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 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 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 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 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 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 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 and the Limits of Language written by Hanne Appelqvist and published by Routledge. This book was released on 2019-11-25 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The limit of language is one of the most pervasive notions found in Wittgenstein’s work, both in his early Tractatus Logico-Philosophicus and his later writings. Moreover, the idea of a limit of language is intimately related to important scholarly debates on Wittgenstein’s philosophy, such as the debate between the so-called traditional and resolute interpretations, Wittgenstein’s stance on transcendental idealism, and the philosophical import of Wittgenstein’s latest work On Certainty. This collection includes thirteen original essays that provide a comprehensive overview of the various ways in which Wittgenstein appeals to the limit of language at different stages of his philosophical development. The essays connect the idea of a limit of language to the most important themes discussed by Wittgenstein—his conception of logic and grammar, the method of philosophy, the nature of the subject, and the foundations of knowledge—as well as his views on ethics, aesthetics, and religion. The essays also relate Wittgenstein’s thought to his contemporaries, including Carnap, Frege, Heidegger, Levinas, and Moore.
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 The Cambridge Companion to Wittgenstein written by Hans Sluga and published by Cambridge University Press. This book was released on 2018 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updated edition of this important book, charting the development of Wittgenstein's philosophy of the mind, language, logic, and mathematics.
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 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 The Later Wittgenstein on Language written by D. Whiting and published by Palgrave Macmillan. This book was released on 2009-12-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together distinguished Wittgenstein scholars and renowned philosophers of language in order to examine what Wittgenstein has to say about language and to assess its significance for contemporary philosophy.
Download or read book Tractatus Logico Philosophicus written by Ludwig Wittgenstein and published by Linkgua. This book was released on 2022-12-01 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perhaps this book will be understood only by someone who has himself already had the thoughts that are expressed in it—or at least similar thoughts.—So it is not a textbook.—Its purpose would be achieved if it gave pleasure to one person who read and understood it. The book deals with the problems of philosophy, and shows, I believe, that the reason why these problems are posed is that the logic of our language is mis- understood. The whole sense of the book might be summed up the following words: what can be said at all can be said clearly, and what we cannot talk about we must pass over in silence. Thus the aim of the book is to draw a limit to thought, or rather—not to thought, but to the expression of thoughts: for in order to be able to draw a limit to thought, we should have to find both sides of the limit thinkable (i.e. we should have to be able to think what cannot be thought). It will therefore only be in language that the limit can be drawn, and what lies on the other side of the limit will simply be nonsense. I do not wish to judge how far my efforts coincide with those of other philosophers. Indeed, what I have written here makes no claim to novelty in detail, and the reason why I give no sources is that it is a matter of indifference to me whether the thoughts that I have had have been anticipated by someone else. I will only mention that I am indebted to Frege's great works and to the writings of my friend Mr. Bertrand Russell for much of the stimulation of my thoughts. If this work has any value, it consists in two things: the first is that thoughts are expressed in it, and on this score the better the thoughts are expressed—the more the nail has been hit on the head—the greater will be its value.—Here I am conscious of having fallen a long way short of what is possible. Simply because my powers are too slight for the accomplishment of the task.—May others come and do it better. On the other hand the truth of the thoughts that are here communicated seems to me unassailable and definitive. I therefore believe myself to have found, on all essential points, the final solution of the problems. And if I am not mistaken in this belief, then the second thing in which the of this work consists is that it shows how little is achieved when these problems are solved. L.W. Vienna, 1918
Download or read book Language Form s of Life and Logic written by Christian Martin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-09-10 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the connection between thinking-and-speaking and our form(s) of life. All contributions engage with Wittgenstein’s approach to this topic. As a whole, the volume takes a stance against both biological and ethnological interpretations of the notion "form of life" and seeks to promote a broadly logico-linguistic understanding instead. The structure of this book is threefold. Part one focuses on lines of thinking that lead from Wittgenstein’s earlier thought to the concept of form of life in his later work. Contributions to part two examine the concrete philosophical function of this notion as well as the ways in which it differs from cognate concepts. Contributions to part three put Wittgenstein’s notion of form of life in perspective by relating it to phenomenology, ordinary language philosophy and problems in contemporary analytic philosophy.
Download or read book Remarks on the Foundation of Mathematics Bemerkungen Uber Die Grundlagen Der Mathematik written by Ludwig Wittgenstein and published by . This book was released on 2014-06-22 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2014 Reprint of 1956 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Published in English and German with each text presented on opposing pages. "Remarks on the Foundations of Mathematics" are Wittgenstein's notes on the philosophy of mathematics. It has been translated from German to English by G.E.M. Anscombe, edited by G.H. von Wright and Rush Rhees, and published first in 1956. The text has been produced from passages in various sources by selection and editing. The notes have been written during the years 1937-1944 and a few passages are incorporated in the "Philosophical Investigations" which were composed later. Wittgenstein's philosophy of mathematics is exposed chiefly by simple examples on which further skeptical comments are made. The text offers an extended analysis of the concept of mathematical proof and an exploration of Wittgenstein's contention that philosophical considerations introduce false problems in mathematics. Wittgenstein in the "Remarks" adopts an attitude of doubt in opposition to much orthodoxy in the philosophy of mathematics. Wittgenstein's influence has been felt in nearly every field of the humanities and the social sciences, though many of his views remain controversial. Wittgenstein's work remains, undeniably, now, that of one of those few philosophers who will be read by all future generations. It is by far the richest twentieth-century source of philosophical ideas, which it will take us more decades yet properly to apprehend and to absorb; despite the difficulty with which his work presents the reader, there is nothing that is likely to be more rewarding. The philosophy of mathematics was one of his earliest and most persistent preoccupations.... The present edition is a selection from seven distinct pieces of writing by Wittgenstein prior to his death in 1951.
