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Updated: May 11, 2025
Crusius agrees with Rüdiger that mathematics is the science of the possible, and philosophy the science of the actual, and that the latter, instead of imitating to its own disadvantage the deductive-analytical method of geometry, must, with the aid of experience and with attention to the probability of its conclusions, rise to the highest principles synthetically.
Unless it is understood synthetically, however, a philosopher's description of the facts with which he has acquainted himself will be altogether unsatisfactory and misleading. It is in this way that Bergson's own analysis of the fact which we all know directly into matter and the act of memory by which matter is turned into a creative process should be understood.
It was then believed that a species of albumen might be manufactured synthetically, and as albumen is the organic basis of the cells, and as the human ovum is nothing but a cell, man himself might one day be manufactured on the chemist's table.
I have adopted in this work the method which I think most suitable, proceeding analytically from common knowledge to the determination of its ultimate principle, and again descending synthetically from the examination of this principle and its sources to the common knowledge in which we find it employed. The division will, therefore, be as follows: First section.
His method being that of the poet, and not that of the moralist or preacher, how shall he sort and sift, culling this virtue and that, giving parts and fragments instead of the entire man? He must give all, not abstractly, but concretely, synthetically. To a common prostitute Whitman says:
There are, in fact, two ways of seeing, to each of which corresponds a mode of painting. On the one hand, we may see distributively, holding objects as individuals each in our attention, neglecting light and space and air. Or else we may see synthetically, first the whole which light and space and air compose, and then individual things as bearers of these.
Dawn of the second day on Roald saw the vast plain crowded with men at work. The first community objective was the construction of an atmosphere station, and before the woman and children had finished lunch, they were breathing synthetically produced air.
Almost instantly we had developed a clear and detailed vision of a magazine made up of everything that was most acceptable in the magazines that flourished in the adult world about us, and had determined to make it a success. He had by a kind of instinct, as it were, synthetically plagiarised every successful magazine and breathed into this dusty mixture the breath of life.
Granted, then, that we must go out beyond a given conception, in order to compare it synthetically with another, a third thing is necessary, in which alone the synthesis of two conceptions can originate. Now what is this tertium quid that is to be the medium of all synthetical judgements?
He is an Aristotelian of the fifteenth century, born out of due season. We have here an elaborate treatise on Government, from which, but for two or three passing allusions, it would not appear that the author was aware that any governments actually existed among men. Certain propensities of human nature are assumed; and from these premises the whole science of politics is synthetically deduced!
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