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Arbeiten Zur Analysis Und Zur Mathematischen Logik
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Book Synopsis Arbeiten zur Analysis und zur mathematischen Logik by : Giuseppe Peano
Download or read book Arbeiten zur Analysis und zur mathematischen Logik written by Giuseppe Peano and published by Springer-Verlag. This book was released on 2013-03-13 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieser Band enthält fotomechanische Nachdrucke klassischer Arbeiten von Giuseppe Peano zur Analysis und zur mathematischen Logik aus den Jahren 1886 bis 1899, denen für die Herausbildung der gegenwärtigen Mathematik große Bedeutung zukommt. Im Nachwort berichtet der Herausgeber über die Entstehungsgeschichte der abgedruckten Arbeiten, über deren Stellung im Gesamtwerk Peanos und über ihre Verflechtung mit der Entwicklung der Mathematik um die Jahrhundertwende. Fotos und Archivalien komplettieren das Buch. Aus den Besprechungen: "Die mathematische Behandlung der Grundlagen der Mathematik ... ist aus der Verbindung zweier verschiedener Forschungsrichtungen ... hervorgegangen. Einerseits das Werk der Meister der Analysis und der Geometrie, sofern sie ihre Axiome formulierten und systematisierten, und das Werk von Cantor und anderen über Gebiete wie die Mengentheorie. Andererseits die symbolische Logik, die nach der notwendigen Entwicklungsperiode jetzt dank Peano und seinen Nachfolgern die technische Verwendbarkeit und logische Bündigkeit erreicht hat, die wesentlich sind für ein mathematisches Hilfsmittel zur Behandlung dessen, was bisher die Grundlagen der Mathematik gebildet hat." A.N. Whitehead, B. Russell#1
Book Synopsis Journal of analysis and its applications by :
Download or read book Journal of analysis and its applications written by and published by . This book was released on 1982 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Logic for Applications by : Anil Nerode
Download or read book Logic for Applications written by Anil Nerode and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the re cent dramatic growth in the applications oflogic to computer science. Thus, our choice oftopics has been heavily influenced by such applications. Of course, we cover the basic traditional topics: syntax, semantics, soundnes5, completeness and compactness as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much ofour book, however, deals with other less traditional topics. Resolution theorem proving plays a major role in our treatment of logic especially in its application to Logic Programming and PRO LOG. We deal extensively with the mathematical foundations ofall three ofthese subjects. In addition, we include two chapters on nonclassical logics - modal and intuitionistic - that are becoming increasingly important in computer sci ence. We develop the basic material on the syntax and semantics (via Kripke frames) for each of these logics. In both cases, our approach to formal proofs, soundness and completeness uses modifications of the same tableau method in troduced for classical logic. We indicate how it can easily be adapted to various other special types of modal logics. A number of more advanced topics (includ ing nonmonotonic logic) are also briefly introduced both in the nonclassical logic chapters and in the material on Logic Programming and PROLOG.
Book Synopsis Ernst Zermelo - Collected Works/Gesammelte Werke by : Ernst Zermelo
Download or read book Ernst Zermelo - Collected Works/Gesammelte Werke written by Ernst Zermelo and published by Springer Science & Business Media. This book was released on 2010-01-20 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ernst Zermelo (1871-1953) is regarded as the founder of axiomatic set theory and best-known for the first formulation of the axiom of choice. However, his papers include also pioneering work in applied mathematics and mathematical physics. This edition of his collected papers will consist of two volumes. Besides providing a biography, the present Volume I covers set theory, the foundations of mathematics, and pure mathematics and is supplemented by selected items from his Nachlass and part of his translations of Homer's Odyssey. Volume II will contain his work in the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field which comments on the historical background, motivations, accomplishments, and influence.
Book Synopsis The Legacy of Kurt Schütte by : Reinhard Kahle
Download or read book The Legacy of Kurt Schütte written by Reinhard Kahle and published by Springer Nature. This book was released on 2020-08-10 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematische Logik von 1847 bis zur Gegenwart by : Roland Wagner-Döbler
Download or read book Mathematische Logik von 1847 bis zur Gegenwart written by Roland Wagner-Döbler and published by Walter de Gruyter. This book was released on 2012-01-02 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematische Logik Von 1847 Bis Zur Gegenwart: Eine Bibliometrische Untersuchung.
Book Synopsis Language, Logic and Formalization of Knowledge by : Brian McGuinness
Download or read book Language, Logic and Formalization of Knowledge written by Brian McGuinness and published by . This book was released on 1998 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Gentzens Problem by : Eckart Menzler-Trott
Download or read book Gentzens Problem written by Eckart Menzler-Trott and published by Springer-Verlag. This book was released on 2013-03-07 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gerhard Gentzen (1909-1945) ist der Begründer der modernen mathematischen Beweistheorie. Die nachhaltige Bedeutung seiner Arbeiten zeigt sich bis heute in der Informatik und beeindruckt durch Einsicht und Eleganz. Der Autor dokumentiert in dieser ersten umfassenden Biografie Leben und Werk Gerhard Gentzens, seinen tragischen Lebensweg: Festnahme 1945 in Prag, Gefangenschaft und Tod. Plus: zahlreiche, bislang unveröffentlichte Dokumente und Fotos.
Book Synopsis Mathematik und Logik by : Moritz Pasch
Download or read book Mathematik und Logik written by Moritz Pasch and published by . This book was released on 1924 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis 1 written by Wolfgang Walter and published by Springer. This book was released on 2013-12-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 1991 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Grundzüge der mathematischen Logik by : Petr S. Novikov
Download or read book Grundzüge der mathematischen Logik written by Petr S. Novikov and published by Vieweg+Teubner Verlag. This book was released on 1973-01-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In der modernen Mathematik ist die sogenannte axiomatische Methode weit verbreitet; die Entdeckung der nichteuklidischen Geometrie durch Lobatschewski ist eine ihrer Bis heute hat die axiomatische Methode durch Beriihrung mit anderen Ideen Quellen. eine gewaltige Evolution erlebt und nicht nur neue Methoden, sondern auch neue Prinzi pien des physikalischen und des mathematischen Denkens hervorgebracht. Die axiom a tische Methode hat sich in zwei Etappen entwickelt. Die erste reicht von der Entdeckung durch Lobatschewski bis zu den Arbeiten Hilberts tiber die Grundlagen der Mathematik; die zweite von die sen Arbeiten Hilberts bis heute. Die zweite Etappe stellt eine Zusarn menfassung von Ideen aus der Geometrie mit der sich parallel entwickelnden Theorie dar, die uns als "symbolische" oder "mathematische" Logik bekannt ist. Als Ergebnis ent stand eine neue Disziplin, fiir welche die Bezeichnung mathematische Logik beibehalten wurde. Bevor wir auf die mathematische Logik selbst zu sprechen komrnen, betrachten wir kurz den ihr vorausgehenden Stand der axiomatischen Methode und versuchen, wenig stens in den allgemeinsten Ziigen die Griinde fiir die Entstehung dieser Methode und die vor ihr stehenden Aufgaben zu klaren. Das Wesen der axiomatischen Methode besteht in einer spezifischen Weise, mathematische Objekte und Relationen zwischen ihnen zu defi nieren. Beim Studium eines Systems von Objekten irgendwelcher Art verwenden wir be stimrnte Termini, welche die Eigenschaften dieser Objekte und die Relationen zwischen ihnen ausdrticken.
Book Synopsis Matter, Imagination, and Geometry by : Dmitriĭ Vladimirovich Nikulin
Download or read book Matter, Imagination, and Geometry written by Dmitriĭ Vladimirovich Nikulin and published by Ashgate Publishing. This book was released on 2002 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book considers conditions of applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction of mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. The author explores questions in the history of philosophy and science, particularly in late antiquity and early modernity. The focus is on key thinkers Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Book Synopsis Crisis and Critique: Philosophical Analysis and Current Events by : Anne Siegetsleitner
Download or read book Crisis and Critique: Philosophical Analysis and Current Events written by Anne Siegetsleitner and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-06-08 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary deep-reaching changes – whether in financial or real economy, in Europe’s political conditions, in the context of scientific theories, in the field of global (environmental) security, or gender relations – are also a challenge to philosophy. The volume comprises cutting-edge scholarly articles from renowned philosophers with various geographical backgrounds and from different philosophical strands. Next to investigating general questions as to the relation of philosophy and critique (What is philosophical critique and which philosophical concepts of critique are of importance today? Where do we need it most? Where are its limits?), the articles focus on issues like theories of democracy and modes of election; the roles of emotions in the political realm; challenges from a widespread discontent in society to politics and science; changes to social identities and different theoretical approaches to social identity formation. The book is indispensable for all who are interested in what contemporary philosophy has to say on crucial issues of our time.
Book Synopsis Computation Theory and Logic by : Egon Börger
Download or read book Computation Theory and Logic written by Egon Börger and published by Springer Science & Business Media. This book was released on 1987-07-29 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Memory of Dieter Rötting. 24.8.1937 - 4.6.1984. On the Occasion of the 50th Anniversary of His Birth
Book Synopsis Paul Lorenzen -- Mathematician and Logician by : Gerhard Heinzmann
Download or read book Paul Lorenzen -- Mathematician and Logician written by Gerhard Heinzmann and published by Springer Nature. This book was released on 2021-08-17 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book examines the many contributions of Paul Lorenzen, an outstanding philosopher from the latter half of the 20th century. It features papers focused on integrating Lorenzen's original approach into the history of logic and mathematics. The papers also explore how practitioners can implement Lorenzen’s systematical ideas in today’s debates on proof-theoretic semantics, databank management, and stochastics. Coverage details key contributions of Lorenzen to constructive mathematics, Lorenzen’s work on lattice-groups and divisibility theory, and modern set theory and Lorenzen’s critique of actual infinity. The contributors also look at the main problem of Grundlagenforschung and Lorenzen’s consistency proof and Hilbert’s larger program. In addition, the papers offer a constructive examination of a Russell-style Ramified Type Theory and a way out of the circularity puzzle within the operative justification of logic and mathematics. Paul Lorenzen's name is associated with the Erlangen School of Methodical Constructivism, of which the approach in linguistic philosophy and philosophy of science determined philosophical discussions especially in Germany in the 1960s and 1970s. This volume features 10 papers from a meeting that took place at the University of Konstanz.
