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Since Point and Plane represent in the realm of geometrical concepts what in outer nature we find in the form of the gravity-levity polarity, we may expect to meet Radius and Sphere as actual formative elements in nature, wherever gravity and levity interact in one way or another. A few observations may suffice to give the necessary evidence.
For earth-measuring has to do with the possibilities of the disposition of certain natural objects with respect to one another, namely, with parts of the earth, measuring-lines, measuring-wands, etc. It is clear that the system of concepts of axiomatic geometry alone cannot make any assertions as to the relations of real objects of this kind, which we will call practically-rigid bodies.
We might as well say that neither matter nor motion is an absolute entity in the universe, without some apprehensive intelligence, or rational intuition therein, to embrace them as distinct concepts or objects of thought; nor can either have the least conceivable attribute without some co-existing intelligence to ascribe it. For to ascribe an attribute, is to conceive or think of such attribute.
The extraordinary neolithic civilizations of the American continent that flourished before the coming of the Europeans, seem to have got along with concepts that involved pedantries and cruelties and a kind of systematic unreason, which find their closest parallels to-day in the art and writings of certain types of lunatic.
The finite mind cannot conceive of a state of being apart from motion, space or time, even though these concepts are crude in their relation to the state of consciousness to which the sum of all consciousness is tending, whether the individual would, or not.
But it insists that we must regard such an acceptance as merely provisional, must subject our concepts to a careful criticism, and must always be on our guard against hasty assumptions.
"We took up some fundamental concepts," said Anthony, a faint smile disturbing his pale cheeks, paler still under two days' growth of beard. Oblivious to his irony Muriel rehashed her contention. When she had done, Gloria said quietly: "Anthony's right. It's no fun to go around when you have the sense that people are looking at you in a certain way."
How can he apply his test if the world is already completed? Concepts for him are things to come back into experience with, things to make us look for differences. But by hypothesis there is to be no more experience and no possible differences can now be looked for. Both theories have shown all their consequences and, by the hypothesis we are adopting, these are identical.
A little child's notion of dog, or tree, or city in fact, all his psychological concepts necessitate the inductive movement, but it has taken place in his spontaneous thinking and the meanings have evolved after considerable experience without any definite control on his part. So with deduction.
All of the islands in the West Indies had a history of slave rebellion. Undoubtedly, the most outstanding slave revolt in the western hemisphere took place in Haiti. During the French revolution, concepts of the rights of man spread from France to her colonies. In Haiti, the free mulattoes petitioned the French revolutionary government for their rights. The Assembly granted their request.
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