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."
"Sinopsis" puede pertenecer a otra edición de este libro.
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).
"Sobre este título" puede pertenecer a otra edición de este libro.
EUR 3,25 gastos de envío desde Estados Unidos de America a España
Destinos, gastos y plazos de envíoEUR 4,09 gastos de envío desde Reino Unido a España
Destinos, gastos y plazos de envíoLibrería: ThriftBooks-Dallas, Dallas, TX, Estados Unidos de America
Paperback. Condición: Good. No Jacket. Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 0.5. Nº de ref. del artículo: G0804736847I3N10
Cantidad disponible: 1 disponibles
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: FW-9780804736848
Cantidad disponible: 15 disponibles
Librería: Pórtico [Portico], ZARAGOZA, Z, España
Tapa blanda. Condición: New. ROTMAN, B.: MATHEMATICS AS SIGN. WRITING, IMAGINING, COUNTING. STANFORD, CA, 2000, x 170 p. graficos, 245 gr. Encuadernacion original. Nuevo. (GE-1-2) 245 gr. Libro. Nº de ref. del artículo: 272262
Cantidad disponible: 1 disponibles
Librería: Frabjous Books, Calgary, AB, Canada
Soft cover. Condición: Very Good. x, 170 pp. Rotman "argues that mathematics is a vast and unique man-made imagination machine controlled by writing." Bright clean copy. Covers have some light shelf wear. Nº de ref. del artículo: 021347
Cantidad disponible: 1 disponibles
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Condición: New. In. Nº de ref. del artículo: ria9780804736848_new
Cantidad disponible: Más de 20 disponibles
Librería: BargainBookStores, Grand Rapids, MI, Estados Unidos de America
Paperback or Softback. Condición: New. Mathematics as Sign: Writing, Imagining, Counting 0.5. Book. Nº de ref. del artículo: BBS-9780804736848
Cantidad disponible: 5 disponibles
Librería: Studibuch, Stuttgart, Alemania
paperback. Condición: Befriedigend. 184 Seiten; 9780804736848.4 Gewicht in Gramm: 500. Nº de ref. del artículo: 907943
Cantidad disponible: 1 disponibles
Librería: THE SAINT BOOKSTORE, Southport, Reino Unido
Paperback / softback. Condición: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 260. Nº de ref. del artículo: C9780804736848
Cantidad disponible: Más de 20 disponibles
Librería: SN Books Ltd, Thetford, Reino Unido
paperback. Condición: Very Good. Orders shipped daily from the UK. Professional seller. Nº de ref. del artículo: mon0000470385
Cantidad disponible: 1 disponibles
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Condición: New. Nº de ref. del artículo: 252184-n
Cantidad disponible: Más de 20 disponibles