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 s Lectures on the Foundations of Mathematics Cambridge 1939

Author: Ludwig Wittgenstein
Publisher: University of Chicago Press
ISBN: 0226904261
Release Date: 1989-10-15
Genre: Mathematics

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.

Lecture on Ethics

Author: Ludwig Wittgenstein
Publisher: John Wiley & Sons
ISBN: 9781118887134
Release Date: 2014-06-11
Genre: Philosophy

The most complete edition yet published of Wittgenstein’s 1929 lecture includes a never-before published first draft and makes fresh claims for its significance in Wittgenstein’s oeuvre. The first available print publication of all known drafts of Wittgenstein’s Lecture on Ethics Includes a previously unrecognized first draft of the lecture and new transcriptions of all drafts Transcriptions preserve the philosopher’s emendations thus showing the development of the ideas in the lecture Proposes a different draft as the version read by Wittgenstein in his 1929 lecture Includes introductory essays on the origins of the material and on its meaning, content, and importance

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.

Big Typescript

Author: Ludwig Wittgenstein
Publisher: John Wiley & Sons
ISBN: 9781118394250
Release Date: 2012-10-01
Genre: Philosophy

Long awaited by the scholarly community, Wittgenstein's so-called Big Typescript (von Wright Catalog # TS 213) is presented here in an en face English–German scholar’s edition. Presents scholar’s edition of important material from 1933, Wittgenstein’s first efforts to set out his new thoughts after the publication of the Tractatus Logico Philosophicus Includes indications to help the reader identify Wittgenstein’s numerous corrections, additions, deletions, alternative words and phrasings, suggestions for moves within the text, and marginal comments

Principia Mathematica

Author: Alfred North Whitehead
Publisher:
ISBN: UOM:39015002922899
Release Date: 1912
Genre: Logic, Symbolic and mathematical


Ludwig Wittgenstein

Author: Ray Monk
Publisher: Random House
ISBN: 9781448112678
Release Date: 2012-03-31
Genre: Biography & Autobiography

'Monk's energetic enterprise is remarkable for the interweaving of the philosophical and the emotional aspects of Wittgenstein's life' Sunday Times 'Ray Monk's reconnection of Wittgenstein's philosophy with his life triumphantly carries out the Wittgensteinian task of "changing the aspect" of Wittgenstein's work, getting us to see it in a new way' Sunday Telegraph 'This biography transforms Wittgenstein into a human being' Independent on Sunday 'It is much to be recommended' Observer 'Monk's biography is deeply intelligent, generous to the ordinary reader... It is a beautiful portrait of a beautiful life' Guardian

Seeing Wittgenstein Anew

Author: William Day
Publisher: Cambridge University Press
ISBN: 9780521838436
Release Date: 2010-03-15
Genre: Language Arts & Disciplines

Seeing Wittgenstein Anew is a collection which examines Ludwig Wittgenstein's remarks on the concept of aspect-seeing, showing that it was not simply one more topic of investigation in Wittgenstein's later writings but rather a pervasive and guiding concept in his efforts to turn philosophy's attention to the actual conditions of our common life in language. The essays in this 2010 volume open up novel paths across familiar fields of thought: the objectivity of interpretation, the fixity of the past, the acquisition of language, and the nature of human consciousness. Significantly, they exemplify how continuing consideration of the interrelated phenomena of aspect-seeing might produce a fruitful way of doing philosophy in a new century.

Notebooks 1914 1916

Author: Ludwig Wittgenstein
Publisher: University of Chicago Press
ISBN: 0226904474
Release Date: 1984-01-15
Genre: Philosophy

The Austrian philosopher works out his theories of mathematical logic, the meaning of life, happiness, and death

Culture and Value

Author: Ludwig Wittgenstein
Publisher: University of Chicago Press
ISBN: 0226904350
Release Date: 1984-05-15
Genre: Philosophy

Selections from the notebooks of the distinguished philosopher discuss subjects such as music, religion, thinking, science, architecture, and civilization

Bemerkungen ber die Philosophie der Psychologie

Author: Ludwig Wittgenstein
Publisher: University of Chicago Press
ISBN: 0226904369
Release Date: 1988-10-15
Genre: History

Wittgenstein finished part 1 of the Philosophical Investigations in the spring of 1945. From 1946 to 1949 he worked on the philosophy of psychology almost without interruption. The present two-volume work comprises many of his writings over this period. Some of the remarks contained here were culled for part 2 of the Investigations; others were set aside and appear in the collection known as Zettel. The great majority, however, although of excellent quality, have hitherto remained unpublished. This bilingual edition of the Remarks on the Philosophy of Psychology presents the first English translation of an essential body of Wittegenstein's work. It elaborates Wittgenstein's views on psychological concepts such as expectation, sensation, knowing how to follow a rule, and knowledge of the sensations of other persons. It also shows strong emphasis on the "anthropological" aspect of Wittgenstein's thought. Philosophers, as well as anthropologists, psychologists, and sociologists will welcome this important publication.

Ludwig Wittgenstein

Author: Norman Malcolm
Publisher: Oxford University Press
ISBN: 0199247595
Release Date: 2001
Genre: Philosophy

Wittgenstein was one of the most powerful influences on contemporary philosophy, yet he shunned publicity and was essentially a private man. This remarkable, vivid, personal memoir is written by one of his friends, the eminent philosopher Norman Malcolm. Reissued in paperback, this edition includes the complete text of fifty-seven letters which Wittgenstein wrote to Malcolm over a period of eleven years. Also included is a concise biographical sketch by another of Wittgenstein's philosopher friends, Georg Henrik von Wright.'A reader does not need to care about philosophy to be excited by Mr Malcolm's book; it is about Wittgenstein as a man, and its interest is human interest'. (From a review of the first edition in the Manchester Guardian)

The Unimaginable Mathematics of Borges Library of Babel

Author: William Goldbloom Bloch
Publisher: Oxford University Press
ISBN: 0199715165
Release Date: 2008-08-25
Genre: Mathematics

"The Library of Babel" is arguably Jorge Luis Borges' best known story--memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works of modern literature. Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning G?del, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, information theory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literally unimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books. Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but also exposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.