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Author: S.G. Shanker
Publisher: Routledge
Published: 2013-12-19
Total Pages: 571
ISBN-13: 1317832035
DOWNLOAD EBOOKFirst published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.
Author: S.G. Shanker
Publisher: Routledge
Published: 2013-12-19
Total Pages: 373
ISBN-13: 1317832043
DOWNLOAD EBOOKFirst published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.
Author: Stuart Shanker
Publisher:
Published: 1984
Total Pages: 540
ISBN-13:
DOWNLOAD EBOOKAuthor: Stuart Shanker
Publisher:
Published: 1984
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Juliet Floyd
Publisher: Cambridge University Press
Published: 2021-08-12
Total Pages: 96
ISBN-13: 1108616534
DOWNLOAD EBOOKFor 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: Pasquale Frascolla
Publisher: Routledge
Published: 2006-12-05
Total Pages: 200
ISBN-13: 113497437X
DOWNLOAD EBOOKWittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.
Author: Stewart Shapiro
Publisher: OUP USA
Published: 2005-02-10
Total Pages: 850
ISBN-13: 0195148770
DOWNLOAD EBOOKCovers the state of the art in the philosophy of maths and logic, giving the reader an overview of the major problems, positions, and battle lines. The chapters in this book contain both exposition and criticism as well as substantial development of their own positions. It also includes a bibliography.
Author: Hans D. Sluga
Publisher: Cambridge University Press
Published: 1996-10-28
Total Pages: 528
ISBN-13: 9780521465915
DOWNLOAD EBOOKThe essays in this volume address central themes in Wittgenstein's writings on the philosophy of mind, language, logic, and mathematics.
Author: Severin Schroeder
Publisher: Routledge
Published: 2020-12-29
Total Pages: 238
ISBN-13: 1000318273
DOWNLOAD EBOOKThis 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: Christoffer Gefwert
Publisher: Routledge
Published: 2017-11-22
Total Pages: 349
ISBN-13: 1351731424
DOWNLOAD EBOOKThis title was first published in 2000: What was Wittgenstein's relation to "theory of meaning" in his post-1937 writings and what was his characterization of "philosophy" ? How does "philosophy" in Wittgenstein's later writings differ from what is usually accepted in modern academic 'analytic' philosophy? This book discusses problems encountered in looking at Wittgenstein's texts after-1937, focusing particularly on whether the problem of philosophy amounts to a systematic or a theoretical activity. Arguing that philosophy can be characterized as a form of conceptual investigation, Gefwert aims to demonstrate that a theoretical view does not correspond to Wittgenstein's conception of philosophy. For example, philosophy is not transcendental as he thought it was before 1929. Neither is philosophical language universal as Wittgenstein 1929-1936 thought it was. Proposing that a philosophical conceptual investigation is analogous to a psychotherapeutical session of Freud, with the common aim to dissolve the conceptual problems in language that haunt us in our everyday life, Gefwert's examination of the post-1937 writings of Wittgenstein concludes that "philosophical investigation" is a very different activity than that assumed by the Logical Positives and others adhering to a theoretical view.
