Mathematical bridge, Hewson, Stephen

Автор: Brown
Название: Platonism, Naturalism, and Mathematical Knowledge
ISBN: 1138809772 ISBN-13(EAN): 9781138809772
Издательство: Taylor&Francis
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Цена: 8573.00 р.
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Описание: This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does this engaging book present the Platonist-Naturalist debate over mathematics in a comprehensive fashion, but it also sheds considerable light on non-mathematical aspects of a dispute that is central to contemporary philosophy.

Автор: Feng Ye
Название: Strict Finitism and the Logic of Mathematical Applications
ISBN: 9400736312 ISBN-13(EAN): 9789400736313
Издательство: Springer
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Цена: 18866.00 р.
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Описание: Exploring the logic behind applied mathematics to the physical world, this volume illustrates how radical naturalism, nominalism and strict finitism can account for the applications of classical mathematics in current theories about natural phenomena.

Автор: Isoda Masami
Название: Mathematical Thinking
ISBN: 9814350834 ISBN-13(EAN): 9789814350839
Издательство: World Scientific Publishing
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Цена: 15840.00 р.
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Описание: Developing mathematical thinking is one of major aims of mathematics education. This book describes three perspectives of mathematical thinking: Mathematical Attitude (Mind`s set), Mathematical Methods in General and Mathematical Ideas with Content and explains how to develop them in the classroom with illuminating examples.

Автор: Mancosu Paolo
Название: The Adventure of Reason: Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940
ISBN: 0198701519 ISBN-13(EAN): 9780198701514
Издательство: Oxford Academ
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Цена: 10771.00 р.
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Описание: Paolo Mancosu presents an innovative set of studies of logic and the foundations of mathematics in the first half of the twentieth century. He sheds new light on important topics such as the relationship between phenomenology and the exact sciences, the nature of truth and logical consequence, and the nature of mathematical intuition.