Ad Infinitum. the Ghost in Turing's Machine
Language: English
Published by Stanford University Press, US, 1993
- Softcover
- New
Seller: Rarewaves USA, HEBRON, KY, U.S.A.Rarewaves USA
AbeBooks seller since June 10, 2025
Condition: New
£ 25.34
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Seller Inventory # LU-9780804721288
- Title
- Ad Infinitum. the Ghost in Turing's Machine
- Author
- Brian Rotman
- Publisher
- Stanford University Press, US
- Publication year
- 1993
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0804721289
- ISBN 13
- 9780804721288
- Item weight
- 290 grams
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.
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