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On comprehensiveness of outlook, and minute, patient analysis: | |||
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|text=Since Leibniz, I do not know of any philosopher who has possessed both: broadly speaking, British philosophers have excelled in analysis, while those of the Continent have excelled in breath and scope. In this respect, Poincare is no exception: in philosophy, his mind was intuitive and synthetic; wonderfully skillful, it is true, in analysing a science until he had extracted its philosophical essence, and in combining this essence with those of other sciences, but not very apt in those further stages of analysis which fall within the domain of philosophy itself. He built edifices with the philosophic materials that he found ready to hand, but '''he lacked the patience and the minuteness of attention required for the creation of new materials.''' | |||
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Revision as of 02:31, 20 August 2022
Poincare, Henri; Maitland, Francis (2007). Combinatorial Physics. local page: New York : Cosimo Classics, ©. ISBN 9781602064485.
Preface
Henri Poincare was, by general agreement, the most eminent scientific man of his generation -- more eminent, one is tempted to think, than any man of science now living.
On comprehensiveness of outlook, and minute, patient analysis:
Since Leibniz, I do not know of any philosopher who has possessed both: broadly speaking, British philosophers have excelled in analysis, while those of the Continent have excelled in breath and scope. In this respect, Poincare is no exception: in philosophy, his mind was intuitive and synthetic; wonderfully skillful, it is true, in analysing a science until he had extracted its philosophical essence, and in combining this essence with those of other sciences, but not very apt in those further stages of analysis which fall within the domain of philosophy itself. He built edifices with the philosophic materials that he found ready to hand, but he lacked the patience and the minuteness of attention required for the creation of new materials.
In the last paragraph of this Preface.
To be always right is no possible in philosophy; but Poincare's opinions, right or wrong, are always the expression of a powerful and original mind with a quite unrivaled scientific equipment; a masterly style, great wit, and a profound devotion to the advancement of knowledge. Through these merits, hs books supply, better than any others known to me, the growing need for a generally intelligible account of the philosophic outcome of modern science.
— Bertrand Russell
Introduction
The scientific method consists in observation and experiment. If the scientist had an unfinity of time at this disposal, it would be sufficient to say to him, "Look , and look carefully." But, since he has not time to look at everything, and above all to look carefully, and since it is better not to look at all than to look carelessly, he is forced to make a selection.
I. The Scientist and Science
The Selection of Facts
Talking to Yuan Xun on the subject matter of collision detection, I realized that the mechanism of collision detection is relevant to the notion of selecting relevant content or paging of content. The paging structure of content can be thought of as a Bounding volume hierarchy.
The Future of Mathematics
Mathematical Discovery
Chance
II. The Scientist and Science
The Relativity of Space
Mathematical Definitions and Education
Mathematics and Logic
The New Logics
The Last Efforts of The Logisticians
III. The Scientist and Science
Mechanics and Radium
Mechanics and Optics
The new Mechanics and Astronomy
IV. Astronomical Science
The Milky Way and the Theory of Gases
French Geodesy
General Conclusions
References
Related Pages
Authored by:Henri Poincare