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Author: Jens Lemanski
Publisher: Springer Nature
ISBN: 3030330907
Category : Mathematics
Languages : en
Pages : 318
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Book Description
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.
Author: Jens Lemanski
Publisher: Springer Nature
ISBN: 3030330907
Category : Mathematics
Languages : en
Pages : 318
Get Book Here
Book Description
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.
Author: Jens Lemanski
Publisher: Birkhäuser
ISBN: 9783030330897
Category : Mathematics
Languages : en
Pages : 326
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Book Description
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.
Author: David Bather Woods
Publisher: Taylor & Francis
ISBN: 1000987450
Category : Philosophy
Languages : en
Pages : 592
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Book Description
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.
Author: Valeria Giardino
Publisher: Springer Nature
ISBN: 3031151461
Category : Computers
Languages : en
Pages : 386
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Book Description
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.
Author: Richard Tieszen
Publisher: OUP Oxford
ISBN: 0191619310
Category : Philosophy
Languages : en
Pages : 258
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Book Description
Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Gödel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Gödel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Gödel's texts on foundations with materials from Gödel's Nachlass and from Hao Wang's discussions with Gödel. As well as providing discussions of Gödel's views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs, Tieszen furnishes a detailed analysis of Gödel's critique of Hilbert and Carnap, and of his subsequent turn to Husserl's transcendental philosophy in 1959. On this basis, a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is developed and defended. Tieszen shows how constituted platonism addresses the problem of the objectivity of mathematics and of the knowledge of abstract mathematical objects. Finally, he considers the implications of this position for the claim that human minds ('monads') are machines, and discusses the issues of pragmatic holism and rationalism.
Author: Satya Sundar Sethy
Publisher: Springer Nature
ISBN: 9811626898
Category : Philosophy
Languages : en
Pages : 283
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Book Description
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.
Author: Sandra Lapointe
Publisher: Routledge Studies in Nineteenth-Century Philosophy
ISBN: 9780815396321
Category : PHILOSOPHY
Languages : en
Pages : 256
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Book Description
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.
Author: Amrita Basu
Publisher: Springer Nature
ISBN: 3030860620
Category : Computers
Languages : en
Pages : 570
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Book Description
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.
Author: Bart Vandenabeele
Publisher: John Wiley & Sons
ISBN: 1119144809
Category : Philosophy
Languages : en
Pages : 438
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Book Description
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
Author: Jens Lemanski
Publisher: Springer Nature
ISBN: 3031712919
Category : Artificial intelligence
Languages : en
Pages : 500
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Book Description
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.
