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Updated: May 5, 2025
The empire of Trajan and Marcus Aurelius still remained the greatest known example of political aggregation; and men who argued from simple historic precedent without that power of analyzing precedents which the comparative method has supplied, came not unnaturally to the conclusions that great political aggregates have an inherent tendency towards breaking up, and that great political aggregates cannot be maintained except by a strongly- centralized administration and at the sacrifice of local self- government.
So long as the implements of production were small and simple, and such that each could be used by one man or family, the divorce between the labourer and his implements was not easy to accomplish; but in proportion as these simple implements were developed into the aggregated mechanisms of the factory, each of which aggregates was used in common by hundreds and even by thousands of labourers, the link between the implement and the user was broken by an automatic process; for a single organised mechanism used by a thousand men could not, in the nature of things, be owned by each one of the thousand individually, and collective ownership by all of them was an idea as yet unborn.
The unities of each organ are so many little organs, homogeneous with their compound; the unities of the tongue are little tongues; those of the stomach, little stomachs; those of the heart are little hearts. This fruitful idea furnishes a key to every secret. What was too small for the eye to detect was read by the aggregates; what was too large, by the units.
Few are aware how the great literature penetrates all, gives hue to all, shapes aggregates and individuals, and, after subtle ways, with irresistible power, constructs, sustains, demolishes at will. Why tower, in reminiscence, above all the nations of the earth, two special lands, petty in themselves, yet inexpressibly gigantic, beautiful, columnar?
But the internal heat acquired by a planet while forming in this manner will depend upon the rate at which it aggregates and the velocity with which the planetismals' fall into it, and this velocity will increase with its mass and consequent force of gravity.
Each of these events occupies its own aggregate of event-particles. These aggregates will have a common portion, namely the class of event-particle lying in all of them. This class of event-particles is what I call the 'station' of the event-particle P in the duration d. This is the station in the character of a locus. A station can also be defined in the character of an abstractive element.
He expects to have his daughters educated in America, one in medicine and one in home affairs, and to have help in a campaign for changing the character of the Chinese home from these big aggregates of fifty people or so living together, married children, servants, etc., where he says the waste is enormous, to say nothing of bickerings and jealousies.
In China, however, a gigantic river and canal system, laced across plains of extraordinary fertility, has permitted the growth of several city aggregates with populations exceeding a million, and in the case of the Hankow trinity of cities exceeding five million people.
And as we want to know how many such groups there are, the additional qualification 'five' intimates that there are five such groups; just as if it were said 'five five-bundles, i. e. five aggregates consisting of five bundles each. We thus understand that the 'five five-people' are twenty- five things, and as the mantra in which the term is met with refers to final release, we recognise the twenty-five categories known from the Sankhya-smriti which are here referred to as objects to be known by persons desirous of release.
The one represents mere crystallizable matter, the other the more complex colloidal or albuminoid substance, or that capable of producing a much greater number of aggregates. The analogies, they concede, end here. But the difference is world-wide when we come to processes the true experimental test in all classification. Crystallizable substances crystallize that is all.
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