Author: Alfred Nordmann Publisher: Cambridge University Press ISBN: 9780521850865 Category : Mathematics Languages : en Pages : 256
Book Description
This introduction, first published in 2005, considers the philosophical and literary aspects of Wittgenstein's 'Tractatus' and shows how they are related.
Author: Ludwig Wittgenstein Publisher: Univ of California Press ISBN: Category : Aesthetics Languages : en Pages : 84
Book Description
The first thing to be said about this book is that nothing contained herein was written by Wittgenstein himself. The notes published here are not Wittgenstein's own lecture notes, but notes taken down by students, which he neither saw nor checked. It is even doubtful if he would have approved of their publication, as least in their present form. Since, however, they deal with topics only briefly touched upon in his other published writings, and since for some time they have been circulating privately, it was thought best to publish them in a form approved by their authors.
Author: Cora Diamond Publisher: University of Chicago Press ISBN: 022630860X Category : Philosophy Languages : en Pages : 301
Book Description
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.
Author: J. L. Casti Publisher: ISBN: 9780316642811 Category : Artificial intelligence Languages : en Pages : 181
Book Description
By 1949, the idea of duplicating human thought processes in a computer was starting to surface, as the outgrowth of code-breaking work done by Alan Turing and others in Britain during the Second World War. This ingenious work of speculative scientific fiction reconstructs what might have been said during the animated conversation flowing around Snow's rooms that fateful in Cambridge. The quintet's debate anticipates all of the basic questions which have surrounded artificial intelligence in the fifty years since. Can a machine think or merely process information? Is the brain simply a symbol-processing machine, as Turing suggests, and if so, what is the nature of meaning? Can there be, as Wittgenstein proposes, no thought without language, and no language without the social interaction of human beings?
Author: Ludwig Wittgenstein Publisher: Univ of California Press ISBN: 9780520037250 Category : Language Arts & Disciplines Languages : en Pages : 500
Book Description
In 1933 Ludwig Wittgenstein revised a manuscript he had compiled from his 1930-1932 notebooks, but the work as a whole was not published until 1969, as Philosophische Grammatik. This first English translation clearly reveals the central place Philosophical Grammar occupies in Wittgenstein's thought and provides a link from his earlier philosophy to his later views.
Author: Yorick Smythies Publisher: John Wiley & Sons ISBN: 1119166330 Category : Philosophy Languages : en Pages : 406
Book Description
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
Author: Juliet Floyd Publisher: Cambridge University Press ISBN: 1108616534 Category : Science Languages : en Pages : 96
Book Description
For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. Sentences exhibit differing 'aspects', or dimensions of meaning, projecting mathematical 'realities'. Mathematics is an activity of constructing standpoints on equalities and differences of these. Wittgenstein's Later Philosophy of Mathematics (1934–1951) grew from his Early (1912–1921) and Middle (1929–33) philosophies, a dialectical path reconstructed here partly as a response to the limitative results of Gödel and Turing.
Author: Roi Wagner Publisher: Princeton University Press ISBN: 0691171718 Category : Mathematics Languages : en Pages : 250
Book Description
In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do—and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications? Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics’ exceptional consensus is due to the subject’s underlying reality. The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.
Author: Juliet Floyd Publisher: Springer ISBN: 3319532804 Category : Science Languages : en Pages : 369
Book Description
Chapters “Turing and Free Will: A New Take on an Old Debate” and “Turing and the History of Computer Music” are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
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Author: Alfred Nordmann
Author: Ludwig Wittgenstein
Author: Cora Diamond
Author: J. L. Casti
Author: Ludwig Wittgenstein
Author: Yorick Smythies
Author: Alfred North Whitehead
Author: Juliet Floyd
Author: Roi Wagner
Author: Juliet Floyd