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Mathematics and Philosophy
Daniel Parrochia
出版
John Wiley & Sons
, 2018-07-24
主題
Philosophy / General
ISBN
1786302098
9781786302090
URL
http://books.google.com.hk/books?id=0JFeDwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
This book, which studies the links between mathematics and philosophy, highlights a reversal. Initially, the (Greek) philosophers were also mathematicians (geometers). Their vision of the world stemmed from their research in this field (rational and irrational numbers, problem of duplicating the cube, trisection of the angle...). Subsequently, mathematicians freed themselves from philosophy (with Analysis, differential Calculus, Algebra, Topology, etc.), but their researches continued to inspire philosophers (Descartes, Leibniz, Hegel, Husserl, etc.). However, from a certain level of complexity, the mathematicians themselves became philosophers (a movement that begins with Wronsky and Clifford, and continues until Grothendieck).