The necessity of a first cause being shown, and it being evident that therefore this cause is uncreated and self-existent, and independent of any other, the conclusion is next drawn that its power must be infinite. This is shown by the consideration that there is no other antecedent cause, and no other principle which was not created by the first cause, and consequently which was not of inferior power; therefore, there is nothing which can limit the power of the first cause; and there being no limiter or restrainer, there can be no limitation or restriction.

Again, the infinity of the Deity’s power is attempted to be proved in another way.

The Fallen Star; and, A Dissertation on the Origin of Evil — Part 40

The number of possible things is infinite; but every possibility implies a power to do the possible thing; and as one possible thing implies a power to do it, an infinite number of possible things implies an infinite power. Or as Descartes and his followers put it, we can have no idea of anything that has not either an actual or a possible existence; but we have an idea of a Being of infinite perfection; therefore, he must actually exist; for otherwise there would be one perfection wanting, and so he would not be infinite, which he either is actually or possibly. It is needless to remark that this whole argument, whatever may be said of the former one, is a pure fallacy, and a _petitio principii_ throughout. The Cartesian form of it is the most glaringly fallacious, and indeed exposes itself; for by that reasoning we might prove the existence of a fiery dragon or any other phantom of the brain. But even King’s more concealed sophism is equally absurd. What ground is there for saying that the number of possible things is infinite? He adds, “at least in power,” which means either nothing or only that we have the power of conceiving an infinite number of possibilities. But because we can conceive or fancy an infinity of possibilities, does it follow that there actually exists this infinity? The whole argument is unworthy of a moment’s consideration. The other is more plausible, that restriction implies a restraining power. But even this is not satisfactory when closely examined. For although the first cause must be self-existent and of eternal duration, we only are driven by the necessity of supposing a cause whereon all the argument rests, to suppose one capable of causing all that actually exists; and, therefore, to extend this inference and suppose that the cause is of infinite power seems gratuitous. Nor is it necessary to suppose another power limiting its efficacy, if we do not find it necessary to suppose its own constitution and essence such as we term infinitely powerful. However, after noticing this manifest defect in the fundamental part of the argument, that which infers infinite power, let us for the present assume the position to be proved either by these or by any other reasons, and see if the structure raised upon it is such as can stand the test of examination.

The Fallen Star; and, A Dissertation on the Origin of Evil — Part 40