The Foundations of Mathematics and Other Logical Essays

The Foundations of Mathematics and Other Logical Essays PDF Author: Frank Plumpton Ramsey
Publisher: Psychology Press
ISBN: 9780415225465
Category : Mathematics
Languages : en
Pages : 312

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Book Description
First Published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

The Foundations of Mathematics and Other Logical Essays

The Foundations of Mathematics and Other Logical Essays PDF Author: Frank Plumpton Ramsey
Publisher: Psychology Press
ISBN: 9780415225465
Category : Mathematics
Languages : en
Pages : 312

Get Book Here

Book Description
First Published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

Introduction to the Foundations of Mathematics

Introduction to the Foundations of Mathematics PDF Author: Raymond L. Wilder
Publisher: Courier Corporation
ISBN: 0486276201
Category : Mathematics
Languages : en
Pages : 354

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Book Description
Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.

The Foundations of Mathematics, Updated Edition

The Foundations of Mathematics, Updated Edition PDF Author: Michael Bradley
Publisher: Infobase Holdings, Inc
ISBN: 1438182287
Category : Mathematics
Languages : en
Pages : 158

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Book Description
Praise for the previous edition: “…ample information for reports.”—School Library Journal During the 16th and 17th centuries, mathematicians developed a wealth of new ideas but had not carefully employed accurate definitions, proofs, or procedures to document and implement them. However, in the early 19th century, mathematicians began to recognize the need to precisely define their terms, to logically prove even obvious principles, and to use rigorous methods of manipulation. The Foundations of Mathematics, Updated Edition presents the lives and accomplishments of 10 mathematicians who contributed to one or more of the four major initiatives that characterized the rapid growth of mathematics during the 19th century: the introduction of rigor, the investigation of the structure of mathematical systems, the development of new branches of mathematics, and the spread of mathematical activity throughout Europe. This updated edition communicates the importance and impact of the work of the pioneers who redefined this area of study. Each unit contains information on the person's research, discoveries, and contributions to the field and concludes with a list of print and Internet references specific to that individual.

From Kant to Husserl

From Kant to Husserl PDF Author: Charles Parsons
Publisher: Harvard University Press
ISBN: 0674065425
Category : Philosophy
Languages : en
Pages : 257

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Book Description
In From Kant to Husserl, Charles Parsons examines a wide range of historical opinion on philosophical questions from mathematics to phenomenology. Amplifying his early ideas on Kant’s philosophy of arithmetic, the author then turns to reflections on Frege, Brentano, and Husserl.

Tractatus in Context

Tractatus in Context PDF Author: James C. Klagge
Publisher: Routledge
ISBN: 100045522X
Category : Philosophy
Languages : en
Pages : 382

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Book Description
Ludwig Wittgenstein’s brief Tractatus Logico-Philosophicus (1922) is one of the most important philosophical works of the twentieth century, yet it offers little orientation for the reader. The first-time reader is left wondering what it could be about, and the scholar is left with little guidance for interpretation. In Tractatus in Context, James C. Klagge presents the vital background necessary for appreciating Wittgenstein’s gnomic masterpiece. Tractatus in Context contains the early reactions to the Tractatus, including the initial reviews written in 1922-1924. And while we can’t talk with Wittgenstein, we can do the next best thing—hear what he had to say about the Tractatus. Klagge thus presents what Wittgenstein thought about germane issues leading up to his writing the book, in discussions and correspondence with others about his ideas, and what he had to say about the Tractatus after it was written—in letters, lectures and conversations. It offers, you might say, Wittgenstein’s own commentary on the book. Key Features: Illuminates what is at stake in the Tractatus, by providing the views of others that engaged Wittgenstein as he was writing it. Includes Wittgenstein’s earlier thoughts on ideas in the book as recorded in his notebooks, letters, and conversations as well as his later, retrospective comments on those ideas. Draws on new or little-known sources, such as Wittgenstein’s coded notebooks, Hermine’s notes, Frege’s letters, Hänsel’s diary, Ramsey’s notes, and Skinner’s dictations. Draws connections between the background context and specific passages in the Tractatus, using a proposition-by-proposition commentary.

Cambridge and Vienna

Cambridge and Vienna PDF Author: Maria C. Galavotti
Publisher: Springer Science & Business Media
ISBN: 9781402041006
Category : Mathematics
Languages : en
Pages : 274

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Book Description
The Institute Vienna Circle held a conference in Vienna in 2003, Cambridge and Vienna – Frank P. Ramsey and the Vienna Circle, to commemorate the philosophical and scientific work of Frank Plumpton Ramsey (1903–1930). This Ramsey conference provided not only historical and biographical perspectives on one of the most gifted thinkers of the Twentieth Century, but also new impulses for further research on at least some of the topics pioneered by Ramsey, whose interest and potential are greater than ever. Ramsey did pioneering work in several fields, practitioners of which rarely know of his important work in other fields: philosophy of logic and theory of language, foundations of mathematics, mathematics, probability theory, methodology of science, philosophy of psychology, and economics. There was a focus on the one topic which was of strongest mutual concern to Ramsey and the Vienna Circle, namely the question of foundations of mathematics, in particular the status of logicism. Although the major scientific connection linking Ramsey with Austria is his work on logic, to which the Vienna Circle dedicated several meetings, certainly the connection which is of greater general interest concerns Ramsey's visits and discussions with Wittgenstein. Ramsey was the only important thinker to actually visit Wittgenstein during his school-teaching career in Puchberg and Ottertal in the 1920s, in Lower Austria; and later, Ramsey was instrumental in getting Wittgenstein positions at Cambridge.

Discrete Thoughts

Discrete Thoughts PDF Author: Mark Kac
Publisher: Springer Science & Business Media
ISBN: 9780817647742
Category : Mathematics
Languages : en
Pages : 286

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Book Description
This is a volume of essays and reviews that delightfully explores mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. These beautifully written articles from three great modern mathematicians will provide a source for supplemental reading for almost any math class. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and broad applications of mathematics. Readers will also find coverage of history and philosophy, including discussion of the work of Ulam, Kant, and Heidegger, among others.

Scientific and Technical Books in Print

Scientific and Technical Books in Print PDF Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 1630

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Book Description


Computability

Computability PDF Author: Richard L. Epstein
Publisher:
ISBN: 9780495028864
Category : Computable functions
Languages : en
Pages : 299

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Book Description


From Writing To Computers

From Writing To Computers PDF Author: Julian Warner
Publisher: Routledge
ISBN: 1134864965
Category : Education
Languages : en
Pages : 172

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Book Description
We do not need to look far for signs of divided consciousness with regard to books and computers. For instance, the United Kingdom Data Protection Act 1984 gave British subjects some rights of access to computer-held information on themselves but not to paper records. From Writing to Computers takes as its central theme the issue of a unifying intellectual principle to connect books and computers. Julian Warner uses an approach based on semiotics, and also draws on linguistics, information science, cognitive science, philosophy and automata studies. Covering a range of topics from the relations between speech and writing, to transitions from orality to literacy and claims for a transition to an information society, the author aims throughout to render complex ideas intelligible without loss of rigour. From Writing to Computers addresses ordinary readers who, as social beings and members of political communities, are affected by, and implicated, in significant developments in methods for storing, manipulating and communicating information. It is also intended for students of the disciplines on which the book draws: semiotics, information studies, linguistics, computer science, philosophy and psychology.