COSMOS, VOL. II - World eBook Library

COSMOS, VOL. II - World eBook Library COSMOS, VOL. II - World eBook Library

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CELESTIAL SPACES. 737 discoveries by means of the Calculus. Intellectual labour invention of the Infinitesimal shows itself in all its exalted grandeur, where, instead of requiring external material means, it derives its light exclusively from the sources opened to pure abstraction, by the mathematical development of thought. There dwells an irresistible charm, venerated by all antiquity, in the contemplation of mathematical truths, in the everlasting revelations of time and space, as they reveal themselves in tones, numbers, and lines.* The im- provement of an intellectual instrument of research analysis lias powerfully accelerated the reciprocal fructification of ideas, which is no less important than the rich abundance of their creations. It has opened to the physical contemplation of the universe new spheres of immeasurable extent, in the ter- restrial and celestial regions of space, revealed both in the periodic fluctuations of the ocean, and in the varying perturbations of the planets. * Willielm von Humboldt, Cfesammefo Werlce, Bd. i. s. 11.

738 RETROSPECT OF THE EPOCHS THAT HAVE BEEN SUC- SESSIVELY CONSIDERED. INFLUENCE OF EXTERNAL OCCURRENCES ON THE DEVELOPMENT OF THE RECOG- NITION OF THE UNIVERSE AS ONE WHOLE. MULTI- PLICITY AND INTIMATE CONNECTION OF THE SCIEN- TIFIC EFFORTS OF RECENT TIMES. THE HISTORY OF THE PHYSICAL SCIENCES BECOMES GRADUALLY ASSO- CIATED WITH THE HISTORY OF THE COSMOS. I APPROACH the termination of my bold and difficult undertaking. Upwards of two thousand years have been passed in review before us, from the early stages of civilisation amongst the nations who dwelt around the basin of the Mediterranean and the fruitful river valleys of Western Asia, to the beginning of the last century, to a period, therefore, at which general views and feelings were already beginning to blend with those of our own age. I have endeavoured, in seven sharply-defined sections, forming, as it were, a series of as many separate pictures, to present a history of the physical contemplation of the universe, or in other words, the history of the gradual development of the knowledge of the universe as a \vhole. To what extent success may have attended the attempt to apprehend the mass of accumulated matter, to seize on the character of the principal epochs, and to indicate the paths on which ideas and civilisation have been advanced, cannot be determined by him, who with a just mistrust of his remaining powers, is alone conscious that the image of so great an undertaking has been present to his mind in clear though general outlines. At the commencement of our consideration of the period of the Arabs, and in beginning to describe the powerful influence exercised by the admixture of a foreign element in European ciA7 ilisation, I indicated the limits beyond which the history of the Cosmos coincides with that of the physical sciences. According to my idea, the historical recognition of the gradual extension of natural science in the two spheres of terrestrial and celestial knowledge (geography and astronomy), is associated with certain periods and certain active

738<br />

RETROSPECT OF THE EPOCHS THAT HAVE BEEN SUC-<br />

SESSIVELY CONSIDERED. INFLUENCE OF EXTERNAL<br />

OCCURRENCES ON THE DEVELOPMENT OF THE RECOG-<br />

NITION OF THE UNIVERSE AS ONE WHOLE. MULTI-<br />

PLICITY AND INTIMATE CONNECTION OF THE SCIEN-<br />

TIFIC EFFORTS OF RECENT TIMES. THE HISTORY OF<br />

THE PHYSICAL SCIENCES BECOMES GRADUALLY ASSO-<br />

CIATED WITH THE HISTORY OF THE <strong>COSMOS</strong>.<br />

I APPROACH the termination of my bold and difficult undertaking.<br />

Upwards of two thousand years have been passed in<br />

review before us, from the early stages of civilisation amongst<br />

the nations who dwelt around the basin of the Mediterranean<br />

and the fruitful river valleys of Western Asia, to the beginning<br />

of the last century, to a period, therefore, at which<br />

general views and feelings were already beginning to blend<br />

with those of our own age. I have endeavoured, in seven<br />

sharply-defined sections, forming, as it were, a series of as<br />

many separate pictures, to present a history of the physical<br />

contemplation of the universe, or in other words, the history<br />

of the gradual development of the knowledge of the universe<br />

as a \vhole. To what extent success may have attended the<br />

attempt to apprehend the mass of accumulated matter, to<br />

seize on the character of the principal epochs, and to indicate<br />

the paths on which ideas and civilisation have been advanced,<br />

cannot be determined by him, who with a just mistrust of<br />

his remaining powers, is alone conscious that the image of so<br />

great an undertaking has been present to his mind in clear<br />

though general outlines.<br />

At the commencement of our consideration of the period of<br />

the Arabs, and in beginning to describe the powerful influence<br />

exercised by the admixture of a foreign element in<br />

European ciA7 ilisation, I indicated the limits beyond which<br />

the history of the Cosmos coincides with that of the physical<br />

sciences. According to my idea, the historical recognition of<br />

the gradual extension of natural science in the two spheres of<br />

terrestrial and celestial knowledge (geography and astronomy),<br />

is associated with certain periods and certain active

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