Philosophy of Mathematics and Natural Science

Front Cover
Princeton University Press, 2009 - Mathematics - 311 pages
3 Reviews

When mathematician Hermann Weyl decided to write a book on philosophy, he faced what he referred to as "conflicts of conscience"--the objective nature of science, he felt, did not mesh easily with the incredulous, uncertain nature of philosophy. Yet the two disciplines were already intertwined. In Philosophy of Mathematics and Natural Science, Weyl examines how advances in philosophy were led by scientific discoveries--the more humankind understood about the physical world, the more curious we became. The book is divided into two parts, one on mathematics and the other on the physical sciences. Drawing on work by Descartes, Galileo, Hume, Kant, Leibniz, and Newton, Weyl provides readers with a guide to understanding science through the lens of philosophy. This is a book that no one but Weyl could have written--and, indeed, no one has written anything quite like it since.


  

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Review: Philosophy of Mathematics and Natural Science

User Review  - GR Reader - Goodreads

One of my earliest memories is of hearing my great-grandma tell the story of how she met Frau Schrödinger at a rather wild party in Vienna in 1926. She asked her why she was carrying on with Weyl when ... Read full review

Review: Philosophy of Mathematics and Natural Science

User Review  - Jeff Kesner - Goodreads

You could only give this four stars if you use it like an encyclopaedia or a reference. If you do this, the historical significance of some of the ideas and philosophical points is not withered with the passage of time. Read full review

Contents

Mathematical Logic Axiomatics
3
Number and Continuum the Infinite
30
Geometry
67
Space and Time the Transcendental External
95
Methodology
139
Appendices
219
and Evolution
285
Index
303
Copyright

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About the author (2009)

Hermann Weyl (1885-1955) is regarded as one of the greatest mathematicians of the twentieth century. Born and educated in Germany, he taught at the Institute for Advanced Study in Princeton, New Jersey, from 1933 until his retirement in 1951. He published five books with Princeton University Press, including "Symmetry and The Classical Groups". Frank Wilczek is the Herman Feshbach Professor of Physics at Massachusetts Institute of Technology and the recipient of the 2004 Nobel Prize in Physics.

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