest systems in his eighties. The articles in this volume from leading experts close to his research, show the enduring influence of his work in modern proof theory. They range from eye witness accounts of his scientific life to developments at the current research frontier, including papers by Schütte himself that have never been published before.

Philosophy Of Logic

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Author :
language : en
Publisher: Elsevier
Release Date : 2006-11-29

Philosophy Of Logic written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-29 with Mathematics categories.

The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert's program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights.- Written by leading logicians and philosophers- Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic- Clear, in-depth expositions of technical detail- Progressive organization from general considerations to informal to symbolic logic to nonclassical logics- Presents current work in symbolic logic within a unified framework- Accessible to students, engaging for experts and professionals- Insightful philosophical discussions of all aspects of logic- Useful bibliographies in every chapter

Rekursive Funktionen

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Author : Heinz Lüneburg
language : de
Publisher: Springer-Verlag
Release Date : 2013-03-07

Rekursive Funktionen written by Heinz Lüneburg and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Computers categories.

Dieses Buch basiert auf Vorlesungen, die der Autor in Kaiserslautern gehalten hat. Ihr wesentliches Anliegen war, die Turing-berechenbaren Wortfunktionen auf eine von jeglichem Maschinenmodell unabhängige Weise zu charakterisieren, nämlich als die partiell Wort-rekursiven Wortfunktionen. Wortfunktionen lassen sich mittels arithmetischer Funktionen darstellen und zwar so, dass die partiell rekursiven arithmetischen Funktionen den partiell Wort-rekursiven Wortfunktionen entsprechen, was für sich gesehen schon nicht auf der Hand liegt. Auf diese Weise erhält man den Begriff der Turing-Berechenbarkeit auch für arithmetische Funktionen. Der Satz also, dass die Turing-berechenbaren Wortfunktionen gerade die partiell rekursiven Wortfunktionen sind, ist überhaupt nicht selbstverständlich, so dass auf dem Wege zu diesem Satz eine ganze Reihe hoch interessanter weiterer Sätze zu beweisen sind. Dies alles ist hier aufgeschrieben.

Collected Works

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Author : Kurt Gödel
language : en
Publisher:
Release Date : 1986

Collected Works written by Kurt Gödel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Logic, Symbolic and mathematical categories.

Kurt Godel (1906-1978) was the most outstanding logician of the 20th century. This second volume of Godel's works collects the remainder of his published work, covering the period 1938-1974. Each article or closely related group of articles is preceded by an introductory note that elucidates it and places it in its historical context.

Word Problems Ii

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Author : Lev D. Beklemishev
language : en
Publisher: Elsevier
Release Date : 2000-04-01

Word Problems Ii written by Lev D. Beklemishev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Computers categories.

WORD PROBLEMS II

Comptes Rendus

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Author : Colloque sur les acides aminés. Clinique médicale universitaire (Hôpital Nestlé)
language : en
Publisher:
Release Date : 1954

Comptes Rendus written by Colloque sur les acides aminés. Clinique médicale universitaire (Hôpital Nestlé) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Agriculture categories.

Theoretische Informatik

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Author : Ingo Wegener
language : de
Publisher: Springer-Verlag
Release Date : 2005-10-07

Theoretische Informatik written by Ingo Wegener and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-07 with Computers categories.

Das Neue an dieser Einführung in die Theoretische Informatik ist die konsequent algorithmenorientierte Sichtweise, d.h. eine Umsetzung in praktisch und theoretisch effiziente Algorithmen wird angestrebt. Auf diese Weise bietet das Buch eine Einführung in die zentralen Gebiete der Theoretischen Informatik, wie sie in einer Einführungsvorlesung an deutschen Universitäten vorgesehen ist.

Zeitschrift F R Mathematische Logik Und Grundlagen Der Mathematik

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Author :
language : en
Publisher:
Release Date : 1960

Zeitschrift F R Mathematische Logik Und Grundlagen Der Mathematik written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Logic, Symbolic and mathematical categories.

Ernst Specker Selecta

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Author : Gerhard Jäger
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Ernst Specker Selecta written by Gerhard Jäger and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Language Arts & Disciplines categories.

Ernst Specker has made decisive contributions towards shaping direc tions in topology, algebra, mathematical logic, combinatorics and algorith mic over the last 40 years. We have derived great pleasure from marking his seventieth birthday by editing the majority of his scientific publications, and thus making his work available in a unified form to the mathematical community. In order to convey an idea of the richness of his personality, we have also included one of his sermons. Of course, the publication of these Selecta can pay tribute only to the writings of Ernst Specker. It cannot adequately express his originality and wisdom as a person nor the fascination he exercises over his students, colleagues and friends. We can do no better than to quote from Hao Wang in the 'Festschrift' Logic and Algorithmic I: Specker was ill for an extended period before completing his formal education. He had the leisure to think over many things. This experi ence may have helped cultivating his superiority as a person. In terms of traditional Chinese categories, I would say there is a taoist trait in him in the sense of being more detached, less competitive, and more under standing. I believe he has a better sense of what is important in life and arranges his life better than most logicians. We are grateful to Birkhauser Verlag for the production of this Selecta volume. Our special thanks go to Jonas Meon for sharing with us his intimate knowledge of his friend Ernst Specker.