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Author: Crispin Wright
Publisher:
Published: 1994
Total Pages: 481
ISBN-13: 9780751202953
DOWNLOAD EBOOK →In this detailed account, Crispin Wright offers a systematic account of Wittgenstein's later philosophy of mathematics and establishes its links with his later philosophy of language. In line with this, he examines Wittgenstein's Remarks on the Foundations of Mathematics.
Author: Gertrude D. Conway
Publisher: Humanities Press International
Published: 1989
Total Pages: 208
ISBN-13:
DOWNLOAD EBOOK →Author: Mathieu Marion
Publisher: OUP Oxford
Published: 1998-12-17
Total Pages: 272
ISBN-13: 0191568325
DOWNLOAD EBOOK →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 by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical 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. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.
Author: Ernst Konrad Specht
Publisher: Manchester University Press
Published: 1969
Total Pages: 230
ISBN-13: 9780719003127
DOWNLOAD EBOOK →Author: Stuart G. Shanker
Publisher: Routledge
Published: 2002-01-31
Total Pages: 535
ISBN-13: 1134859910
DOWNLOAD EBOOK →Wittgenstein's Remarks on the Foundations of AI is a valuable contribution to the study of Wittgenstein's theories and his controversial attack on artifical intelligence, which successfully crosses a number of disciplines, including philosophy, psychology, logic, artificial intelligence and cognitive science, to provide a stimulating and searching analysis.
Author: Ludwig Wittgenstein
Publisher:
Published: 1972
Total Pages: 204
ISBN-13: 9780262730174
DOWNLOAD EBOOK →Author: Ludwig Wittgenstein
Publisher: Wiley-Blackwell
Published: 1991-01-08
Total Pages: 448
ISBN-13: 9780631125051
DOWNLOAD EBOOK →Wittgenstein's work remains, undeniably, now, that off one of those few philosophers who will be read by all future generations.
Author: Severin Schroeder
Publisher: Routledge
Published: 2020-12-30
Total Pages: 200
ISBN-13: 100031829X
DOWNLOAD EBOOK →This book offers a detailed account and discussion of Ludwig Wittgenstein’s philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege’s logicist attempt to provide arithmetic with a foundation and Wittgenstein’s criticisms of it, followed by sketches of Wittgenstein’s early views of mathematics, in the Tractatus and in the early 1930s. Then (in Part II), Wittgenstein’s mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the calculus view and the grammar view. On the one hand, mathematics is seen as a human activity — calculation — rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein’s provocative views on Hilbert’s Formalism and the quest for consistency proofs and on Gödel’s incompleteness theorems.
Author: Ludwig Wittgenstein
Publisher: University of Chicago Press
Published: 1980-10-15
Total Pages: 357
ISBN-13: 0226904318
DOWNLOAD EBOOK →When in May 1930, the Council of Trinity College, Cambridge, had to decide whether to renew Wittgenstein's research grant, it turned to Bertrand Russell for an assessment of the work Wittgenstein had been doing over the past year. His verdict: "The theories contained in this new work . . . are novel, very original and indubitably important. Whether they are true, I do not know. As a logician who likes simplicity, I should like to think that they are not, but from what I have read of them I am quite sure that he ought to have an opportunity to work them out, since, when completed, they may easily prove to constitute a whole new philosophy." "[Philosophical Remarks] contains the seeds of Wittgenstein's later philosophy of mind and of mathematics. Principally, he here discusses the role of indispensable in language, criticizing Russell's The Analysis of Mind. He modifies the Tractatus's picture theory of meaning by stressing that the connection between the proposition and reality is not found in the picture itself. He analyzes generality in and out of mathematics, and the notions of proof and experiment. He formulates a pain/private-language argument and discusses both behaviorism and the verifiability principle. The work is difficult but important, and it belongs in every philosophy collection."—Robert Hoffman, Philosophy "Any serious student of Wittgenstein's work will want to study his Philosophical Remarks as a transitional book between his two great masterpieces. The Remarks is thus indispensible for anyone who seeks a complete understanding of Wittgenstein's philosophy."—Leonard Linsky, American Philosophical Association
