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 ...
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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.
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Like New. Size: 9x1x6; Glossy stiff card covers; firm and square, sharp corners, just ever so lightly shelf-worn. Contents fresh and crisp; no pen-marks and not from a library so no such stamps or labels. Thus a nearly new copy in great shape, looks and feels unread.
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Fine with no dust jacket. 0199640106. With illustrations. Light shelfwear.; "The Philosophy of Mathematical Practice, " edited by Paolo Mancosu, offers a comprehensive examination of the diverse methods, implications, and philosophical inquiries associated with the practice of mathematics. This anthology compiles essays from prominent philosophers of mathematics, each addressing different aspects of mathematical practice such as proof, abstraction, tools, and the role of computation in mathematics. The book challenges the traditional, purely abstract view of mathematics by delving into how mathematicians actually work, including their use of symbols, the importance of visualization, and how they conceive structures and proofs. This approach brings to light the often-overlooked empirical processes involved in mathematical reasoning and highlights the human elements of intuition and creativity. Mancosu's collection stands out for its emphasis on understanding the epistemological and ontological issues arising from practical mathematical activities. It discusses how these practices influence the development of mathematical theories and contribute to philosophical debates about the nature of mathematics itself. Ideal for students and scholars of philosophy and mathematics, "The Philosophy of Mathematical Practice" provides valuable insights into the real-world dynamics of mathematical investigation, making a significant contribution to the field of philosophy of mathematics.; Octavo; xii, 447 pages.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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Fine. Intended for college/higher education audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Intended for college/higher education audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
