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Updated: May 6, 2025
We believe, and rightly, that no training is too good for our military and naval officers; that no discipline which will produce the appropriate habits and ideals and prejudices is too strenuous; that no individual sacrifice of comfort or ease is too costly. Equal or even commensurable efficiency in education can come only through a like process.
In the real world it is reasonable to suppose we deal at most with practically similar units and practically commensurable quantities. But there is a strong bias, a sort of labour-saving bias in the normal human mind to ignore this, and not only to speak but to think of a thousand bricks or a thousand sheep or a thousand sociologists as though they were all absolutely true to sample.
It is now understood that conceivably only in the subjective world, and in theory and the imagination, do we deal with identically similar units, and with absolutely commensurable quantities. In the real world it is reasonable to suppose we deal at most with PRACTICALLY similar units and PRACTICALLY commensurable quantities.
Kirkwood, in fact, showed, in 1867, that a body circulating in the chasm between the bright rings known as "Cassini's division," would have a period nearly commensurable with those of four out of the eight moons; and Meyer of Geneva subsequently calculated all such combinations, with the result of bringing out coincidences between regions of maximum perturbation and the limiting and dividing lines of the system.
It may be that they can neither be demonstrated nor made mechanically commensurable, but lie in the impenetrable mystery inherent in all life. Whether this mystery really exists, and whether religion has any particular interest in it if it does, must be considered in the following chapter. What is life—not in the spiritual and transcendental sense, but in its physical and physiological aspects?
Almost no asteroids, as he showed, revolve at such a distance from the sun that their periods of revolution are exactly commensurable with that of Jupiter. Originally there may have been many thus situated, but the attraction of the great planet has, in the course of time, swept those zones clean.
What we are speaking of are the deep impressions, which cannot properly be made commensurable at all, which may spring up directly out of an inward experience, an apprehension of nature, the world and history, in the depths of the spirit.
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