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Wittgenstein S Lectures On The Foundations Of Mathematics Cambridge 1939

Author: Ludwig Wittgenstein
Publisher: University of Chicago Press
ISBN: 022630860X
Size: 64.57 MB
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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: 9780198235163
Size: 37.95 MB
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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.

Wittgenstein Lectures Cambridge 1930 1933

Author: David G. Stern
Publisher: Cambridge University Press
ISBN: 1316432130
Size: 11.27 MB
Format: PDF
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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.

Standardization In Measurement

Author: Oliver Schlaudt
Publisher: Routledge
ISBN: 131731669X
Size: 76.87 MB
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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.

Logicomix

Author:
Publisher:
ISBN: 9789608399679
Size: 10.39 MB
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An innovative, dramatic graphic novel about the treacherous pursuit of the foundations of mathematics.

The Fate Of Wonder

Author: Kevin Cahill
Publisher: Columbia University Press
ISBN: 0231528116
Size: 27.56 MB
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Kevin Cahill reclaims one of Ludwig Wittgenstein's most passionately pursued endeavors: to reawaken wonder for the mysterious place of human life and language 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 intentions and force of his work. Throughout the course of his study, 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. He shows how continuity in Wittgenstein's cultural and spiritual concerns informed if not guided the development of his work between the writing of these texts, and in his reading of the Tractatus, Cahill reveals surprising affinities with Martin Heidegger's Being and Time, a text not often associated with Wittgenstein's early formulations. In his recapturing of wonder, Wittgenstein both avoided and undermined traditional philosophy's reliance on theory. As he relays this bold endeavor, Cahill establishes his own innovative analytical methods, joining historicist and contextualist approaches with text-based, immanent readings, launching a sustained examination never attempted before with Wittgenstein's work.

Wittgenstein Comparisons And Context

Author: P. M. S. Hacker
Publisher: Oxford University Press
ISBN: 0199674825
Size: 61.27 MB
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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.

Ludwig Wittgenstein

Author: Edward Kanterian
Publisher: Reaktion Books
ISBN: 1861896093
Size: 63.26 MB
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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.