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Wittgenstein And The Turning Point In The Philosophy Of Mathematics
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Book Synopsis Wittgenstein and the Turning Point in the Philosophy of Mathematics by : S.G. Shanker
Download or read book Wittgenstein and the Turning Point in the Philosophy of Mathematics written by S.G. Shanker and published by Routledge. This book was released on 2013-12-19 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.
Book Synopsis Wittgenstein and the Turning-point in the Philosophy of Mathematics by : S. G. Shanker
Download or read book Wittgenstein and the Turning-point in the Philosophy of Mathematics written by S. G. Shanker and published by . This book was released on 1987 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Wittgenstein and the Turning Point in the Philosophy of Mathematics by : Stuart Shanker
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 380 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.
Book Synopsis Wittgenstein's Philosophy of Mathematics by : Juliet Floyd
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.
Book Synopsis Wittgenstein's Philosophy of Mathematics by : Pasquale Frascolla
Download or read book Wittgenstein's Philosophy of Mathematics written by Pasquale Frascolla and published by Routledge. This book was released on 2006-12-05 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.
Book Synopsis The Oxford Handbook of Philosophy of Mathematics and Logic by : Stewart Shapiro
Download or read book The Oxford Handbook of Philosophy of Mathematics and Logic written by Stewart Shapiro and published by OUP USA. This book was released on 2005-02-10 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the state of the art in the philosophy of maths and logic, giving the reader an overview of the major problems, positions, and battle lines. The chapters in this book contain both exposition and criticism as well as substantial development of their own positions. It also includes a bibliography.
Book Synopsis The Cambridge Companion to Wittgenstein by : Hans D. Sluga
Download or read book The Cambridge Companion to Wittgenstein written by Hans D. Sluga and published by Cambridge University Press. This book was released on 1996-10-28 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essays in this volume address central themes in Wittgenstein's writings on the philosophy of mind, language, logic, and mathematics.
Book Synopsis Wittgenstein on Mathematics by : Severin Schroeder
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.
Book Synopsis Wittgenstein on Thought, Language and Philosophy by : Christoffer Gefwert
Download or read book Wittgenstein on Thought, Language and Philosophy written by Christoffer Gefwert and published by Routledge. This book was released on 2017-11-22 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title was first published in 2000: What was Wittgenstein's relation to "theory of meaning" in his post-1937 writings and what was his characterization of "philosophy" ? How does "philosophy" in Wittgenstein's later writings differ from what is usually accepted in modern academic 'analytic' philosophy? This book discusses problems encountered in looking at Wittgenstein's texts after-1937, focusing particularly on whether the problem of philosophy amounts to a systematic or a theoretical activity. Arguing that philosophy can be characterized as a form of conceptual investigation, Gefwert aims to demonstrate that a theoretical view does not correspond to Wittgenstein's conception of philosophy. For example, philosophy is not transcendental as he thought it was before 1929. Neither is philosophical language universal as Wittgenstein 1929-1936 thought it was. Proposing that a philosophical conceptual investigation is analogous to a psychotherapeutical session of Freud, with the common aim to dissolve the conceptual problems in language that haunt us in our everyday life, Gefwert's examination of the post-1937 writings of Wittgenstein concludes that "philosophical investigation" is a very different activity than that assumed by the Logical Positives and others adhering to a theoretical view.
Book Synopsis Ludwig Wittgenstein: The later Wittgenstein : from Philosophical investigations to On certainty by : Stuart Shanker
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.
Book Synopsis (Over)Interpreting Wittgenstein by : A. Biletzki
Download or read book (Over)Interpreting Wittgenstein written by A. Biletzki and published by Springer Science & Business Media. This book was released on 2003-07-31 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book tells the story of Wittgenstein interpretation during the past eighty years. It provides different interpretations, chronologies, developments, and controversies. It aims to discover the motives and motivations behind the philosophical community's project of interpreting Wittgenstein. It will prove valuable to philosophers, scholars, interpreters, students, and specialists, in both analytic and continental philosophy.
Book Synopsis Wittgenstein, Finitism, and the Foundations of Mathematics by : Mathieu Marion
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.
Book Synopsis Mathematical Knowledge, Objects and Applications by : Carl Posy
Download or read book Mathematical Knowledge, Objects and Applications written by Carl Posy and published by Springer Nature. This book was released on 2023-05-05 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a survey of a number of the major issues in the philosophy of mathematics, such as ontological questions regarding the nature of mathematical objects, epistemic questions about the acquisition of mathematical knowledge, and the intriguing riddle of the applicability of mathematics to the physical world. Some of these issues go back to the nascent years of mathematics itself, others are just beginning to draw the attention of scholars. In addressing these questions, some of the papers in this volume wrestle with them directly, while others use the writings of philosophers such as Hume and Wittgenstein to approach their problems by way of interpretation and critique. The contributors include prominent philosophers of science and mathematics as well as promising younger scholars. The volume seeks to share the concerns of philosophers of mathematics with a wider audience and will be of interest to historians, mathematicians and philosophers alike.
Book Synopsis Bemerkungen Über Die Grundlagen Der Mathematik by : Ludwig Wittgenstein
Download or read book Bemerkungen Über 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:
Book Synopsis Gödel's Theorem in Focus by : Stuart Shanker
Download or read book Gödel's Theorem in Focus written by Stuart Shanker and published by Psychology Press. This book was released on 1989 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A layman's guide to the mechanics of Gödel's proof together with a lucid discussion of the issues which it raises. Includes an essay discussing the significance of Gödel's work in the light of Wittgenstein's criticisms.
Book Synopsis Studies in the Philosophy of Wittgenstein by : Peter Winch
Download or read book Studies in the Philosophy of Wittgenstein written by Peter Winch and published by Taylor & Francis. This book was released on 1969 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.
Book Synopsis Wittgenstein on Philosophy and Mathematics by : Christoffer Gefwert
Download or read book Wittgenstein on Philosophy and Mathematics written by Christoffer Gefwert and published by . This book was released on 1994 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: