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Ad Infinitum: The Ghost in Turing's Machine

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Ad Infinitum: The Ghost in Turing's Machine Cover

 

Synopses & Reviews

Publisher Comments:

This ambitious work puts forward a new account of mathematics-as-language that challenges the coherence of the accepted idea of infinity and suggests a startlingly new conception of counting. The author questions the familiar, classical interpretation of whole numbers held by mathematicians, and replaces it with a radical alternative. The author bases his analysis on the development of a semiotic model that characterizes mathematics as a form of discourse organized around certain kinds of waking dreams or thought experiments. The model allows him to articulate the role of the sign-using mathematical subject and of that subject's imagined self which plays a crucial part in achieving mathematical persuasion. Ad Infinitum is a significant contribution to postmodern epistemology and the philosophy of science.

Synopsis:

“Rotman uses semiotics to focus on the infinite and the meaning of the mathematicians ellipsis. . . . He argues persuasively that a constructive model of the infinite is inherent in the literary acts of mathematicians.”—Choice

Synopsis:

A new account of mathematics-as-language that challenges the coherence of the accepted idea of infinity and suggests a startlingly new conception of counting.

Description:

Includes bibliographical references (p. [195]-200) and index.

Product Details

ISBN:
9780804721288
Author:
Rotman, Brian
Author:
Rotman, B.
Publisher:
Stanford University Press
Location:
Stanford, Calif. :
Subject:
General
Subject:
Philosophy
Subject:
Mathematics
Subject:
Modern
Subject:
Metaphysics
Subject:
Infinity
Subject:
Infinite
Subject:
Mathematics -- Philosophy.
Subject:
History & Surveys - Modern
Subject:
General Philosophy
Subject:
Philosophy : General
Edition Number:
1
Edition Description:
1
Series Volume:
9436
Publication Date:
19930931
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
224
Dimensions:
9 x 5.5 in

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Ad Infinitum: The Ghost in Turing's Machine New Trade Paper
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Product details 224 pages Stanford University Press - English 9780804721288 Reviews:
"Synopsis" by ,
“Rotman uses semiotics to focus on the infinite and the meaning of the mathematicians ellipsis. . . . He argues persuasively that a constructive model of the infinite is inherent in the literary acts of mathematicians.”—Choice
"Synopsis" by , A new account of mathematics-as-language that challenges the coherence of the accepted idea of infinity and suggests a startlingly new conception of counting.
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