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Wittgenstein S Lectures On The Foundations Of Mathematics Cambridge 1939

Author : Ludwig Wittgenstein
ISBN : 9780226308609
Genre : Philosophy
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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.
Category: Philosophy

Principia Mathematica

Author : Alfred North Whitehead
ISBN : STANFORD:36105039675058
Genre : Logic, Symbolic and mathematical
File Size : 79.35 MB
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Category: Logic, Symbolic and mathematical

Wittgenstein Finitism And The Foundations Of Mathematics

Author : Mathieu Marion
ISBN : 019823516X
Genre : Mathematics
File Size : 65.66 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.
Category: Mathematics

Standardization In Measurement

Author : Oliver Schlaudt
ISBN : 9781317316695
Genre : Science
File Size : 74.67 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.
Category: Science

Wittgenstein Lectures Cambridge 1930 1933

Author : David G. Stern
ISBN : 9781316432136
Genre : Philosophy
File Size : 57.53 MB
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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.
Category: Philosophy

Satz Und Sinn

Author : Volker A. Munz
ISBN : 9042017163
Genre : Philosophy
File Size : 89.23 MB
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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.
Category: Philosophy

Gewissheit Als Norm

Author : Michael Kober
ISBN : 3110140268
Genre : Certainty
File Size : 68.43 MB
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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.
Category: Certainty

The Fate Of Wonder

Author : Kevin M. Cahill
ISBN : 9780231528115
Genre : Philosophy
File Size : 38.92 MB
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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.
Category: Philosophy