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Wittgenstein On Philosophy And Mathematics
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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 on the Foundations of Mathematics by : Crispin Wright
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:
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 2020-12-30 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.
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 : 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 318 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 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 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 Ludwig Wittgenstein: Dictating Philosophy by : Arthur Gibson
Download or read book Ludwig Wittgenstein: Dictating Philosophy written by Arthur Gibson and published by Springer Nature. This book was released on 2020-12-13 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume we witness Wittgenstein in the act of composing and experimenting with his new visions in philosophy. The book includes key explanations of the origin and background of these previously unknown manuscripts. It investigates how Wittgenstein’s philosophical thought-processes are revealed in his dictation to, as well as his editing and revision with Francis Skinner, in the latter’s role of amanuensis. The book displays a considerable wealth and variety of Wittgenstein’s fundamental experiments in philosophy across a wide array of subjects that include the mind, pure and applied mathematics, metaphysics, the identities of ordinary and creative language, as well as intractable problems in logic and life. He also periodically engages with the work of Newton, Fermat, Russell and others. The book shows Wittgenstein strongly battling against the limits of understanding and the bewitchment of institutional and linguistic customs. The reader is drawn in by Wittgenstein as he urges us to join him in his struggles to equip us with skills, so that we can embark on devising new pathways beyond confusion. This collection of manuscripts was posted off by Wittgenstein to be considered for publication during World War 2, in October 1941. None of it was published and it remained hidden for over two generations. Upon its rediscovery, Professor Gibson was invited to research, prepare and edit the Archive to appear as this book, encouraged by Trinity College Cambridge and The Mathematical Association. Niamh O’Mahony joined him in co-editing and bringing this book to publication.
Book Synopsis Why Is There Philosophy of Mathematics At All? by : Ian Hacking
Download or read book Why Is There Philosophy of Mathematics At All? written by Ian Hacking and published by Cambridge University Press. This book was released on 2014-01-30 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.
Book Synopsis The Textual Genesis of Wittgenstein’s Philosophical Investigations by : Nuno Venturinha
Download or read book The Textual Genesis of Wittgenstein’s Philosophical Investigations written by Nuno Venturinha and published by Routledge. This book was released on 2013-09-11 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sixty years after its first edition, there is an increasing consensus among scholars that the work posthumously published as Philosophical Investigations represents something that is far from a complete picture of Wittgenstein’s second book project. G.H. von Wright’s seminal research on the Nachlass was an important contribution in this direction, showing that the Wittgenstein papers can reveal much more than the source of specific remarks. This book specifically explores Wittgenstein’s Philosophical Investigations from the different angles of its originary conceptions, including the mathematical texts, shedding new light on fundamental issues in twentieth century and contemporary philosophy. Leading authorities in the field focus on newly published or hitherto unpublished sources for the interpretation of Wittgenstein’s later work and a Wittgenstein typescript, translated for the first time into English, is included as an appendix.
Book Synopsis Wittgenstein and the Philosophy of Mind by : Jonathan Ellis
Download or read book Wittgenstein and the Philosophy of Mind written by Jonathan Ellis and published by Oxford University Press. This book was released on 2012-10-18 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a conference held in June 2007 at the University of California Santa Cruz.
Book Synopsis Introduction to Mathematical Philosophy by : Bertrand Russell
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by . This book was released on 1920 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Wittgenstein on Rules and Private Language by : Saul A. Kripke
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.
Book Synopsis The Oxford Handbook of Wittgenstein by : Oskari Kuusela
Download or read book The Oxford Handbook of Wittgenstein written by Oskari Kuusela and published by Oxford University Press. This book was released on 2011-10-27 with total page 839 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the middle of the 20th century Ludwig Wittgenstein has been an exceptionally influential and controversial figure wherever philosophy is studied. This is a comprehensive volume on Wittgenstein where 35 scholars explore the whole range of his thought, offering critical engagement and original interpretation.
Book Synopsis Social Constructivism as a Philosophy of Mathematics by : Paul Ernest
Download or read book Social Constructivism as a Philosophy of Mathematics written by Paul Ernest and published by SUNY Press. This book was released on 1998-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.
Book Synopsis Philosophy in an Age of Science by : Hilary Putnam
Download or read book Philosophy in an Age of Science written by Hilary Putnam and published by Harvard University Press. This book was released on 2012-04-17 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilary Putnam's unceasing self-criticism has led to the frequent changes of mind he is famous for, but his thinking is also marked by considerable continuity. A simultaneous interest in science and ethicsÑunusual in the current climate of contentionÑhas long characterized his thought. In Philosophy in an Age of Science, Putnam collects his papers for publicationÑhis first volume in almost two decades. Mario De Caro and David Macarthur's introduction identifies central themes to help the reader negotiate between Putnam past and Putnam present: his critique of logical positivism; his enduring aspiration to be realist about rational normativity; his anti-essentialism about a range of central philosophical notions; his reconciliation of the scientific worldview and the humanistic tradition; and his movement from reductive scientific naturalism to liberal naturalism. Putnam returns here to some of his first enthusiasms in philosophy, such as logic, mathematics, and quantum mechanics. The reader is given a glimpse, too, of ideas currently in development on the subject of perception. Putnam's work, contributing to a broad range of philosophical inquiry, has been said to represent a Òhistory of recent philosophy in outline.Ó Here it also delineates a possible future.
Book Synopsis Essays on the philosophy of Wittgenstein by : Volker Munz
Download or read book Essays on the philosophy of Wittgenstein written by Volker Munz and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first of two volumes brings together invited papers of the 32nd International Wittgenstein Symposium (Kirchberg/W. (Austria), 2009). The relation between language and the world was undoubtedly one if not the central issue in Wittgenstein’s whole philosophical oeuvre. His one hundred and twentieth birthday provided an occasion for foregrounding this aspect of his work. A special workshop was dedicated to new aspects of Wittgenstein’s Nachlass. In this volume Frank Cioffi, Peter Hacker, Ian Hacking, Roy Harris, Lars Hertzberg, Jaakko Hintikka, Marie McGinn, Danièle Moyal-Sharrock, Hans Sluga among others provide substantial contributions on various aspects of Wittgenstein’s writings such as the philosophy of mathematics, the problem of rule following or the relation between meaning and use.
