Overview
- Presents a fresh examination of the logical and mathematical significance of Schopenhauer’s work for the first time in a century
- Highlights the common thread that runs between language, logic, and mathematics, demonstrating how they influence each other and address similar problems
- Cultivates a new understanding of Schopenhauer’s legacy by presenting a detailed analysis of his lectures on language, logic, and mathematics in English for the first time
Part of the book series: Studies in Universal Logic (SUL)
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Table of contents (17 chapters)
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Front Matter
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Language
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Front Matter
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Logic
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Front Matter
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Keywords
About this book
The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus, this work addresses the lack of research on these subjects in the context of Schopenhauer’s oeuvre by exposing their links to modern research areas, such as the “proof without words” movement, analytic philosophy and diagrammatic reasoning, demonstrating its continued relevance to current discourse on logic.
Beginning with Schopenhauer’s philosophy of language, the chapters examine the individual aspects of his semantics, semiotics, translation theory, language criticism, and communication theory. Additionally, Schopenhauer’s anticipation of modern contextualism is analyzed. The second section then addresses his logic, examining proof theory, metalogic, system of natural deduction, conversion theory, logical geometry, and the history of logic. Special focus is given to the role of the Euler diagrams used frequently in his lectures and their significance to broader context of his logic. In the final section, chapters discuss Schopenhauer’s philosophy of mathematics while synthesizing all topics from the previous sections, emphasizing the relationship between intuition and concept.
Aimed at a variety of academics, including researchers of Schopenhauer, philosophers, historians, logicians, mathematicians, and linguists, this title serves as a unique and vital resource for those interested in expanding their knowledge of Schopenhauer’s work as it relates to modern mathematical and logical study.
Editors and Affiliations
About the editor
Bibliographic Information
Book Title: Language, Logic, and Mathematics in Schopenhauer
Editors: Jens Lemanski
Series Title: Studies in Universal Logic
DOI: https://doi.org/10.1007/978-3-030-33090-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-33089-7Published: 09 June 2020
eBook ISBN: 978-3-030-33090-3Published: 08 June 2020
Series ISSN: 2297-0282
Series E-ISSN: 2297-0290
Edition Number: 1
Number of Pages: VI, 326
Number of Illustrations: 41 b/w illustrations, 31 illustrations in colour
Topics: History of Mathematical Sciences, Structures and Proofs, Philosophy of Mathematics