Language Logic And Mathematics In Schopenhauer
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Language Logic And Mathematics In Schopenhauer
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Author : Jens Lemanski
language : en
Publisher: Springer Nature
Release Date : 2020-06-08
Language Logic And Mathematics In Schopenhauer written by Jens Lemanski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-08 with Mathematics categories.
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.
The Schopenhauerian Mind
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Author : David Bather Woods
language : en
Publisher: Taylor & Francis
Release Date : 2023-11-14
The Schopenhauerian Mind written by David Bather Woods and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-14 with Philosophy categories.
Arthur Schopenhauer (1788-1860) is now recognised as a figure of canonical importance to the history of philosophy. Schopenhauer founded his system on a highly original interpretation of Kant’s philosophy, developing an entirely novel and controversial worldview guided centrally by his striking conception of the human will and of art and beauty. His influence extends to figures as diverse as Fredrich Nietzsche, Ludwig Wittgenstein and Iris Murdoch within philosophy, and Richard Wagner, Thomas Hardy, Sigmund Freud, Thomas Mann, Samuel Beckett and Jorge Luis Borges outside it. The Schopenhauerian Mind is an outstanding, wide-ranging collection that explores the rich nature of Schopenhauer's ideas, texts, influences, and legacy. Comprising 38 original chapters by an international team of contributors, the volume is organised into five clear parts: Knowledge and Reality Aesthetics and the Arts Ethics, Politics, and Salvation Before Schopenhauer After Schopenhauer The Schopenhauerian Mind covers all the key areas and concepts of Schopenhauer’s philosophy, including fields omitted in previous studies. It is essential reading for students of nineteenth-century philosophy, Continental philosophy and philosophy of art and aesthetics, and also of interest to those in related disciplines such as literature and religion.
The Waltz Of Reason
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Author : Karl Sigmund
language : en
Publisher: Hachette UK
Release Date : 2023-12-19
The Waltz Of Reason written by Karl Sigmund and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-19 with Mathematics categories.
"A mind-bending jaunt ... that makes clear in fascinating detail how math is more than a sum of its parts" (Publishers Weekly) “Let no one ignorant of geometry enter here,” Plato warned would-be philosophers. Mathematician Karl Sigmund agrees. In The Waltz of Reason, he shows how mathematics and philosophy together have shaped our understanding of space, chance, logic, cooperation, voting, and the social contract. Sigmund shows how game theory is integral to moral philosophy, how statistics shaped the meaning of reason, and how the search for a logical basis for math leads to deep questions about the nature of truth itself. But this is no dry tome: Sigmund’s wit and humor shine as brightly as his erudition. The Waltz of Reason is an engrossing history of ideas as vibrant as a ballroom full of dancers, one that empowers as it entertains, following the complex and occasionally dizzying steps of the thinkers who have molded our thought and founded our world.
The Exoteric Square Of Opposition
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Author : Jean-Yves Beziau
language : en
Publisher: Springer Nature
Release Date : 2022-08-23
The Exoteric Square Of Opposition written by Jean-Yves Beziau and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-23 with Mathematics categories.
The theory of the square of opposition has been studied for over 2,000 years and has seen a resurgence in new theories and research since the second half of the twentieth century. This volume collects papers presented at the Sixth World Congress on the Square of Opposition, held in Crete in 2018, developing an interdisciplinary exploration of the theory. Chapter authors explore subjects such as Aristotle’s ontological square, logical oppositions in Avicenna’s hypothetical logic, and the power of the square of opposition to solve theological problems regarding predestination and theodicy. Other topics covered include: Hegel’s opposition to diagrams De Morgan’s unpublished octagon of opposition turnstile figures of opposition institutional model-theoretic treatment of oppositions Lacan’s four formulas of sexuation the theory of oppositional poly-simplexes The Exoteric Square of Opposition will appeal to pure logicians, historians of logic, semioticians, philosophers, theologians, mathematicians, and psychoanalysts.
Archaeology Of Logic
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Author : Andrew Schumann
language : en
Publisher: CRC Press
Release Date : 2023-04-27
Archaeology Of Logic written by Andrew Schumann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-27 with Science categories.
The question arises whether logic was given to us by God or whether it is the result of human evolution. I believe that at least the modus ponens rule ( A and if A then B implies B) is inherent in humans, but probably many other modern systems (e.g., resource logic, non - monotonic logic etc.) are the result of humans adapating to the environment. It is therefore of interest to study and compare the way logic is used in ancient cultures as well as the way logic is going to be used in our 21st century. This welcome book studies and compares the way formation of logic in three cultures: Ancient Greek (4th century B.C.), Judaic (1st century B.C. – 1st century A.D.) and Indo-Buddhist (2nd century A.D.) The book notes that logic became especially popular during the period of late antiquity in countries covered by the international trade of the Silk Road. This study makes a valuable contribution to the history of logic and to the very understanding of the origions and nature of logical thinking. -Prof. Dov Gabbay, King's College London, UK Andrew Schumann in his book demonsrates that logic step-by-step arose in different places and cultural circles. He argues that if we apply a structural-genealogical method, as well as turn to various sources, particularly, religious, philosophical, linguistic, etc., then we can obtain a more general and more adequate picture of emengence and development of logic. This book is a new and very valuable contribution to the history of logic as a manifestation of the human mind. - Prof. Jan Wolenski, Jagiellonian University, Poland The author of the Archaeology of Logic defends the claim, calling it "logic is aftter all", which sees logical competence as a practical skill that people began to learn in antiquity, as soom as they realized that avoiding cognitive biases in their reasoning would make their daily activities more successful. The in-depth reading of the book with its diving into the comparative quotations in the long dead or hardly known to most of us languages like Sumerian-Akkadian, Aramatic, Hebrew and etc, will be rewarded by the response that the logical competence is diverse and it can be trained, despite the inevitabilitiy of the reasoning fallacies; and that critical discussions and agaonal character of the social lide are the necessary tools for that. - Prof. Elena Lisanyuk
Logic In Question
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Author : Jean-Yves Béziau
language : en
Publisher: Springer Nature
Release Date : 2023-01-11
Logic In Question written by Jean-Yves Béziau and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-11 with Mathematics categories.
This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical discussions. Specific topics include: • logic and analogy• Chinese logic• nineteenth century British logic (in particular Boole and Lewis Carroll)• logical diagrams • the place and value of logic in Louis Couturat’s philosophical thinking• contributions of logical analysis for mathematics education• the exceptionality of logic• the logical expressive power of natural languages• the unification of mathematics via topos theory Logic in Question will appeal to pure logicians, historians of logic, philosophers, linguists, and other researchers interested in the history of logic, making this volume a unique and valuable contribution to the field.
Diagrammatic Representation And Inference
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Author : Valeria Giardino
language : en
Publisher: Springer Nature
Release Date : 2022-09-07
Diagrammatic Representation And Inference written by Valeria Giardino and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-07 with Computers categories.
This book constitutes the refereed proceedings of the 13th International Conference on the Theory and Application of Diagrams, Diagrams 2022, held in Rome, Italy, in September 2022. The 11 full papers and 19 short papers presented together with 5 posters were carefully reviewed and selected from 58 submissions. 8 chapters are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
A Companion To Schopenhauer
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Author : Bart Vandenabeele
language : en
Publisher: John Wiley & Sons
Release Date : 2012-02-13
A Companion To Schopenhauer written by Bart Vandenabeele and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-13 with Philosophy categories.
A Companion to Schopenhauer provides a comprehensive guide to all the important facets of Schopenhauer’s philosophy. The volume contains 26 newly commissioned essays by prominent Schopenhauer scholars working in the field today. A thoroughly comprehensive guide to the life, work, and thought of Arthur Schopenhauer Demonstrates the range of Schopenhauer’s work and illuminates the debates it has generated 26 newly commissioned essays by some of the most prominent Schopenhauer scholars working today reflect the very latest trends in Schopenhauer scholarship Covers the full range of historical and philosophical perspectives on Schopenhauer’s work Discusses his seminal contributions to our understanding of knowledge, perception, morality, science, logic and mathematics, Platonic Ideas, the unconscious, aesthetic experience, art, colours, sexuality, will, compassion, pessimism, tragedy, pleasure, and happiness
Diagrammatic Representation And Inference
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Author : Amrita Basu
language : en
Publisher: Springer Nature
Release Date : 2021-09-21
Diagrammatic Representation And Inference written by Amrita Basu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-21 with Computers categories.
This book constitutes the refereed proceedings of the 12th International Conference on the Theory and Application of Diagrams, Diagrams 2021, held virtually in September 2021. The 16 full papers and 25 short papers presented together with 16 posters were carefully reviewed and selected from 94 submissions. The papers are organized in the following topical sections: design of concrete diagrams; theory of diagrams; diagrams and mathematics; diagrams and logic; new representation systems; analysis of diagrams; diagrams and computation; cognitive analysis; diagrams as structural tools; formal diagrams; and understanding thought processes. 10 chapters are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Diagrammatic Representation And Inference
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Author : Jens Lemanski
language : en
Publisher: Springer Nature
Release Date : 2024-09-08
Diagrammatic Representation And Inference written by Jens Lemanski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-08 with Computers categories.
This book constitutes the refereed proceedings of the 14th International Conference on the Theory and Application of Diagrams, Diagrams 2024, held in Münster, Germany, during September 27–October 1, 2024. The 17 full papers, 19 short papers and 11 papers of other types included in this book were carefully reviewed and selected from 69 submissions. They were organized in topical sections as follows: Keynote Talks; Analysis of Diagrams; Euler and Venn Diagrams; Diagrams in Logic; Diagrams and Applications; Diagram Tools; Historical Aspects of Diagrams; and Posters.