Download or read book Later Wittgenstein on Language and Mathematics written by Enakshi Ray Mitra and published by . This book was released on 2017 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wittgenstein on the Foundations of Mathematics written by Crispin Wright and published by Bloomsbury Academic. This book was released on 1980 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophical Grammar written by Ludwig Wittgenstein and published by John Wiley & Sons. This book was released on 1991-01-08 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wittgenstein wrote the Philosophical Grammar during the years 1931 to 1934 - the period just before he began to dictate the Blue Book. Although it is close to the Investigations in some points, and to the Phiosophische Bemerkungen at others, the Philosophical Grammar is an independent work which covers new ground. It is Wittgenstein's fullest treatment of logic and mathematics in their connection with his later understanding of 'proposition', 'sign', and 'system'. He also discusses inference and generality - critisizing views of Frege and Russell as well as earlier views of his own - and the treatment of mathematical proof in this book, especially of inductive or recursive proofs, is deeper and more extensive than previously.
Download or read book Bemerkungen ber Die Grundlagen Der Mathematik written by Ludwig Wittgenstein and published by . This book was released on 1972 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wittgenstein on Mathematics written by Severin Schroeder and published by Routledge. This book was released on 2020-12-30 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a detailed account and discussion of Ludwig Wittgenstein’s philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege’s logicist attempt to provide arithmetic with a foundation and Wittgenstein’s criticisms of it, followed by sketches of Wittgenstein’s early views of mathematics, in the Tractatus and in the early 1930s. Then (in Part II), Wittgenstein’s mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the calculus view and the grammar view. On the one hand, mathematics is seen as a human activity — calculation — rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein’s provocative views on Hilbert’s Formalism and the quest for consistency proofs and on Gödel’s incompleteness theorems.
Download or read book Wittgenstein A Very Short Introduction written by A. C. Grayling and published by OUP Oxford. This book was released on 2001-02-22 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ludwig Wittgenstein (1889-1951) was an extraordinarily original philospher, whose influence on twentieth-century thinking goes well beyond philosophy itself. In this book, which aims to make Wittgenstein's thought accessible to the general non-specialist reader, A. C. Grayling explains the nature and impact of Wittgenstein's views. He describes both his early and later philosophy, the differences and connections between them, and gives a fresh assessment of Wittgenstein's continuing influence on contemporary thought. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Download or read book Wittgenstein s Philosophy of Mathematics written by Juliet Floyd and published by Cambridge University Press. This book was released on 2021-08-12 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. Sentences exhibit differing 'aspects', or dimensions of meaning, projecting mathematical 'realities'. Mathematics is an activity of constructing standpoints on equalities and differences of these. Wittgenstein's Later Philosophy of Mathematics (1934–1951) grew from his Early (1912–1921) and Middle (1929–33) philosophies, a dialectical path reconstructed here partly as a response to the limitative results of Gödel and Turing.
Download or read book Wittgenstein on Mathematics written by Severin Schroeder and published by Routledge. This book was released on 2020-12-29 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a detailed account and discussion of Ludwig Wittgenstein’s philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege’s logicist attempt to provide arithmetic with a foundation and Wittgenstein’s criticisms of it, followed by sketches of Wittgenstein’s early views of mathematics, in the Tractatus and in the early 1930s. Then (in Part II), Wittgenstein’s mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the calculus view and the grammar view. On the one hand, mathematics is seen as a human activity — calculation — rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein’s provocative views on Hilbert’s Formalism and the quest for consistency proofs and on Gödel’s incompleteness theorems.
Download or read book Philosophical Remarks written by Ludwig Wittgenstein and published by University of Chicago Press. This book was released on 1980-10-15 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: When in May 1930, the Council of Trinity College, Cambridge, had to decide whether to renew Wittgenstein's research grant, it turned to Bertrand Russell for an assessment of the work Wittgenstein had been doing over the past year. His verdict: "The theories contained in this new work . . . are novel, very original and indubitably important. Whether they are true, I do not know. As a logician who likes simplicity, I should like to think that they are not, but from what I have read of them I am quite sure that he ought to have an opportunity to work them out, since, when completed, they may easily prove to constitute a whole new philosophy." "[Philosophical Remarks] contains the seeds of Wittgenstein's later philosophy of mind and of mathematics. Principally, he here discusses the role of indispensable in language, criticizing Russell's The Analysis of Mind. He modifies the Tractatus's picture theory of meaning by stressing that the connection between the proposition and reality is not found in the picture itself. He analyzes generality in and out of mathematics, and the notions of proof and experiment. He formulates a pain/private-language argument and discusses both behaviorism and the verifiability principle. The work is difficult but important, and it belongs in every philosophy collection."—Robert Hoffman, Philosophy "Any serious student of Wittgenstein's work will want to study his Philosophical Remarks as a transitional book between his two great masterpieces. The Remarks is thus indispensible for anyone who seeks a complete understanding of Wittgenstein's philosophy."—Leonard Linsky, American Philosophical Association
Download or read book Wittgenstein s Later Philosophy written by Oswald Hanfling and published by SUNY Press. This book was released on 1989-01-01 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Philosophy," wrote Wittgenstein, "simply puts everything before us, and neither explains nor deduces anything." Hanfling takes seriously Wittgenstein's declaration of what he was doing, emphasizing Wittgenstein's rejection of theory and explanation in favor of 'description alone.' He demonstrates the importance of Wittgenstein's philosophy to long-standing problems about language, knowledge, the mind, and philosophy itself. The book exposes common misunderstandings about Wittgenstein, and examines in detail the celebrated 'private language' argument.
Download or read book Wittgenstein Finitism and the Foundations of Mathematics written by Mathieu Marion and published by OUP Oxford. This book was released on 1998-12-17 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.
Download or read book Ludwig Wittgenstein The later Wittgenstein from Philosophical investigations to On certainty written by Stuart Shanker and published by Psychology Press. This book was released on 2002 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wittgenstein scholarship has continued to grow at a pace few could have anticipated - a testament both to the fertility of his thought and to the thriving state of contemporary philosophy. In response to this ever-growing interest in the field, we are delighted to announce the publication of a second series of critical assessments on Wittgenstein, emphasising both the breadth and depth of contemporary Wittgenstein research.As well as papers on the nature and method of Wittgenstein's philosophy, this second collection also relates to a broader range of topics, including psychology, politics, art, music and culture.
Download or read book Tractatus Logico philosophicus written by Ludwig Wittgenstein and published by Binker North. This book was released on 1922 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Tractatus Logico-Philosophicus is the only book-length philosophical work by the Austrian philosopher Wittgenstein that was published during his lifetime. The project had a broad goal: to identify the relationship between language and reality.
Download or read book Wittgenstein on Rules and Private Language written by Saul A. Kripke and published by Harvard University Press. This book was released on 1982 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of Contents " Preface " Introductory " The Wittgensteinian Paradox " The Solution and the 'Private Language' Argument " Postscript Wittgenstein and Other Minds " Index.
Download or read book The Later Wittgenstein and Moral Philosophy written by Benjamin De Mesel and published by Springer. This book was released on 2018-09-07 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows that Ludwig Wittgenstein’s later philosophical methods can be fruitfully applied to several problems in contemporary moral philosophy. The author considers Wittgenstein’s ethical views and addresses such topics as meta-ethics, objectivity in ethics and moral perception. Readers will gain an insight into how Wittgenstein thought about philosophical problems and a new way of looking at moral questions. The book consists of three parts. In the first part, Wittgenstein’s later philosophical methods are discussed, including his comparison of philosophical methods to therapies. The book then goes on to explore how these methods give insight into Wittgenstein’s ethical views. Readers will see how these are better understood when read in the light of his later philosophical thought. In the third part, Wittgenstein’s later methods are applied to problems in contemporary moral philosophy, including a look at questions for moral advice. The author reviews and criticizes some of the secondary literature on Wittgenstein’s later philosophical methods and indicates how the topic of the book can be developed in future research. There is something of value for readers of all levels in this insightful and well written volume. It will particularly appeal to scholars and students of Wittgenstein, of philosophy, and of ethics.
Download or read book The Foundations of Wittgenstein s Late Philosophy written by Ernst Konrad Specht and published by Manchester University Press. This book was released on 1969 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wittgenstein and the Turning Point in the Philosophy of Mathematics written by Stuart Shanker and published by SUNY Press. This book was released on 1987-01-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shanker exposes the confusions underlying the currently prevailing interpretations of Wittgenstein. He shows how such approaches and their underlying critical frameworks are incapable of coming to terms with Wittgenstein's arguments in the philosophy of mathematics. This book explains not only Wittgenstein's approach, which was justly heralded as causing a turning point in the philosophy of mathematics, but also the philosophy of mathematics in general.
