Mathematics and Philosophy 1st Edition by Daniel Parrochia 1786302098 9781786302090

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Product details:

ISBN 10: 1786302098 

ISBN 13: 9781786302090

Author: Daniel Parrochia

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).

Table of contents:

Part 1: The Contribution of Mathematician–Philosophers

1.Irrational Quantities

2.All About the Doubling of the Cube

3.Quadratures, Trigonometry and Transcendance

Part 2: Mathematics Becomes More Powerful
4. Exploring Mathesis in the 17th Century
5. The Question of Infinitesimals
6. Complexes, Logarithms and Exponentials

Part 3: Significant Advances
7. Chance, Probability and Metaphysics
8. The Geometric Revolution
9. Fundamental Sets and Structures

Part 4: The Advent of Mathematician-Philosophers
10. The Rise of Algebra
11. Topology and Differential Geometry
12. Mathematical Research and Philosophy

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Tags: Daniel Parrochia, Mathematics, Philosophy