Mysticism and Logic: And Other Essays

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Longmans, Green and Company, 1919 - Mathematics - 234 pages
 

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Contents

I
1
II
33
III
46
IV
58
V
74
VI
97
VII
125
VIII
145
IX
180
X
209

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Page 48 - ... devotion, all the inspiration, all the noonday brightness of human genius, are destined to extinction in the vast death of the solar system, and that the whole temple of Man's achievement must inevitably be buried beneath the debris of a universe in ruins — all these things if not quite beyond dispute, are yet so nearly certain, that no philosophy which rejects them can hope to stand. Only within the scaffolding of these truths, only on the firm foundation of unyielding despair, can the soul's...
Page 219 - Every proposition which we can understand must be composed wholly of constituents with which we are acquainted.
Page 57 - ... his little day ; disdaining the coward terrors of the slave of Fate, to worship at the shrine that his own hands have built ; undismayed by the empire of chance, to preserve a mind free from the wanton tyranny that rules his outward life ; proudly defiant of the irresistible forces that tolerate, for a moment, his knowledge and his condemnation, to sustain alone, a weary but unyielding Atlas, the world that his own ideals have fashioned despite the trampling march of unconscious power.
Page 235 - This book is a preservation photocopy. It is made in compliance with copyright law and produced on acid-free archival 60# book weight paper which meets the requirements of ANSI/NISO Z39.48-1992 (permanence of paper) Preservation photocopying and binding by Acme Bookbinding...
Page 14 - By intuition is meant the kind of intellectual sympathy by which one places oneself within an object in order to coincide with what is unique in it and consequently inexpressible.
Page 60 - Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.
Page 47 - That Man is the product of causes which had no prevision of the end they were achieving; that his origin, his growth, his hopes and fears, his loves and his beliefs, are but the outcome of accidental collocations of atoms...
Page 185 - The Law of Causation, the recognition of which is the main pillar of inductive science, is but the familiar truth that invariability of succession is found by observation to obtain between every fact in nature and some other fact which has preceded It...
Page 3 - To God all things are fair and good and right, but men hold some things wrong and some right.
Page 37 - Elementary education — reading, writing and arithmetic — is almost wholly of this kind. But instruction, necessary as it is, does not per se constitute education in the sense in which I wish to consider it. Education, in the sense in which I mean it, may be defined as the formation, by means of instruction, of certain mental habits and a certain outlook on life and the world.

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