Описание: Offers a detailed study of Gottfried Wilhelm Leibniz`s creation of calculus from 1673 to the 1680s. In this book, the authors examine and analyze the mathematics in several of his early manuscripts as well as various articles published in the "Acta Eruditorum".
Описание: Analyzes the interaction between Europe and East Asia in the 17th and 18th centuries in the field of mathematical sciences, bringing to the fore the role of Portugal as an agent of transformation in this process. This title brings together an analysis on the following themes: Portugal and the Jesuit Missions in Asia, and more.
Автор: de Freitas Название: What is a Mathematical Concept? ISBN: 1107134633 ISBN-13(EAN): 9781107134638 Издательство: Cambridge Academ Рейтинг: Цена: 15840.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a contemporary resource for scholars and students whose work takes up the philosophical and sociological dimensions of number, quantity, measure, and mathematics in some manner. Leaders in their fields offer new insights into what is a mathematical concept, drawing on contemporary cultural theory and mathematical practice.
In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do--and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications?
Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics' exceptional consensus is due to the subject's underlying reality.
The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.
-- "Choice"
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