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Updated: May 29, 2025
It was to Torrijos that the poor Spaniards of Somers Town looked mainly, in their helplessness, for every species of help. Torrijos, it was hoped, would yet lead them into Spain and glorious victory there; meanwhile here in England, under defeat, he was their captain and sovereign in another painfully inverse sense. To whom, in extremity, everybody might apply.
It was not enough to prove that this relation between the two terms is suggested to us, at once, by consciousness and by sensible experience. It was necessary to prove that the geometrical order has no need of explanation, being purely and simply the suppression of the inverse order.
They were of all ages, from seven to fifteen, and their clothing was in an inverse ratio to their dirt very little of the former, and a great deal of the latter. They moved about with their bare feet in the most feline way, like the veritable Bedouin himself. There they were, however, over greasy slates and grimy copy-books, in process of civilization.
As they are gradually subjected to the associations to which they successively give rise, they are transformed into more vivid images, a vividness which is always in inverse proportion to the attention.
It is known to physical science as the "law of inverse squares," by which the forces of reciprocal attraction or repulsion, as the case may be, are not merely equivalent to the sum of the forces emitted by the two bodies concerned, but are equivalent to these two forces multiplied together and divided by the square of the distance between them, so that the resultant power continually rises in a rapidly-increasing ratio as the two reciprocally exciting bodies approach one another.
The tendency of the moon toward the earth being ascertained to vary as the inverse square of the distance, it was deduced from this, by direct calculation, that if the moon were as near to the earth as terrestrial objects are, and the acquired force in the direction of the tangent were suspended, the moon would fall toward the earth through exactly as many feet in a second as those objects do by virtue of their weight.
He found that the angular velocities of Mars at its nearest and farthest distances from the sun were in inverse proportion to the squares of the corresponding distances. This law, deduced, was the immediate path to the law of orbital ellipticity.
The method followed to find a genuine solution must be inverse; not dialectic combination of pre-existing concepts, but, setting out from a direct and really lived intuition, a descent to ever new concepts along dynamic schemes which remain open.
The dogma of providence in God is shown to be false, both in fact and in right. It is easy now to see how the same reasoning turns against the system of the deification of man. Man necessarily positing God as absolute and infinite in his attributes, whereas he himself develops in a direction the inverse of this ideal, there is discord between the progress of man and what man conceives as God.
For with a logic which does us questionable credit, we are proud of our ancestors in direct proportion to their remoteness from ourselves, thus permitting Democracy to revenge its insignificance by smiling at our self-imposed satire. To esteem a man in inverse ratio to the amount of remarkable blood he has inherited is, to say the least, bathetic.
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