Ad Infinitum... The Ghost in Turing's Machine

Ad Infinitum... The Ghost in Turing's Machine
Author: Brian Rotman
Publisher: Stanford University Press
Total Pages: 238
Release: 1993
Genre: Philosophy
ISBN: 9780804721271


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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 scientists, and replaces it with an original and radical alternative--what the author calls non-Euclidean arithmetic. The author's entry point is an attack on the notion of the mathematical infinite in both its potential and actual forms, an attack organized around his claim that any interpretation of "endless" or "unlimited" iteration is ineradicably theological. Going further than critique of the overt metaphysics enshrined in the prevailing Platonist description of mathematics, he uncovers a covert theism, an appeal to a disembodied ghost, deep inside the mathematical community's understanding of counting.


Ad Infinitum... The Ghost in Turing's Machine
Language: en
Pages: 238
Authors: Brian Rotman
Categories: Philosophy
Type: BOOK - Published: 1993 - Publisher: Stanford University Press

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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 startlin
Ad Infinitum. The Ghost in Turing's Machine
Language: en
Pages: 224
Authors: Brian Rotman
Categories: PHILOSOPHY
Type: BOOK - Published: 2022 - Publisher:

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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 startlin
Routledge Handbook of Interdisciplinary Research Methods
Language: en
Pages: 459
Authors: Celia Lury
Categories: Social Science
Type: BOOK - Published: 2018-07-06 - Publisher: Routledge

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The landscape of contemporary research is characterized by growing interdisciplinarity, and disciplinary boundaries are blurring faster than ever. Yet while int
Burdens of Proof
Language: en
Pages: 283
Authors: Jean-Francois Blanchette
Categories: Computers
Type: BOOK - Published: 2012-04-27 - Publisher: MIT Press

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An examination of the challenges of establishing the authenticity of electronic documents—in particular the design of a cryptographic equivalent to handwritte
Symbolizing and Communicating in Mathematics Classrooms
Language: en
Pages: 439
Authors: Paul Cobb
Categories: Education
Type: BOOK - Published: 2012-11-12 - Publisher: Routledge

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This volume grew out of a symposium on discourse, tools, and instructional design at Vanderbilt University in 1995 that brought together a small international g