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Updated: May 29, 2025


Cuvier maintained that instinct and intelligence stand in an inverse ratio to each other; and some have thought that the intellectual faculties of the higher animals have been gradually developed from their instincts. Those insects which possess the most wonderful instincts are certainly the most intelligent.

It would appear that his object was to make it the inverse of his novels, where everything is borrowed from history.

Yet it is simplicity itself, and this is the secret. When the Swastika is drawn on the piece of tile, the performer in placing it on the ground to be trodden upon, puts his thumb on the drawing, and thereby gets an inverse print of it on the ball of his thumb. The tile is powdered and the hand held palm upwards over it.

By-the-bye, what is the integral calculus?" "It is the inverse of the differential calculus," answered Barbicane seriously. "Much obliged." "To speak otherwise, it is a calculus by which you seek finished quantities of what you know the differential quantities." "That is clear at least," answered Barbicane with a quite satisfied air.

We may here introduce an illustration or two of this mode of procedure: THEORIES OF GRAVITATION AND PHLOGISTON. Newton, suspecting that the influence of the earth's attraction, gravity, may extend as far as the moon, and be the force that causes her to revolve in her orbit round the earth, calculated that, by her motion in her orbit, she was deflected from the tangent thirteen feet every minute; but, by ascertaining the space through which bodies would fall in one minute at the earth's surface, and supposing it to be diminished in the ratio of the inverse square, it appeared that the attraction at the moon's orbit would draw a body through more than fifteen feet.

I talk upon racial qualities to all men who have had opportunities of close observation, and I find that their insistence upon these differences is usually in inverse proportion to their intelligence. It may be the chance of my encounters, but that is my clear impression.

After these come the women-folk in order of precedence, carrying loads in inverse ratio thereto.

This factor we meet again in the next phase of our subject, the education and training of children. Though the number of children has conspicuously decreased, the care and attention given them has increased in inverse proportion. The woman with six children or more turned over the younger children to the older ones, so that her burden, though heavy, was much less than it may seem.

In tragedy the theme in itself does great things; in comedy the object does nothing and the poet all. Now, as in the judgments of taste no account must be kept of the matter treated of, it follows naturally that the aesthetic value of these two kinds will be in an inverse ratio to the proper importance of their themes.

As the smallest grain of dust is bound up with our entire solar system, drawn along with it in that undivided movement of descent which is materiality itself, so all organized beings, from the humblest to the highest, from the first origins of life to the time in which we are, and in all places as in all times, do but evidence a single impulsion, the inverse of the movement of matter, and in itself indivisible.

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