Wittgenstein s Lectures on the Foundations of Mathematics Cambridge 1939

Author: Ludwig Wittgenstein
Publisher: University of Chicago Press
ISBN: 9780226308609
Release Date: 2015-05-14
Genre: Philosophy

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.

Principia Mathematica

Author: Alfred North Whitehead
ISBN: STANFORD:36105039675058
Release Date: 1984-01
Genre: Logic, Symbolic and mathematical

Wittgenstein Finitism and the Foundations of Mathematics

Author: Mathieu Marion
Publisher: Oxford University Press
ISBN: 019823516X
Release Date: 1998
Genre: Mathematics

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 philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking from the 1920s through to the 1950s, in the context of themathematical 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. He shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy,and also that it can do much to illuminate current debates about the foundations of mathematics.

Standardization in Measurement

Author: Oliver Schlaudt
Publisher: Routledge
ISBN: 9781317316695
Release Date: 2015-10-06
Genre: Science

The application of standard measurement is a cornerstone of modern science. In this collection of essays, standardization of procedure, units of measurement and the epistemology of standardization are addressed by specialists from sociology, history and the philosophy of science.

Wittgenstein Lectures Cambridge 1930 1933

Author: David G. Stern
Publisher: Cambridge University Press
ISBN: 9781316432136
Release Date: 2016-11-07
Genre: Philosophy

This edition of G. E. Moore's notes taken at Wittgenstein's seminal Cambridge lectures in the early 1930s provides, for the first time, an almost verbatim record of those classes. The presentation of the notes is both accessible and faithful to their original manuscripts, and a comprehensive introduction and synoptic table of contents provide the reader with essential contextual information and summaries of the topics in each lecture. The lectures form an excellent introduction to Wittgenstein's middle-period thought, covering a broad range of philosophical topics, ranging from core questions in the philosophy of language, mind, logic, and mathematics, to illuminating discussions of subjects on which Wittgenstein says very little elsewhere, including ethics, religion, aesthetics, psychoanalysis, and anthropology. The volume also includes a 1932 essay by Moore critiquing Wittgenstein's conception of grammar, together with Wittgenstein's response. A companion website offers access to images of the entire set of source manuscripts.

Satz und Sinn

Author: Volker A. Munz
Publisher: Rodopi
ISBN: 9042017163
Release Date: 2005
Genre: Philosophy

Der vorliegende Band liefert eine umfassende Analyse zum Verhältnis von Sprache und Realität in der Philosophie Ludwig Wittgensteins. Die Untersuchungen konzentrieren sich dabei auf die im Tractatus Logico-philosophicus entwickelte Idee einer strukturellen Identität zwischen Satz, Gedanke und Sachverhalt, auf die Forderung nach einer phänomenologischen Sprache als Ausdruck unserer unmittelbaren Erfahrungen sowie auf die zentralen Begriffe der grammatischen Regel und ihrer sinnvollen Anwendung. Das Buch versteht sich vor allem als ein Beitrag zur Frage der Beziehung zwischen einem Satz und seinem Sinn, wobei es versucht, besonders die Probleme und Motive zu rekonstruieren, welche im Zusammenhang zu Wittgensteins gewandeltem Sprachverständnis stehen. In diesem Band werden erstmalig auch Auszüge bisher unveröffentlichter Mitschriften von Wittgenstein-Vorlesungen publiziert. Die Aufzeichnungen stammen von Yorick Smythies, einem engen Freund und Schüler Wittgensteins und sind größtenteils aus den Jahren 1937 bis 1939. Darüber hinaus enthält der Text ebenfalls unveröffentlichtes Material aus dem philosophischen Nachlass von Rush Rhees.

Gewissheit als Norm

Author: Michael Kober
Publisher: Walter de Gruyter
ISBN: 3110140268
Release Date: 1993
Genre: Certainty

In der 1970 gegründeten Reihe erscheinen Arbeiten, die philosophiehistorische Studien mit einem systematischen Ansatz oder systematische Studien mit philosophiehistorischen Rekonstruktionen verbinden. Neben deutschsprachigen werden auch englischsprachige Monographien veröffentlicht. Gründungsherausgeber sind: Erhard Scheibe (Herausgeber bis 1991), Günther Patzig (bis 1999) und Wolfgang Wieland (bis 2003). Von 1990 bis 2007 wurde die Reihe von Jürgen Mittelstraß mitherausgegeben.

The Fate of Wonder

Author: Kevin M. Cahill
Publisher: Columbia University Press
ISBN: 9780231528115
Release Date: 2011-10-18
Genre: Philosophy

Kevin M. Cahill reclaims one of Ludwig Wittgenstein's most passionately pursued endeavors: to reawaken a sense of wonder around human life and language and its mysterious place in the world. Following the philosopher's spiritual and cultural criticism and tying it more tightly to the overall evolution of his thought, Cahill frames an original interpretation of Wittgenstein's engagement with Western metaphysics and modernity, better contextualizing the force of his work. Cahill synthesizes several approaches to Wittgenstein's life and thought. He stresses the nontheoretical aspirations of the philosopher's early and later writings, combining key elements from the so-called resolute readings of the Tractatus with the "therapeutic" readings of Philosophical Investigations. Cahill shows how continuity in Wittgenstein's cultural and spiritual concerns informed if not guided his work between these texts, and in his reading of the Tractatus, Cahill identifies surprising affinities with Martin Heidegger's Being and Time—a text rarely associated with Wittgenstein's early formulations. In his effort to recapture wonder, Wittgenstein both avoided and undermined traditional philosophy's reliance on theory. As Cahill relates the steps of this bold endeavor, he forms his own innovative, analytical methods, joining historicist and contextualist approaches to text-based, immanent readings. The result is an original, sustained examination of Wittgenstein's thought.

Wittgenstein Comparisons and Context

Author: P. M. S. Hacker
Publisher: Oxford University Press
ISBN: 9780199674824
Release Date: 2013-11
Genre: History

Wittgenstein: Comparisons and Context is a collection of P. M. S. Hacker's papers on Wittgenstein and Wittgensteinian themes written over the last decade. It presents Hacker's own (Wittgensteinian) conception of philosophy, and defends it against criticisms. Subjects explored include Wittgenstein and Kant on transcendental arguments; Quine's epistemological naturalism; and Wittgenstein's philosophy of psychology, anthropological and ethnologicalapproaches, and philosophy of language. Hacker's final essay offers a synoptic view of analytic philosophy and its history, in which Wittgenstein played so notable a part.

Social Inquiry After Wittgenstein and Kuhn

Author: John G. Gunnell
Publisher: Columbia University Press
ISBN: 9780231538343
Release Date: 2014-11-04
Genre: Philosophy

A distinctive feature of Ludwig Wittgenstein's work after 1930 was his turn to a conception of philosophy as a form of social inquiry, John G. Gunnell argues, and Thomas Kuhn's approach to the philosophy of science exemplified this conception. In this book, Gunnell shows how these philosophers address foundational issues in the social and human sciences, particularly the vision of social inquiry as an interpretive endeavor and the distinctive cognitive and practical relationship between social inquiry and its subject matter. Gunnell speaks directly to philosophers and practitioners of the social and human sciences. He tackles the demarcation between natural and social science; the nature of social phenomena; the concept and method of interpretation; the relationship between language and thought; the problem of knowledge of other minds; and the character of descriptive and normative judgments about practices that are the object of inquiry. Though Wittgenstein and Kuhn are often criticized as initiating a modern descent into relativism, this book shows that the true effect of their work was to undermine the basic assumptions of contemporary social and human science practice. It also problematized the authority of philosophy and other forms of social inquiry to specify the criteria for judging such matters as truth and justice. When Wittgenstein stated that "philosophy leaves everything as it is," he did not mean that philosophy would be left as it was or that philosophy would have no impact on what it studied, but rather that the activity of inquiry did not, simply by virtue of its performance, transform the object of inquiry.

Ludwig Wittgenstein

Author: Edward Kanterian
Publisher: Reaktion Books
ISBN: 9781861896094
Release Date: 2007-05-30
Genre: Philosophy

Ludwig Wittgenstein is generally considered as the greatest philosopher since Immanuel Kant, and his personal life, work, and his historical moment intertwined in a fascinating, complex web. Noted scholar Edward Kanterian explores these intersections in Ludwig Wittgenstein, the newest title in the acclaimed Critical Lives series. Wittgenstein’s works—from Tractatus Logico-Philosophicus to the posthumously published Philosophical Investigations—are notoriously dense, and Kanterian carefully distills them here, proposing thought-provoking new interpretations. Yet the philosopher’s passions were not solely confined to theoretical musings, and the book explores Wittgenstein’s immersion in art and music and his social position as a member of the sophisticated Viennese upper class at the turn of the century. His personal and professional relationships also offer insights into his thoughts, as he was friends with the greatest thinkers of the twentieth century, including John Maynard Keynes, George Edward Moore, Bertrand Russell, and Gilbert Royle. The philosopher was also deeply tormented by ethical and religious questions, and his internal turmoil, Kanterian argues, gives us a deeper understanding of the important conflicts and tensions of his age. Ultimately, the author contends, Wittgenstein’s life reveals insights into the ethical quandaries of our own time. A readable and concise account, Ludwig Wittgenstein is an informative, accessible introduction to the one of the greatest thinkers of our age.

Essays in the unknown Wittgenstein

Author: Morris Lazerowitz
ISBN: UOM:39015010548868
Release Date: 1984
Genre: Philosophy

Morris Lazerowitz and Alice Ambrose, in this important book, attempt to uncover and make clear the insights embedded in Wittgenstein's later work that, so far, have not received the critical attention they deserve. These insights, once understood, can have great explanatory power for philosophy and make it possible to look at conventional philosophy with a new understanding. The sixteen original essays presented here, twelve of which have never been published before, discuss Wittgenstein's work after the Notebooks, 1914-1916. The authors bring to light the thoughts behind Wittgenstein's often cryptic remarks on the "linguistic unmasking of philosophical utterances". The topics discussed include necessity and philosophy, linguistic solipsism, Bouwsma's Paradox, the fly bottle, empiricism, being and existence, mathematical proof, the philosopher and day dreaming, among others.