The Philosophy of Mathematical Practice - Softcover

Softcover

ISBN 10: 0199640106 ISBN 13: 9780199640102

Verlag: Oxford University Press, USA, 2012

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Críticas:

Review from previous edition highly commendable to a large pool of readers ... All taken together, this carefully produced book will be of great interest to those who care for the philosophy of mathematics. (History and Philosophy of Logic)

Reseña del editor:

Contemporary philosophy of mathematics offers us an embarrassment of riches. Among the major areas of work one could list developments of the classical foundational programs, analytic approaches to epistemology and ontology of mathematics, and developments at the intersection of history and philosophy of mathematics. But anyone familiar with contemporary philosophy of mathematics will be aware of the need for new approaches that pay closer attention to mathematical practice. This book is the first attempt to give a coherent and unified presentation of this new wave of work in philosophy of mathematics. The new approach is innovative at least in two ways. First, it holds that there are important novel characteristics of contemporary mathematics that are just as worthy of philosophical attention as the distinction between constructive and non-constructive mathematics at the time of the foundational debates. Secondly, it holds that many topics which escape purely formal logical treatment―such as visualization, explanation, and understanding―can nonetheless be subjected to philosophical analysis.

The Philosophy of Mathematical Practice comprises an introduction by the editor and eight chapters written by some of the leading scholars in the field. Each chapter consists of a short introduction to the general topic of the chapter followed by a longer research article in the area. The eight topics selected represent a broad spectrum of contemporary philosophical reflection on different aspects of mathematical practice: diagrammatic reasoning and representational systems; visualization; mathematical explanation; purity of methods; mathematical concepts; the philosophical relevance of category theory; philosophical aspects of computer science in mathematics; the philosophical impact of recent developments in mathematical physics.

Über diese Auflage

• Verlag: Oxford University Press, USA
• Erscheinungsdatum: 2012
• ISBN 10: 0199640106
• ISBN 13: 9780199640102
• Einband: Tapa blanda
• Anzahl der Seiten: 460
• Herausgeber: Mancosu Paolo