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In this solid and tridimensional sense, so to call it, those philosophers are right who contend that the world is a standing thing, with no progress, no real history. The changing conditions of history touch only the surface of the show. The altered equilibriums and redistributions only diversify our opportunities and open chances to us for new ideals.
This force constantly operating constrains the organism to be in constant contact with the earth on which we live. But, further, it gives us the definite idea of Direction. It is from the action of gravity that we derive our distinction between Up and Down from which as a starting-point we build up our conception of tridimensional Space.
And in this respect it must be remembered that as the areas of spheres are proportional to the squares of their radii it necessarily follows that gravity if it acts uniformly in tridimensional Space must vary in intensity in proportion to the square of the distance of the point of application from the centre of origin. Gravity and tridimensionality are in short necessarily connected.
In truth he never gets behind the postulate of an all-enveloping tridimensional world; so that he throughout assumes Space as a datum, and his inquiry is an effort to rediscover Space where he has already placed it. Let us, however, consider for a moment what can be meant by a sensation of Space. Does it not look very like a contradiction in terms?
But the cogitant subject was reduced very much to the condition of a tabula rasa, and when Descartes proceeded to fill up the blank with a rediscovery on more scientific lines of the essentials of Cognition he found his basal feature in Extension. Tridimensional Space seemed the simple elementary framework of our Knowledge of Nature.
There may be many different forms of energetic transmutation which may determine many other forms of space besides that form of tridimensional space in which our Activity is involved. For such, a different geometry may and will be applicable; but for the tridimensional conditions of our activity the proposition is necessary and absolute.
The structural dualism of the human body, its right and left, its front and back, etc., furnish our activity with a set of constant forms to which its action must conform, and which necessarily also partake of, and help us to conceive of tridimensional form.
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