Division 3.—The simple sole being of infinity of expansion and of duration, who is all-knowing, all-powerful, and entirely free, is necessarily completely happy.

Sub-proposition.—The simple sole being of infinity of expansion and of duration, who is all-knowing, all-powerful, entirely free, and completely happy, is necessarily perfectly good.

The first objection against the foregoing arguments is that it seeks to prove too much. It affirms one existence (God) infinite in extent and duration, and another entirely different and distinct existence (the material universe) finite in extent and duration. It therefore seeks to substantiate everything and something more. The first proposition is curiously worded, and the argument to demonstrate it is undoubtedly open to more than one objection.

Mr. Gillespie has not defined infinity, and it is possible therefore his argument may be misapprehended in this paper. Infinite signifies nothing more than indefinite. When a person speaks of infinite extension he can only mean to refer to the extension of something to which he has been unable to set limits. The mind can not conceive extension per se, either absolute or finite. It can only conceive something extended. It might be impossible mentally to define the extension of some substance. In such a case its extension would be indefinite; or, as Mr. Gillespie uses the word, infinite. No one can therefore possibly have any idea of infinity of extension. Yet it is upon the existence of such an idea, and on the impossibility of getting rid of it, that Mr. Gillespie grounds his first proposition. If the idea does not exist, the argument is destroyed at the first step.

Mr. Gillespie argues that it is utterly beyond the power of the human mind to conceive infinity of extension non-existent. He would have been more correct in asserting that it is utterly beyond the power of the human mind to conceive infinity of extension at all, either existent or non-existent. Extension can only be conceived as quality of substance. It is possible to conceive substance extended. It is impossible in thought to limit the possible extension of substance. Mr. Gillespie having asserted that we can not but believe that infinity of extension exists, proceeds to declare that it exists necessarily. For, he says, everything the existence of which we can not but believe, exists necessarily. It is not necessary at present to examine what Mr. Gillespie means by existing necessarily; it is sufficient to have shown that we do not believe in the existence of infinity of extension, although we may and do believe in the existence of substance, to the extension of which we may be unable to set limits. But, says Mr. Gillespie, "everything the existence of which we can not but believe is necessarily existing." Then as we can not but believe in the existence of the universe (or, to adopt Mr. Gillespie's phrase, the material universe), the material universe exists necessarily. If by "anything necessarily existing," he means anything the essence of which involves existence, or the nature of which can only be considered as existent, then Mr. Gillespie, by demonstrating the necessary existence of the universe, refutes his own later argument, that God is its creator. Mr. Gillespie's argument, as before remarked, is open to misconception, because he has left us without any definition of some of the most important words he uses. To avoid the same objection, it is necessary to state that by substance or existence I mean that which is in itself and is conceived per se—that is, the conception of which does not involve the conception of anything else as antecedent to it. By quality, that by which I cognize any mode of existence. By mode, each cognized condition of existence. Regarding extension as quality of mode of substance, and not as substance itself, it appears absurd to argue that the quality exists otherwise than as quality of mode.

The whole of the propositions following the first are so built upon it, that if it fails they are baseless. The second proposition is, that infinity of extension is necessarily indivisible. In dealing with this proposition, Mr. Gillespie talks of the parts of infinity of extension, and winds up by saying that he means parts in the sense of partial consideration only. Now not only is it denied that you can have any idea of infinity of extension, but it is also denied that infinity can be the subject of partial consideration. Mr. Gillespie's whole proof of this proposition is intended to affirm that the parts of infinity of extension are necessarily indivisible from each other.

I have already denied the possibility of conceiving infinity in parts; and, indeed, if it were possible to conceive infinity in parts, then that infinity could not be indivisible, for Mr. Gillespie says that, by indivisible, he means indivisible, either really or mentally. Now each part of anything conceived is, in the act of conceiving, mentally separated from, either other parts of, or from the remainder of, the whole of which it is part. It is clearly impossible to have a partial consideration of infinity, because the part considered must be mentally distinguished from the unconsidered remainder, and, in that case, you have, in thought, the part considered finite, and the residue certainly limited, at least, by the extent of the part under consideration.

If any of the foregoing objections are well-founded, they are fatal to Mr. Gillespie's argument.

The argument in favor of the corollary to the second proposition is that the parts of infinity of extension are necessarily immovable among themselves; but if there be no such thing as infinity of extension—that is, if extension be only a quality and not necessarily infinite; if infinite mean only indefiniteness or illimitability, and if infinity can not have parts—this argument goes for very little. The acceptance of the argument that the parts of infinity of extension are immovable is rendered difficult when the reader considers Mr. Gillespie's sub-proposition (4) that the parts of the material universe are movable and divisible from each other. He urges that a part of the infinity of extension or of its substratum must penetrate the material universe and every atom of it. But if infinity can have no parts, no part of it can penetrate the material universe. If infinity have parts (which is absurd), and if some part penetrate every atom of the material universe, and if the part so penetrating be immovable, how can the material universe be considered as movable, and yet as penetrated in every atom by immovability? If penetrated be a proper phrase, then, at the moment when the part of infinity was penetrating the material universe, the part of infinity so penetrating must have been in motion. Mr. Gillespie's logic is faulty. Use his own language, and there is either no penetration, or there is no immovability.

In his argument for the fourth proposition, Mr. Gillespie—having by his previous proposition demonstrated (?) what he calls a substratum for the before demonstrated (?) infinity of extension—says, "it is intuitively evident that the substratum of infinity of extension can be no more divisible than infinity of extension." Is this so? Might not a complex and divisible substratum be conceived by us as possible to underlie a (to us) simple and indivisible indefinite extension, if the conception of the latter were possible to us? There can not be any intuition. It is mere assumption, as, indeed, is the assumption of extension at all, other than as the extension of substance. In his argument for proposition 5, Gillespie says that "any one who asserts that he can suppose two or more necessarily existing beings, each of infinity of expansion, is no more to be argued with than one who denies, Whatever is, is." Why is it more difficult to suppose this than to suppose one being of infinity, and, in addition to this infinity, a material universe? Is it impossible to suppose a necessary being of heat, one of light, and one of electricity, all occupying the same indefinite expansion? If it be replied that you can not conceive two distinct and different beings occupying the same point at the same moment, then it must be equally impossible to conceive the material universe and God existing together.