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Arbeiten Zur Analysis Und Zur Mathematischen Logik
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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 383 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 recent dramatic growth in the applications of logic to computer science. Thus our choice of topics has been heavily influenced by such applications. Of course, we cover the basic traditional topics - syntax, semantics, soundness, completeness and compactness - as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much of our 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 PROLOG. We deal extensively with the mathematical foundations of all three of these subjects. In addition, we include two chapters on nonclassical logic- modal and intuitionistic - that are becoming increasingly important in computer science. We develop the basic material on the syntax and se mantics (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 introduced for classical logic. We indicate how it can easily be adapted to various other special types of modal log ics. A number of more advanced topics (including nonmonotonic logic) are also briefly introduced both in the nonclassical logic chapters and in the material on Logic Programming and PROLOG.
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 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.
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:
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 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:
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 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 Kurt Gödel und die mathematische Logik by : Werner DePauli-Schimanovich
Download or read book Kurt Gödel und die mathematische Logik written by Werner DePauli-Schimanovich and published by Werner DePauli-Schimanovich. This book was released on 2005 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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 International Catalogue of Scientific Literature [1901-14]. by :
Download or read book International Catalogue of Scientific Literature [1901-14]. written by and published by . This book was released on 1902 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kant-Studien written by and published by . This book was released on 1919 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Transformationelle Analyse by : Senta Trömel-Plötz
Download or read book Transformationelle Analyse written by Senta Trömel-Plötz and published by . This book was released on 1972 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Zeitschrift für mathematische Logik und Grundlagen der Mathematik by :
Download or read book Zeitschrift für mathematische Logik und Grundlagen der Mathematik written by and published by . This book was released on 1960 with total page 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt:
![Download International Catalogue of Scientific Literature [1901-14]. PDF Online Free](https://books.google.com/books/content/images/frontcover/EBZLAQAAMAAJ?fife=w200-h370)
