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But manifestly, if spatial magnitude is to be taught intelligently, it must at first be taught independently of the number relation, which is a general system instrumental in the realisation of many concrete interests. From these considerations, certain general results follow.
Sure they know about the project do you think they're stupid? Warren over at Consolidated practically told me that he was onto our scheme. So get title to those moons. Since they're uninhabitable and within the planet's primary field they come under the Spatial Debris Act and you should be able to get Kardonian title without any great amount of trouble. Naturally we want them.
It appears less problematical to extend the ideas of practical geometry to spaces of cosmic order of magnitude. It might, of course, be objected that a construction composed of solid rods departs more and more from ideal rigidity in proportion as its spatial extent becomes greater. But it will hardly be possible, I think, to assign fundamental significance to this objection.
Other people will agree that the house which looks nearer to us is nearer; the ordnance map will take the same view; and thus everything points to a spatial relation between the houses corresponding to the relation between the sense-data which we see when we look at the houses.
The conclusion of the whole matter is that our principal spatial ideas are common alike to the blind and the vident. Both can be taught and are taught the same geometry. Both understand one another in the description of spatial conditions. The common element cannot possibly be supplied either by the data of visual sensation which the blind do not possess, or by the data of passive tactual sensation which the vident hardly ever employ. Une étendue commune se retrouverait
The more we conceive the universe as a spatial, self-contained system of things and processes, the more it excludes the presence of an agency which intervenes in it but is not really of it. So long as events can be explained as the effects of the natural working of things in nature, the assumption of a supernatural agent is unmotived.
Such a living concretion of similars succeeding one another in time, is the idea of a nature or quality, the universal falsely supposed to be an abstraction from physical objects, which in truth are conceived by putting together these very ideas into a spatial and permanent system. Here we have, if I am not mistaken, the origin of the two terms most prominent in human knowledge, ideas and things.
There is one point, however, at which we know more than mere phenomena, where of these three disturbing media only one, time-form, separates us from the thing in itself. This point is the consciousness of ourselves. On the one hand, I appear to myself as body. My body is a temporal, spatial, material object, an object like all others, and with them subject to the laws of objectivity.
What we observe here in the sphere of physical light-activity is exactly what the light-ether performs on a higher level of nature when with its help the spiritual archetype of a plant takes on spatial appearance. For to this end the archetype, itself without spatial limitations, imprints its image into the tiny seed, whence the growing plant organism carries it again into space.
Real Time, then, is a living reality, not discrete, not spatial in character an utter contrast to that fictitious Time with which so many thinkers have busied themselves, setting up "as concrete reality the distinct moments of a Time which they have reduced to powder, while the unity which enables us to call the grains 'powder' they hold to be much more artificial.