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Jens Lemanski - Language, Logic, and Mathematics in Schopenhauer

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Jens Lemanski Language, Logic, and Mathematics in Schopenhauer
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Contents
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Studies in Universal Logic Series Editor Jean-Yves Bziau Federal University - photo 1
Studies in Universal Logic
Series Editor
Jean-Yves Bziau
Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
Editorial Board
Hajnal Andrka
Hungarian Academy of Sciences, Budapest, Hungary
Mark Burgin
University of California, Los Angeles, CA, USA
Rzvan Diaconescu
Romanian Academy, Bucharest, Romania
Andreas Herzig
University Paul Sabatier, Toulouse, France
Arnold Koslow
City University of New York, New York, USA
Jui-Lin Lee
National Formosa University, Huwei Township, Taiwan
Larissa Maksimova
Russian Academy of Sciences, Novosibirsk, Russia
Grzegorz Malinowski
University of Ld, Ld, Poland
Francesco Paoli
University of Cagliari, Cagliari, Italy
Darko Sarenac
Colorado State University, Fort Collins, USA
Peter Schrder-Heister
University of Tbingen, Tbingen, Germany
Vladimir Vasyukov
Russian Academy of Sciences, Moscow, Russia

This series is devoted to the universal approach to logic and the development of a general theory of logics. It covers topics such as global set-ups for fundamental theorems of logic and frameworks for the study of logics, in particular logical matrices, Kripke structures, combination of logics, categorical logic, abstract proof theory, consequence operators, and algebraic logic. It includes also books with historical and philosophical discussions about the nature and scope of logic. Three types of books will appear in the series: graduate textbooks, research monographs, and volumes with contributed papers.

More information about this series at http://www.springer.com/series/7391 Edited by

  • Jean-Yves Bziau (Federal University of Rio de Janeiro, Brazil)

In association with

  • Hajnal Andrka (Hungarian Academy of Sciences, Budapest, Hungary)

  • Mark Burgin (University of California, Los Angeles, USA)

  • Razvan Diaconescu (Romanian Academy, Bucharest, Romania)

  • Andreas Herzig (Centre National de la Recherche Scientifique, Toulouse, France)

  • Arnold Koslow (City University of New York, USA)

  • Jui-Lin Lee (National Formosa University, Huwei Township, Taiwan)

  • Larissa Maksimova (Russian Academy of Sciences, Novosibirsk, Russia)

  • Grzegorz Malinowski (University of Lodz, Poland)

  • Francesco Paoli (University of Cagliari, Italy)

  • Darko Sarenac (Colorado State University, Fort Collins, USA)

  • Peter Schrder-Heister (University Tbingen, Germany)

  • Vladimir Vasyukov (Russian Academy of Sciences, Moscow, Russia)

Editor
Jens Lemanski
Language, Logic, and Mathematics in Schopenhauer
Editor Jens Lemanski Institute for Philosophy University of Hagen Hagen - photo 2
Editor
Jens Lemanski
Institute for Philosophy, University of Hagen, Hagen, Germany
ISSN 2297-0282 e-ISSN 2297-0290
Studies in Universal Logic
ISBN 978-3-030-33089-7 e-ISBN 978-3-030-33090-3
https://doi.org/10.1007/978-3-030-33090-3
Springer Nature Switzerland AG 2020
This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed.
The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This book is published under the imprint Birkhuser, www.birkhauser-science.com by the registered company Springer Nature Switzerland AG

The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Contents
Jens Lemanski
Part I Language
Matthias Koler
Micha Dobrzaski
Jens Lemanski
Gunnar Schumann
Sascha Dmig
Michel-Antoine Xhignesse
Part II Logic
Amirouche Moktefi
Valentin Pluder
Hubert Martin Schler and Jens Lemanski
Anna-Sophie Heinemann
Lorenz Demey
Jean-Yves Beziau
Part III Mathematics
Marco Segala
Jason M. Costanzo
Michael J. Bevan
Laura Follesa
Springer Nature Switzerland AG 2020
J. Lemanski (ed.) Language, Logic, and Mathematics in Schopenhauer Studies in Universal Logic https://doi.org/10.1007/978-3-030-33090-3_1
An Introduction to Language, Logic and Mathematics in Schopenhauer
Jens Lemanski
(1)
Institute for Philosophy, University of Hagen, Hagen, Germany
Jens Lemanski
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Abstract

This paper is an introduction to the volume Language, Logic and Mathematics in Schopenhauer. It shows the basic interpretations discussed in Schopenhauers research, explains the aims and tasks of Schopenhauers philosophy and shows the importance of language, logic and mathematics in Schopenhauers system.

Keywords
Schopenhauer System World Diagrams
Mathematics Subject Classification (2000)
Primary 99Z99 Secondary 00A00
Interpretations and Contradictions

It is probably not often the case that all three terms given in the title of the volume are mentioned in the same breath, and then also in connection with Arthur Schopenhauer. At first glance, the philosopher, who was born in Gdansk in 1788 and died in Frankfurt in 1860, seems typically not to be associated with any of the three topics mentioned, not with language, nor with mathematics, and certainly not with logic. Many philosophers seem to have a prejudiced view of Schopenhauer as a philosopher of the Irrational and of contradiction: His philosophical systemso the view might gois determined by the irrational principle of the will, which man should finally overcome in a mystical way and with the help of self-knowledge. In such a system, themes such as language, mathematics or logic, which are considered rational and exact, do not seem to play a significant role.

Serious scholarly opinions testify to this prejudice: The Romanist Eugenio Coseriu, for example, already judged as follows in the title of his 1979 essay: The Case of SchopenhauerA Dark Chapter in German Language Philosophy [, p. 431]

But these extreme positions have not remained without opposition: Gerold Ungeheuer, a famous communication scientist in Bonn has vehemently defended Schopenhauers philosophy of language against Coseriu: According to my judgment [] Coserius claims are mistaken, and according to my insight Coserius methods are contestable [].

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