Proof and Other Dilemmas by Bonnie Gold

Proof and Other Dilemmas by Bonnie Gold

During the first 75 years of the twentieth century almost all work in the philosophy of mathematics concerned foundational questions. In the last quarter of the century, philosophers of mathematics began to return to basic questions concerning the philosophy of mathematics such as, what is the nature of mathematical knowledge and of mathematical objects, and how is mathematics related to science? Two new schools of philosophy of mathematics, social constructivism and structuralism, were added to the four traditional views (formalism, intuitionalism, logicism, and platonism). The advent of the computer led to proofs and the development of mathematics assisted by computer, and to questions of the role of the computer in mathematics. This book of 16 essays, all written specifically for this volume, is the first to explore this range of new developments in a language accessible to mathematicians. Approximately half the essays were written by mathematicians, and consider questions that philosophers are not yet discussing. The other half, written by philsophers of mathematics, summarize the discussion in that community during the last 35 years. In each case, a connection is made to issues relevant to the teach of mathematics.

Bonnie Gold is a Professor in the Mathematics Department at Monmouth University, New Jersey. Roger Simons is a Professor in the Department of Mathematics and Computer Science at Rhode Island College.

SKU	Non disponible
ISBN 13	9780883855676
ISBN 10	0883855674
Titre	Proof and Other Dilemmas
Auteur	Bonnie Gold
Série	Spectrum
État	Non disponible
Type de reliure	Hardback
Éditeur	Mathematical Association of America
Année de publication	2009-01-22
Nombre de pages	378
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible