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May fanaticism and religious bigotry be unknown, all humanity enter the bond of brotherhood, souls consort in perfect agreement, the nations of earth at last hoist the banner of truth, and the religions of the world enter the divine temple of oneness, for the foundations of the heavenly religions are one reality. Reality is not divisible; it does not admit multiplicity.
Our minute is, by hypothesis, infinitely divisible; it is composed of parts, and those parts of other parts, and so on without end. We cannot by subdivision come to any part which is itself not composed of smaller parts. The partless thing that passed, then, is no part of the minute. That is all still waiting at the gate, and no member of its troop can prove that it has a right to lead the rest.
Yet it cannot be denied that some of the most recently formed fossils show a structure singularly more generalized than any exhibited by older forms; while others are more specialized than are any allied creatures of the existing creation. Now hoofed animals are divisible into two very distinct series, according as the number of functional toes on each hind foot is odd or even.
A period, or sentence, in music, comprises a musical idea, complete in itself, though of a nature to produce, when united with other harmonious ideas, a perfect whole. A simple melody is usually composed of eight measures, or some number divisible by four. There are exceptions, as in "God Save the King," our "America," of which the first part contains six measures, the second part eight.
If we analyse our conceptions of Time and Space we seem forced to postulate that they are both infinitely divisible and infinitely extensible; they are both what is called continuous and not discrete, we cannot conceive any minimum in their division; both duration in Time and extension in Space can be reduced, as it were, to a mathematical point; nor can we conceive any maximum in either duration or extension.
At this stage of thought experience is pictured as a line of indefinite length, infinitely divisible, whose divisions correspond to the moments of consciousness. This spatial picture of mind is misleading in many ways, not the least in that it can offer no reasonable theory of the subconscious. Thinkers who materialise mental experience have no room in their theory for the sub-conscious.
If there be any result which has come more clearly out of geological investigation than another, it is, that the vast series of extinct animals and plants is not divisible, as it was once supposed to be, into distinct groups, separated by sharply marked boundaries.
We are not, however, entitled to affirm of a whole of this kind, which is divisible in infinitum, that it consists of an infinite number of parts. For, although all the parts are contained in the intuition of the whole, the whole division is not contained therein.
These matters are not only of interest to the geologist, but are of the utmost importance to the life of mankind, as well as all the lower creatures which dwell upon the lands. First, we should note that soils are divisible into three great groups, which, though not sharply parted from each other, are sufficiently peculiar for the purposes of classification.
It is fortunate, too, for the purpose of comparing Shakspere's earliest and latest opinions, that the characters of "The Tempest" are divisible into the same groups as those of "The Dream." The gross canaille are represented, but now no longer the most accurate in colour and most absorbing in interest of the characters of the play, or unessential to the evolution of the plot.
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