Taking God Out of Mathematics and Putting the Body Back in: An Essay in Corporeal Semiotics
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.
What people are saying - Write a review
We haven't found any reviews in the usual places.
ABSTRACT God Number the Body
Passage to the Limit 89
Dreaming the Absolute
Other editions - View all
abstract account of mathematics activity actual Agent arith arithmetical operations articulate assertions axiomatic axioms classical closure Code cognize commutative law conception construction constructivism constructivist counting cultural difference discourse dream embodied empirical endless Euclidean existence exit point explicate finite forgetful functors formal functors geometry historical human idea ideal ideogram imagined infinite infinitistic infinitum infinity inseparable integers interpretation intuition intuitionism issue limit logic manipulation mathe mathematical practice mathematical signs mathematical Subject mathematicians matical Maxwell's Demon means metaCode metaphysical realism metaphysics metical natural numbers non-Euclidean geometries notations objects Observe paradoxes Peirce Peirce's philosophical physical Platonism Platonist possible practice present principle produce proof proxy pure question rational real numbers realizable arithmetic realizable iterates relation repeated repetition result semiotic sense sequence signifiers sorites paradoxes space status structure successor function technoscience theoretical theorization thought experiments tion transcendental transiterates transrationals truth understanding whole numbers writing