Ad Infinitum-- The Ghost in Turing's Machine: Taking God Out of Mathematics and Putting the Body Back in : An Essay in Corporeal Semiotics - Brossura

Rotman, Brian

Brossura

ISBN 10: 0804721289 ISBN 13: 9780804721288

Casa editrice: Stanford Univ Pr, 1993

Riassunto

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.

Su questo libro

Informazioni sull?autore

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

Dalla quarta di copertina

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

Dettagli dell'edizione

• Editore: Stanford Univ Pr
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 0804721289
• ISBN 13: 9780804721288
• Rilegatura: Copertina flessibile
• Numero di pagine: 224
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile