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Updated: May 8, 2025


Is there any evidence whatever that we are shut up, for all our immediate knowledge, to such a "now"? There is none whatever. The fact is that this timeless "now" is a product of reflective thought and not a something of which we are directly conscious. It is an ideal point in the real time of which this chapter has treated, the time that is in a certain sense infinitely divisible.

The divisibility of a body rests upon the divisibility of space, which is the condition of the possibility of the body as an extended whole. A body is consequently divisible to infinity, though it does not, for that reason, consist of an infinite number of parts.

It never struck me that David was remarkably hasty, when he said that all men were liars. All men are liars, in one respect or another. They are divisible into various classes, which may legitimately be mentioned under two heads, viz., unconscious liars and conscious liars. Of those who lie, and suppose they are telling the truth, I have already spoken.

For example, when it is said 'the change of motion is proportional to the impressed force, or that 'whatever has extension is divisible, these propositions are to be understood of motion and extension in general; and nevertheless it will not follow that they suggest to my thoughts an idea of motion without a body moved, or any determinate direction and velocity, or that I must conceive an abstract general idea of extension, which is neither line, surface, nor solid, neither great nor small, black, white, nor red, nor of any other determinate colour.

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.

It has often been maintained in the schools, that extension must be divisible, in infinitum, because the system of mathematical points is absurd; and that system is absurd, because a mathematical point is a non-entity, and consequently can never by its conjunction with others form a real existence.

Every time the oracle is consulted for a definite statement as regards physics or chemistry we get nothing as regards physics but the equation which expresses the mechanical equivalent of heat, and concerning chemistry only this that all bodies are divisible into elements and combinations of elements.

This only means that the visual or tactual point of the single experience may stand for, may represent, what is not a mere point but has parts, and is, hence, divisible. Who can set a limit to such possible substitutions? in other words, who can set a limit to the divisibility of a real line? It is only when we confuse the single experience with the real line that we fall into absurdities.

Employed in this sense, zoology, like botany, is divisible into three great but subordinate sciences, morphology, physiology, and distribution, each of which may, to a very great extent, be studied independently of the other. Zoological morphology is the doctrine of animal form or structure.

Leaving out of view the Will, which is a simple homogeneous mental state, forming the link between feeling and action, and not admitting of subdivisions; our states of consciousness fall into two great classes COGNITIONS and FEELINGS. COGNITIONS, or those modes of mind in which we are occupied with the relations that subsist among our feelings, are divisible into four great sub-classes.

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