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The law of contiguity Post Date: Sun, 3 Aug 2008 17:09:42 +0000
This direction is metaphysically necessary, if we suppose that there is no distance where there is no body. For, if this be so, two bodies cannot exist separated. The law of contiguity is a metaphysical necessity, and therefore the incessant approaching of some bodies to others is a continual obedience to this necessity.
Autor of the post: Undefined
As the solid masses Post Date: Sun, 3 Aug 2008 17:22:46 +0000
The velocity with which they approach must be in the ratio of the velocity with which the medium departs. The limit of the velocity of this motion is the relation of space with an indivisible instant, such as we might suppose if God should suddenly annihilate the intervening body. As the solid masses which revolve above our heads would in this case be submerged in a fluid, supposing this fluid to be of such nature as easily to change its place, it follows that the stars must be subject to the law of approximation, because the medium which separates them is continually retiring in various directions.
Autor of the post: Undefined
Although it is easy Post Date: Sun, 3 Aug 2008 17:32:50 +0000
If we suppose this fluid to be immovable, the metaphysical necessity of this approx imation ceases. This theory seems to lead to the explanation of the mechanism of the universe, by simple geometrical laws, and destroys what some have called occult properties, and others forces. Although it is easy to explain by metaphysical and geo metrical ideas, the fact of gravitation, or the mere tendency of bodies mutually to approach, it is still very difficult to determine by this order of ideas the conditions which govern gravitation.
Autor of the post: Undefined
92 Besides this difficulty there Post Date: Sun, 3 Aug 2008 17:44:27 +0000
91 If the motion of approximation depended only on the intervening body, inequality of these bodies would pro duce unequal motions. It is impossible to calculate the degree of this inequality in bodies which are not subject to our observation. 92 Besides this difficulty there is another still greater, which is, that bodies which move in a medium have no fixed direction, but vary their motions with the varia tions of the medium.
Autor of the post: Undefined
93 From these considerations, it Post Date: Sun, 3 Aug 2008 18:00:57 +0000
If the gravitation of the body A towards the body B, depends only on the motion of the retiring medium, the gravitation will not be in the right line AB, but will follow the undulations described by the medium. This is contrary to experience. 93 From these considerations, it follows that even though the gravitation naturally arises from the position of the bodies, still this necessity would not produce the order which exists, if its results were not subject to certain laws.
Autor of the post: Undefined
Whenever one body moves, it Post Date: Sun, 3 Aug 2008 18:11:47 +0000
And, therefore, the phenomena of nature, although founded on a necessity, would still, admitting the existence and position of bodies, be contingent in all that relates to the application of this necessity. 94 Going still deeper into this matter, we find that the tendency to approximation, although necessary, is not suf ficient either to produce motion or to preserve it. Whenever one body moves, it is always necessary that another should follow it, in order to preserve the conti guity ; but, there being no vacuum, there is no reason why any body should move, and consequently, no cause of motion.
Autor of the post: Undefined
At any instant whatever, if Post Date: Sun, 3 Aug 2008 18:23:21 +0000
Therefore, geometrical ideas are not sufficient to explain the origin of motion, but we must look for its cause else where. Contiguity being a metaphysical necessity, if the body A moves in any direction, the contiguous bodies B and C must also move ; bat if the contiguity already ex isted, there is no reason why the body A should begin to move, nor, consequently, why the bodies B and C should follow its motion. At any instant whatever, if we suppose motion, we must suppose contiguity ; for the state of the question supposes this condition always present, as being metaphysically necessary.
Autor of the post: Undefined
Now, if the motion Post Date: Sun, 3 Aug 2008 18:34:42 +0000
There is then no reason why the motion should at any time be prolonged ; for the bodies being at every instant contiguous there is no reason for its continuation. The motion of the body A draws with it the body B ; B draws C, and so on. Now, if the motion of the body B has no other origin than its contiguity to A, the motion of C has no other origin than its contiguity to B.
Autor of the post: Undefined
Under any supposition it Post Date: Sun, 3 Aug 2008 18:44:57 +0000
The cause of the motion is only not to interrupt the contiguity ; this contiguity always existing as is absolutely necessary, there is no reason why the motion should begin, or after it has begun, why it should continue. 95 The laws of nature cannot then be explained by geo metrical and metaphysical ideas, although we suppose ap proximation to be an intrinsical necessity of bodies. Under any supposition it is necessary to seek out of matter a superior cause which impresses, regulates, and continues motion.
Autor of the post: Undefined
Because there are certain immovable Post Date: Sun, 3 Aug 2008 18:58:20 +0000
96 SINCE space is only the extension of bodies, and there is no space where there are no bodies, it follows that the extension which we conceive distinct from bodies, with fixed points and dimensions, immovable in itself, and the receptacle of all that is movable, is a pure illusion, and there is nothing in reality corresponding to it. In order to explain this doctrine and at the same time to solve certain objections which may be made, it will not be out of place to analyze the idea which we form of fixedness in relation to space. Because there are certain immovable points in the world in relation to which we conceive direc tions, we form the idea that these points are fixed, and in relation to them and because of them we imagine fixedness, immobility, as one of the properties which distinguish this ideal receptacle which we call space.
Autor of the post: Undefined
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