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 would neutralize each other, and if several deities existed they would be distinguished from each other by a specific difference.

First Argument.
The first argument is that of mutual neutralization, and is employed by the majority of the Mutakallemim. It is to the following effect: -- If the Universe had two Gods, it would necessarily occur that the atom -- subject to a combination with one or two opposite qualities-either remained without either of them, and that is impossible, or, though being only one atom, included both qualities at the same time, and that is likewise impossible. E.g., whilst one of the two deities determined that one atom or more should be warm, the other deity might determine that the same should be cold: the consequence of the mutual neutralization of the two divine beings would thus be that the atoms would be neither warm nor cold -- a contingency which is impossible, because all bodies must combine with one of two opposites; or they would be at the same time both warm and cold. Similarly, it might occur that whilst one of the deities desired that a body be in motion, the other might desire that it be at rest; the body would then be either without motion and rest, or would both move and rest at the same time. Proofs of this kind are founded on the atomic theory contained in the first proposition of the Mutakallemim, on the proposition which refers to the creation of the accidents, and on the proposition that negatives are properties of actual existence and require for their production an agens. For if it were assumed that the substance of this world which, according to the philosophers is subject to successive production and destruction, is different from the substance of the world above, viz., from the substance of the spheres -- a fact established by proof-and that as the Dualists assert, there are two divine beings, one of whom rules this world without influencing the spheres, whilst the other governs the world above without interfering with this world -- such theory would not involve the mutual neutralization of the two deities. If it were then objected, that the existence of two deities would necessitate an imperfection in both of them, in so far as one deity would be unable to influence the province of the other, the objection would be met by the reply that this inability need not be considered a defect in either of them: for that which is not included within the sphere of action of a being can of course not be performed by that being, and an agens is not deficient in power, if it is unable to perform what is intrinsically impossible. Thus we, Monotheists, do not consider it a defect in God, that He does not combine two opposites in one object, nor do we test His omnipotence by the accomplishment of any similar impossibility. When the Mutakallemim noticed the weakness of their argument, for which they had some apparent support, they had recourse to another argument.

Second Argument.
If there were two Gods, there would necessarily be some element common to both, whilst some element present in the one would be absent in the other, and constitute the specific difference between them. This is a philosophic and sound argument for those who are able to examine it, and to obtain a clear insight into its premises, which will be further explained, in our exposition