Language, Logic, and Mathematics in Schopenhauer

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Publisher : Birkhäuser
ISBN 13 : 9783030330897
Total Pages : 326 pages
Book Rating : 4.3/5 (38 download)

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Book Synopsis Language, Logic, and Mathematics in Schopenhauer by : Jens Lemanski

Download or read book Language, Logic, and Mathematics in Schopenhauer written by Jens Lemanski and published by Birkhäuser. This book was released on 2020-06-09 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Language, Logic, and Mathematics in Schopenhauer

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Author :
Publisher : Springer Nature
ISBN 13 : 3030330907
Total Pages : 318 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Language, Logic, and Mathematics in Schopenhauer by : Jens Lemanski

Download or read book Language, Logic, and Mathematics in Schopenhauer written by Jens Lemanski and published by Springer Nature. This book was released on 2020-06-08 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher : Taylor & Francis
ISBN 13 : 1000987450
Total Pages : 592 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis The Schopenhauerian Mind by : David Bather Woods

Download or read book The Schopenhauerian Mind written by David Bather Woods and published by Taylor & Francis. This book was released on 2023-11-14 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Diagrammatic Representation and Inference

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Publisher : Springer Nature
ISBN 13 : 3031151461
Total Pages : 386 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Diagrammatic Representation and Inference by : Valeria Giardino

Download or read book Diagrammatic Representation and Inference written by Valeria Giardino and published by Springer Nature. This book was released on 2022-09-07 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Diagrammatic Representation and Inference

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Publisher : Springer Nature
ISBN 13 : 3030860620
Total Pages : 570 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Diagrammatic Representation and Inference by : Amrita Basu

Download or read book Diagrammatic Representation and Inference written by Amrita Basu and published by Springer Nature. This book was released on 2021-09-21 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

World and Logic

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Publisher :
ISBN 13 : 9781848903845
Total Pages : 474 pages
Book Rating : 4.9/5 (38 download)

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Book Synopsis World and Logic by : Jens Lemanski

Download or read book World and Logic written by Jens Lemanski and published by . This book was released on 2021-12-15 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the relationship between the world and logic, between intuition and language, between objects and their quantitative determinations? Rationalists, on the one hand, hold that the world is structured in a rational way. Representationalists, on the other hand, assume that language, logic, and mathematics are only the means to order and describe the intuitively given world. In World and Logic, Jens Lemanski takes up three surprising arguments from Arthur Schopenhauer's hitherto undiscovered Berlin Lectures, which concern the philosophy of language, logic, and mathematics. Based on these arguments, Lemanski develops a new position entitled 'rational representationalism': the world is always structured by human beings according to linguistic, logical, and mathematical principles, but the basic vocabulary of these structural descriptions already contains metaphors taken from the world around us.

Diagrammatic Representation and Inference

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Publisher : Springer Nature
ISBN 13 : 3031712919
Total Pages : 497 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Diagrammatic Representation and Inference by : Jens Lemanski

Download or read book Diagrammatic Representation and Inference written by Jens Lemanski and published by Springer Nature. This book was released on with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Diagrammatic Representation and Inference

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Author :
Publisher : Springer Nature
ISBN 13 : 3030542491
Total Pages : 557 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Diagrammatic Representation and Inference by : Ahti-Veikko Pietarinen

Download or read book Diagrammatic Representation and Inference written by Ahti-Veikko Pietarinen and published by Springer Nature. This book was released on 2020-08-17 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on the Theory and Application of Diagrams, Diagrams 2020, held in Tallinn, Estonia, in August 2020.* The 20 full papers and 16 short papers presented together with 18 posters were carefully reviewed and selected from 82 submissions. The papers are organized in the following topical sections: diagrams in mathematics; diagram design, principles, and classification; reasoning with diagrams; Euler and Venn diagrams; empirical studies and cognition; logic and diagrams; and posters. *The conference was held virtually due to the COVID-19 pandemic. The chapters ‘Modality and Uncertainty in Data Visualization: A Corpus Approach to the Use of Connecting Lines,’ ‘On Effects of Changing Multi-Attribute Table Design on Decision Making: An Eye Tracking Study,’ ‘Truth Graph: A Novel Method for Minimizing Boolean Algebra Expressions by Using Graphs,’ ‘The DNA Framework of Visualization’ and ‘Visualizing Curricula’ are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

A Convex Mirror

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Publisher : Oxford University Press
ISBN 13 : 019759915X
Total Pages : 385 pages
Book Rating : 4.1/5 (975 download)

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Book Synopsis A Convex Mirror by : Marco Segala

Download or read book A Convex Mirror written by Marco Segala and published by Oxford University Press. This book was released on 2024 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Schopenhauer is most recognizable as "the philosopher of pessimism," the author of a system that teaches how art and morality can help human beings navigate life in "the worst of all possible worlds." This dominant image of Schopenhauer neglects a vital branch of his philosophy--the metaphysics of nature and its dialogue with contemporary science. The evolving relationship of Schopenhauer's philosophy to science provides a powerful interpretive tool, which A Convex Mirror uses to reflect the complexity of his philosophical system and shed light on its core concepts.

Archaeology of Logic

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Publisher : CRC Press
ISBN 13 : 100087107X
Total Pages : 440 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Archaeology of Logic by : Andrew Schumann

Download or read book Archaeology of Logic written by Andrew Schumann and published by CRC Press. This book was released on 2023-04-27 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

The Waltz of Reason

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Publisher : Basic Books
ISBN 13 : 1541602706
Total Pages : 346 pages
Book Rating : 4.5/5 (416 download)

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Book Synopsis The Waltz of Reason by : Karl Sigmund

Download or read book The Waltz of Reason written by Karl Sigmund and published by Basic Books. This book was released on 2023-12-19 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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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Publisher : Springer Nature
ISBN 13 : 3030908232
Total Pages : 480 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis The Exoteric Square of Opposition by : Jean-Yves Beziau

Download or read book The Exoteric Square of Opposition written by Jean-Yves Beziau and published by Springer Nature. This book was released on 2022-08-23 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic in Question

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Publisher : Springer Nature
ISBN 13 : 3030944522
Total Pages : 743 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Logic in Question by : Jean-Yves Béziau

Download or read book Logic in Question written by Jean-Yves Béziau and published by Springer Nature. This book was released on 2023-01-11 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Companion to Schopenhauer

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Publisher : John Wiley & Sons
ISBN 13 : 1119144809
Total Pages : 438 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis A Companion to Schopenhauer by : Bart Vandenabeele

Download or read book A Companion to Schopenhauer written by Bart Vandenabeele and published by John Wiley & Sons. This book was released on 2015-12-14 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Logic from Kant to Russell

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Publisher : Routledge
ISBN 13 : 9780367663346
Total Pages : 256 pages
Book Rating : 4.6/5 (633 download)

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Book Synopsis Logic from Kant to Russell by : Sandra Lapointe

Download or read book Logic from Kant to Russell written by Sandra Lapointe and published by Routledge. This book was released on 2020-09-30 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope and method of logic as we know it today eminently reflect the ground-breaking developments of set theory and the logical foundations of mathematics at the turn of the 20th century. Unfortunately, little effort has been made to understand the idiosyncrasies of the philosophical context that led to these tremendous innovations in the 19thcentury beyond what is found in the works of mathematicians such as Frege, Hilbert, and Russell. This constitutes a monumental gap in our understanding of the central influences that shaped 19th-century thought, from Kant to Russell, and that helped to create the conditions in which analytic philosophy could emerge. The aim of Logic from Kant to Russell is to document the development of logic in the works of 19th-century philosophers. It contains thirteen original essays written by authors from a broad range of backgrounds--intellectual historians, historians of idealism, philosophers of science, and historians of logic and analytic philosophy. These essays question the standard narratives of analytic philosophy's past and address concerns that are relevant to the contemporary philosophical study of language, mind, and cognition. The book covers a broad range of influential thinkers in 19th-century philosophy and analytic philosophy, including Kant, Bolzano, Hegel, Herbart, Lotze, the British Algebraists and Idealists, Moore, Russell, the Neo-Kantians, and Frege.

Introduction to Logic and Logical Discourse

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Publisher : Springer Nature
ISBN 13 : 9811626898
Total Pages : 283 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Introduction to Logic and Logical Discourse by : Satya Sundar Sethy

Download or read book Introduction to Logic and Logical Discourse written by Satya Sundar Sethy and published by Springer Nature. This book was released on 2021-06-12 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on logic and logical language. It examines different types of words, terms and propositions in detail. While discussing the nature of propositions, it illustrates the procedures used to determine the truth and falsity of a proposition, and the validity and invalidity of an argument. In addition, the book provides a clear exposition of the pure and mixed form of syllogism with suitable examples. The book encompasses sentential logic, predicate logic, symbolic logic, induction and set theory topics. The book is designed to serve all those involved in teaching and learning courses on logic. It offers a valuable resource for students and researchers in philosophy, mathematics and computer science disciplines. Given its scope, it is an essential read for everyone interested in logic, language, formulation of the hypotheses for the scientific enquiries and research studies, and judging valid and invalid arguments in the natural language discourse.

The Oxford Handbook of Schopenhauer

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Publisher : Oxford University Press, USA
ISBN 13 : 0190660058
Total Pages : 634 pages
Book Rating : 4.1/5 (96 download)

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Book Synopsis The Oxford Handbook of Schopenhauer by : Robert L. Wicks

Download or read book The Oxford Handbook of Schopenhauer written by Robert L. Wicks and published by Oxford University Press, USA. This book was released on 2020-04-09 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though known primarily as a herald of philosophical pessimism, the full range of Schopenhauer's contributions is displayed here in a collection of thirty-one essays on the forefront of Schopenhauer scholarship. The essays explore his central notions, including the will, empirical knowledge, and the sublime, and widens to the interplay of ethics and religion with Schopenhauer's philosophy. Authors confront difficult aspects of Schopenhauer's work and legacy - for example, the extent to which Schopenhauer adopted ideas from his predecessors compared to how much was original and visionary in his central claim that reality is a blind, senseless 'will,' the effectiveness of his philosophy in the field of scientific explanation and extrasensory phenomena, and the role of beauty and sublimity in his outlook.--