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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 Routledge. This book was released on 2013-12-19 with total page 479 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 The Turning-point in Wittgenstein's Philosophy of Mathematics by : Stuart Shanker
Download or read book The Turning-point in Wittgenstein's Philosophy of Mathematics written by Stuart Shanker and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 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 Wittgenstein’s Philosophy of Mathematics by : V.H. Klenk
Download or read book Wittgenstein’s Philosophy of Mathematics written by V.H. Klenk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wittgenstein's remarks on mathematics have not received the recogni tion they deserve; they have for the most part been either ignored, or dismissed as unworthy of the author of the Tractatus and the I nvestiga tions. This is unfortunate, I believe, and not at all fair, for these remarks are not only enjoyable reading, as even the harshest critics have con ceded, but also a rich and genuine source of insight into the nature of mathematics. It is perhaps the fact that they are more suggestive than systematic which has put so many people off; there is nothing here of formal derivation and very little attempt even at sustained and organized argumentation. The remarks are fragmentary and often obscure, if one does not recognize the point at which they are directed. Nevertheless, there is much here that is good, and even a fairly system atic and coherent account of mathematics. What I have tried to do in the following pages is to reconstruct the system behind the often rather disconnected commentary, and to show that when the theory emerges, most of the harsh criticism which has been directed against these re marks is seen to be without foundation. This is meant to be a sym pathetic account of Wittgenstein's views on mathematics, and I hope that it will at least contribute to a further reading and reassessment of his contributions to the philosophy of mathematics.
Book Synopsis Wittgenstein's Lectures on the Foundations of Mathematics, Cambridge, 1939 by : Ludwig Wittgenstein
Download or read book Wittgenstein's Lectures on the Foundations of Mathematics, Cambridge, 1939 written by Ludwig Wittgenstein and published by University of Chicago Press. This book was released on 2015-05-14 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: For several terms at Cambridge in 1939, Ludwig Wittgenstein lectured on the philosophical foundations of mathematics. A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.
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 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:
