- Whether it is possible, by a miracle, for two bodies to be in the same place?
Whether it is possible, by a miracle, for two bodies to be in the same place?
Objections
❌ Objection 1 : It would seem that not even by a miracle is it possible for two bodies to be in the same place. For it is not possible that, by a miracle, two bodies be at once two and one, since this would imply that contradictions are true at the same time. But if we suppose two bodies to be in the same place, it would follow that those two bodies are one. Therefore this cannot be done by a miracle. The minor is proved thus. Suppose two bodies A and B to be in the same place. The dimensions of A will either be the same as the dimensions of the place, or they will differ from them. If they differ, then some of the dimensions will be separate: which is impossible, since the dimensions that are within the bounds of a place are not in a subject unless they be in a placed body. If they be the same, then for the same reason the dimensions of B will be the same as the dimensions of the place. "Now things that are the same with one and the same thing are the same with one another." Therefore the dimensions of A and B are the same. But two bodies cannot have identical dimensions just as they cannot have the same whiteness. Therefore A and B are one body and yet they were two. Therefore they are at the same time one and two.
❌ Objection 2 : Further, a thing cannot be done miraculously either against the common principles---for instance that the part be not less than the whole; since what is contrary to common principles implies a direct contradiction---or contrary to the conclusions of geometry which are infallible deductions from common principles---for instance that the three angles of a triangle should not be equal to two right angles. In like manner nothing can be done to a line that is contrary to the definition of a line, because to sever the definition from the defined is to make two contradictories true at the same time. Now it is contrary to common principles, both to the conclusions of geometry and to the definition of a line, for two bodies to be in the same place. Therefore this cannot be done by a miracle. The minor is proved as follows: It is a conclusion of geometry that two circles touch one another only at a point. Now if two circular bodies were in the same place, the two circles described in them would touch one another as a whole. Again it is contrary to the definition of a line that there be more than one straight line between two points: yet this would be the case were two bodies in the same place, since between two given points in the various surfaces of the place, there would be two straight lines corresponding to the two bodies in that place.
❌ Objection 3 : Further, it would seem impossible that by a miracle a body which is enclosed within another should not be in a place, for then it would have a common and not a proper place, and this is impossible. Yet this would follow if two bodies were in the same place. Therefore this cannot be done by a miracle. The minor is proved thus. Supposing two bodies to be in the same place, the one being greater than the other as to every dimension, the lesser body will be enclosed in the greater, and the place occupied by the greater body will be its common place; while it will have no proper place, because no given surface of the body will contain it, and this is essential to place. Therefore it will not have a proper place.
❌ Objection 4 : Further, place corresponds in proportion to the thing placed. Now it can never happen by a miracle that the same body is at the same time in different places, except by some kind of transformation, as in the Sacrament of the Altar. Therefore it can nowise happen by a miracle that two bodies be together in the same place.