Ad Infinitum. the Ghost in Turing's Machine

Brian Rotman

ISBN 10: 0804721289 / ISBN 13: 9780804721288

Published by Stanford University Press, US, 1993

About this Item

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.

Seller Inventory # LU-9780804721288

Bibliographic Details

• Title: Ad Infinitum. the Ghost in Turing's Machine
• Publisher: Stanford University Press, US
• Publication Date: 1993
• Language: English
• ISBN 10: 0804721289
• ISBN 13: 9780804721288
• Binding: Paperback
• Condition: New
• Weight: 290 grams

About this title

Synopsis

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.

About the Author

Brian Rotman is an independent scholar and the author of, most recently, Signifying Nothing: The Semiotics of Zero.