Mathematics as Sign

Brian Rotman

Editore: Stanford University Press
ISBN 10: 0804736847 / ISBN 13: 9780804736848
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Riassunto: Two features of mathematics stand out: its menagerie of seemingly eternal objects (numbers, spaces, patterns, functions, categories, morphisms, graphs, and so on), and the hieroglyphics of special notations, signs, symbols, and diagrams associated with them. The author challenges the widespread belief in the extra-human origins of these objects and the understanding of mathematics as either a purely mental activity about them or a formal game of manipulating symbols. Instead, he argues that mathematics is a vast and unique man-made imagination machine controlled by writing. Mathematics as Sign addresses both aspects―mental and linguistic―of this machine. The opening essay, "Toward a Semiotics of Mathematics" (long acknowledged as a seminal contribution to its field), sets out the author's underlying model. According to this model, "doing" mathematics constitutes a kind of waking dream or thought experiment in which a proxy of the self is propelled around imagined worlds that are conjured into intersubjective being through signs. Other essays explore the status of these signs and the nature of mathematical objects, how mathematical ideograms and diagrams differ from each other and from written words, the probable fate of the real number continuum and calculus in the digital era, the manner in which Platonic and Aristotelean metaphysics are enshrined in the contemporary mathematical infinitude of endless counting, and the possibility of creating a new conception of the sequence of whole numbers based on what the author calls non-Euclidean counting. Reprising and going beyond the critique of number in Ad Infinitum, the essays in this volume offer an accessible insight into Rotman's project, one that has been called "one of the most original and important recent contributions to the philosophy of mathematics."

About the Author: Brian Rotman teaches in the Division of Comparative Studies at The Ohio State University. He is the author of Ad Infinitum . . . The Ghost in Turing's Machine: Taking God Out of Mathematics and Putting the Body Back In: An Essay in Corporeal Semiotics (Stanford, 1993) and Signifying Nothing: The Semiotics of Zero (Stanford paperback, 1993).

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Titolo: Mathematics as Sign
Casa editrice: Stanford University Press
Legatura: Paperback
Condizione libro: New

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Descrizione libro Stanford University Press, 2000. Condizione libro: Fine. 184 pp., Paperback, previous owner's name to half-title page else fine. Codice libro della libreria ZB1058565

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Descrizione libro Stanford University Press, 2000. Paperback. Condizione libro: Good. G+ Moderate edge & shelf wear. Clean, tight copy. Tag on fep. Codice libro della libreria mon0000099022

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Descrizione libro Stanford University Press, United States, 2000. Paperback. Condizione libro: New. Language: English . Brand New Book. Two features of mathematics stand out: its menagerie of seemingly eternal objects (numbers, spaces, patterns, functions, categories, morphisms, graphs, and so on), and the hieroglyphics of special notations, signs, symbols, and diagrams associated with them. The author challenges the widespread belief in the extra-human origins of these objects and the understanding of mathematics as either a purely mental activity about them or a formal game of manipulating symbols. Instead, he argues that mathematics is a vast and unique man-made imagination machine controlled by writing. Mathematics as Sign addresses both aspects-mental and linguistic-of this machine. The opening essay, Toward a Semiotics of Mathematics (long acknowledged as a seminal contribution to its field), sets out the author s underlying model. According to this model, doing mathematics constitutes a kind of waking dream or thought experiment in which a proxy of the self is propelled around imagined worlds that are conjured into intersubjective being through signs. Other essays explore the status of these signs and the nature of mathematical objects, how mathematical ideograms and diagrams differ from each other and from written words, the probable fate of the real number continuum and calculus in the digital era, the manner in which Platonic and Aristotelean metaphysics are enshrined in the contemporary mathematical infinitude of endless counting, and the possibility of creating a new conception of the sequence of whole numbers based on what the author calls non-Euclidean counting. Reprising and going beyond the critique of number in Ad Infinitum, the essays in this volume offer an accessible insight into Rotman s project, one that has been called one of the most original and important recent contributions to the philosophy of mathematics. Codice libro della libreria AAS9780804736848

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Descrizione libro Stanford University Press, United States, 2000. Paperback. Condizione libro: New. Language: English . Brand New Book. Two features of mathematics stand out: its menagerie of seemingly eternal objects (numbers, spaces, patterns, functions, categories, morphisms, graphs, and so on), and the hieroglyphics of special notations, signs, symbols, and diagrams associated with them. The author challenges the widespread belief in the extra-human origins of these objects and the understanding of mathematics as either a purely mental activity about them or a formal game of manipulating symbols. Instead, he argues that mathematics is a vast and unique man-made imagination machine controlled by writing. Mathematics as Sign addresses both aspects-mental and linguistic-of this machine. The opening essay, Toward a Semiotics of Mathematics (long acknowledged as a seminal contribution to its field), sets out the author s underlying model. According to this model, doing mathematics constitutes a kind of waking dream or thought experiment in which a proxy of the self is propelled around imagined worlds that are conjured into intersubjective being through signs. Other essays explore the status of these signs and the nature of mathematical objects, how mathematical ideograms and diagrams differ from each other and from written words, the probable fate of the real number continuum and calculus in the digital era, the manner in which Platonic and Aristotelean metaphysics are enshrined in the contemporary mathematical infinitude of endless counting, and the possibility of creating a new conception of the sequence of whole numbers based on what the author calls non-Euclidean counting. Reprising and going beyond the critique of number in Ad Infinitum, the essays in this volume offer an accessible insight into Rotman s project, one that has been called one of the most original and important recent contributions to the philosophy of mathematics. Codice libro della libreria AAS9780804736848

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Descrizione libro Stanford U.P., Stanford, CA, 2000. Paperback. Condizione libro: New. First Edition. (full book description) Stanford U.P., Stanford, CA, 2000. 1st PB Edition 1st Printing, NEW, Paperback, Size=5.5"x8.5", 170pgs(Index). Brand New Copy. Clean, very tight and bright. No ink names, tears, chips, foxing etc. "Original Printing 2000" ISBN 0804736847 SELLING WORLDWIDE since 1987. 99% OF OUR BOOKS ARE SHIPPED IN CUSTOM BOXES, WE ALWAYS PACK WITH GREAT CARE!. Book. Codice libro della libreria CONROY235358I

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Descrizione libro Stanford University Press, United States, 2000. Paperback. Condizione libro: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Two features of mathematics stand out: its menagerie of seemingly eternal objects (numbers, spaces, patterns, functions, categories, morphisms, graphs, and so on), and the hieroglyphics of special notations, signs, symbols, and diagrams associated with them. The author challenges the widespread belief in the extra-human origins of these objects and the understanding of mathematics as either a purely mental activity about them or a formal game of manipulating symbols. Instead, he argues that mathematics is a vast and unique man-made imagination machine controlled by writing. Mathematics as Sign addresses both aspects-mental and linguistic-of this machine. The opening essay, Toward a Semiotics of Mathematics (long acknowledged as a seminal contribution to its field), sets out the author s underlying model. According to this model, doing mathematics constitutes a kind of waking dream or thought experiment in which a proxy of the self is propelled around imagined worlds that are conjured into intersubjective being through signs. Other essays explore the status of these signs and the nature of mathematical objects, how mathematical ideograms and diagrams differ from each other and from written words, the probable fate of the real number continuum and calculus in the digital era, the manner in which Platonic and Aristotelean metaphysics are enshrined in the contemporary mathematical infinitude of endless counting, and the possibility of creating a new conception of the sequence of whole numbers based on what the author calls non-Euclidean counting. Reprising and going beyond the critique of number in Ad Infinitum, the essays in this volume offer an accessible insight into Rotman s project, one that has been called one of the most original and important recent contributions to the philosophy of mathematics. Codice libro della libreria BTE9780804736848

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