Karl Jaspers. PDF Download

Author: Michael Drmota
Publisher: Böhlau Verlag Wien
ISBN: 3205201183
Category : Education
Languages : en
Pages : 154

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Book Description
The Faculty of Mathematics and Geoinformation of the TU Wien has existed as such since the division of the early, very large Faculty of Technical Sciences in 2004. It provides its own study programmes in both subjects, as well as ensuring the mathematical and geometrical basic education of the students of all seven other faculties. The faculty also conducts research in broad and highly crucial focal areas. The current volume is part of a comprehensive commemorative series published in 2015 for the bicentennial memorial of the TU Wien providing information on the research activities, teaching tasks, and history of the Faculty of Mathematics and Geoinformation, in particular over the last 50 years. Special attention has been paid to the exceptional scientific achievements of faculty members.

Author: Richard Wisser
Publisher: Rodopi
ISBN: 9783884798485
Category : Philosophy
Languages : en
Pages : 388

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Author: Carola Bernack-Schüler
Publisher: Springer
ISBN: 3658096144
Category : Education
Languages : en
Pages : 242

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Book Description
International mathematics education researchers give a differentiated overview of views and beliefs of both teachers and students. Beliefs about how to teach mathematics have a high impact on the instructional practice of teachers. In the same way, views and beliefs about mathematics are an essential factor to explain achievement and performance of students. The 19th MAVI conference added a variety of research perspectives to the international discussions of mathematics related beliefs. The authors of this volume have compiled a rich selection of research results, which may further enhance the discussion of MAVI topics in the future.

Author: Hans Niels Jahnke
Publisher: American Mathematical Soc.
ISBN: 0821826239
Category : Mathematics
Languages : en
Pages : 434

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Book Description
Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.

Author: Stefan Müller-Stach
Publisher: Springer Nature
ISBN: 3662694832
Category :
Languages : en
Pages : 177

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Author: L.W. Beck
Publisher: Springer Science & Business Media
ISBN: 9401030995
Category : Philosophy
Languages : en
Pages : 792

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Book Description
The Third International Kant Congress met at the University of Rochester from March 30 through April 4, 1970. Over two hundred students of Kant's philosophy from Europe, Africa, and North and South America attended. The Congress was organized by a Committee consisting of Gottfried Martin of the University of Bonn and myself as co-chairmen, and the following members: Professors Ingeborg Heidemann (Bonn), Gerhard Funke (Mainz), Edmond Ortigues (Rennes), Stephan Korner (Bristol), W.H. Walsh (Edinburgh), George A. Schrader, Jr. (Yale), and John R. Silber (University of Texas). Generous financial support for the Congress was provided by Mr. Kilian J. Schmitt of Rochester. One hundred and eight papers were presented in six plenary and twenty two concurrent sessions. Chairmen of programs, in addition to members of the Committee, were: Professors John E. Atwell, Douglas P. Dryer, A.R.C. Duncan, Stanley G. French, Klaus Hartmann, Robert L. Hol mes, Peter Jones, George L. Kline, Peter Krausser, Robert G. Miller, John D. McFarland, Fritz-Joachim von Rintelen, Charles M. Sherover, Ernst Konrad Specht, Dietrich Schulz, Giorgio Tonelli, Robert Tredwell, Kurt Weinberg, James B. Wilbur, and Arnulf Zweig.

Author: Werner DePauli-Schimanovich
Publisher: Werner DePauli-Schimanovich
ISBN: 385487815X
Category : Logic, Symbolic and mathematical
Languages : de
Pages : 571

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Book Description

Author: Elena Ficara
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110340828
Category : Philosophy
Languages : en
Pages : 232

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Book Description
The papers in this volume present some of the most recent results of the work about contradictions in philosophical logic and metaphysics; examine the history of contradiction in crucial phases of philosophical thought; consider the relevance of contradictions for political and philosophical actuality. From this consideration a common question emerges: the question of the irreducibility, reality and productive force of (some) contradictions.

Author: Dirk W. Hoffmann
Publisher: Springer Nature
ISBN: 3662695502
Category : Gödel's theorem
Languages : en
Pages : 393

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Book Description
In 1931, the mysterious-sounding article "On Formally Undecidable Propositions of Principia Mathematica and Related Systems I" shook the mathematical world. In this article, Kurt Gödel proved two incompleteness theorems that have fundamentally changed our view of mathematics. Gödel's theorems manifest that the concept of truth and the concept of provability cannot coincide. Since their discovery, the incompleteness theorems have attracted much attention, and a flood of articles and books have been devoted to their striking consequences. For good reasons, however, hardly any work deals with Gödel's article in its original form: His complex lines of thought described with meticulous precision, the many definitions and theorems, and the now largely outdated notation turn Gödel's historical masterpiece into a difficult read. This book explores Gödel's original proof in detail. All individual steps are carefully explained and illustrated with numerous examples. However, this book is more than just an annotated version of the historical article, as the proper understanding of Gödel's work requires a solid grasp of history. Thus, numerous excursions take the reader back to the beginning of the twentieth century. It was the time when mathematics experienced one of its greatest crises, when type theory and axiomatic set theory were taking shape, and Hilbert's formalistic logic and Brouwer's intuitionistic mathematics were openly confronting each other. This book is the revised translation of the second edition of the author's German language book "Die Gödel'schen Unvollständigkeitssätze". The author Dirk W. Hoffmann is a professor at the Department of Computer Science and Business Information Systems at the Karlsruhe University of Applied Sciences in Germany.

Author: Thomas Bedürftig
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110468336
Category : Mathematics
Languages : en
Pages : 476

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Book Description
The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book problems connected with the concept of a number, with the infinity, the continuum and the infinitely small, with the applicability of mathematics as well as with sets, logic, provability and truth and with the axiomatic approach to mathematics are considered. In Chapter 6 the meaning of infinitesimals to mathematics and to the elements of analysis is presented. The authors of the present book are mathematicians. Their aim is to introduce mathematicians and teachers of mathematics as well as students into the philosophy of mathematics. The book is suitable also for professional philosophers as well as for students of philosophy, just because it approaches philosophy from the side of mathematics. The knowledge of mathematics needed to understand the text is elementary. Reports on historical conceptions. Thinking about today‘s mathematical doing and thinking. Recent developments. Based on the third, revised German edition. For mathematicians - students, teachers, researchers and lecturers - and readersinterested in mathematics and philosophy. Contents On the way to the reals On the history of the philosophy of mathematics On fundamental questions of the philosophy of mathematics Sets and set theories Axiomatic approach and logic Thinking and calculating infinitesimally – First nonstandard steps Retrospection