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.

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 s Whewell s Court Lectures

Author: Yorick Smythies
Publisher: John Wiley & Sons
ISBN: 9781119166344
Release Date: 2017-03-31
Genre: Philosophy

Wittgenstein’s Whewell’s Court Lectures contains previously unpublished notes from lectures given by Ludwig Wittgenstein between 1938 and 1941. The volume offers new insight into the development of Wittgenstein’s thought and includes some of the finest examples of Wittgenstein’s lectures in regard to both content and reliability. Many notes in this text refer to lectures from which no other detailed notes survive, offering new contexts to Wittgenstein’s examples and metaphors, and providing a more thorough and systematic treatment of many topics Each set of notes is accompanied by an editorial introduction, a physical description and dating of the notes, and a summary of their relation to Wittgenstein’s Nachlass Offers new insight into the development of Wittgenstein’s ideas, in particular his ideas about certainty and concept-formation The lectures include more than 70 illustrations of blackboard drawings, which underline the importance of visual thought in Wittgenstein’s approach to philosophy Challenges the dating of some already published lecture notes, including the Lectures on Freedom of the Will and the Lectures on Religious Belief

Essays in the unknown Wittgenstein

Author: Morris Lazerowitz
Publisher:
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.

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.

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.

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.

A Madman Dreams of Turing Machines

Author: Janna Levin
Publisher: Anchor
ISBN: 9780307538031
Release Date: 2009-02-19
Genre: Fiction

Kurt Gödel’s Incompleteness Theorems sent shivers through Vienna’s intellectual circles and directly challenged Ludwig Wittgenstein’s dominant philosophy. Alan Turing’s mathematical genius helped him break the Nazi Enigma Code during WWII. Though they never met, their lives strangely mirrored one another—both were brilliant, and both met with tragic ends. Here, a mysterious narrator intertwines these parallel lives into a double helix of genius and anguish, wonderfully capturing not only two radiant, fragile minds but also the zeitgeist of the era. From the Trade Paperback edition.

The World and Language in Wittgenstein s Philosophy

Author: Gordon Hunnings
Publisher: SUNY Press
ISBN: 0887065856
Release Date: 1988-01-01
Genre: Philosophy

This book explores the interrelated concepts of representation and grammar in the philosophy of Ludwig Wittgenstein. Throughout his life, Wittgenstein was obsessed with the problem of the nature of language and the relationship between language and the world. His intellectual journey, one of the most compelling in twentieth century thought, is the detailed adventure told by Gordon Hunnings in The World and Language in Wittgenstein's Philosophy. This book surveys Wittgenstein's elucidation of how the world is represented in language, including the posthumously published material of his middle period. Early in his career, Wittgenstein's answer to the problem explored the representational connection between language and the world through the analogy of propositions as logical pictures of facts. Later, his mature answer elucidated the concept of the world as a construction of logical grammar. Hunnings shows how these shifting images of reality reflected in language also mirror the changes in Wittgenstein's philosophy.

Encyclopedia of Philosophy Shaftesbury Zubiri

Author: Donald M. Borchert
Publisher: Thomson Gale/MacMillan Reference USA
ISBN: 0028657896
Release Date: 2006
Genre: Philosophy

Containing material from hundreds of highly distinguished contributors representing the world's top universities and institutions, the second edition has a truly global perspective. It contains more than 2,100 entries -- including more than 450 new articles. Among the many topics covered are African, Islamic, Jewish, Russian, Chinese, and Buddhist philosophies; bioethics and biomedical ethics; art and aesthetics; epistemology; metaphysics; peace and war; social and political philosophy; the Holocaust; feminist thought; and much more. Additionally, the second edition also features 1,000 biographical entries on major figures in philosophical thought throughout history.