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10 " We also find *physics*, in the widest sense of the word, concerned with the explanation of phenomena in the world; but it lies already in the nature of the explanations themselves that they cannot be sufficient. *Physics* is unable to stand on its own feet, but needs a *metaphysics* on which to support itself, whatever fine airs it may assume towards the latter. For it explains phenomena by something still more unknown than are they, namely by laws of nature resting on forces of nature, one of which is also the vital force. Certainly the whole present condition of all things in the world or in nature must necessarily be capable of explanation from purely physical causes. But such an explanation―supposing one actually succeeded so far as to be able to give it―must always just as necessarily be burdened with two essential imperfections (as it were with two sore points, or like Achilles with the vulnerable heel, or the devil with the cloven foot). On account of these imperfections, everything so explained would still really remain unexplained. The first imperfection is that the *beginning* of the chain of causes and effects that explains everything, in other words, of the connected and continuous changes, can positively *never* be reached, but, just like the limits of the world in space and time, recedes incessantly and *in infinitum*. The second imperfection is that all the efficient causes from which everything is explained always rest on something wholly inexplicable, that is, on the original *qualities* of things and the *natural forces* that make their appearance in them. By virtue of such forces they produce a definite effect, e.g., weight, hardness, impact, elasticity, heat, electricity, chemical forces, and so on, and such forces remain in every given explanation like an unknown quantity, not to be eliminated at all, in an otherwise perfectly solved algebraical equation. Accordingly there is not a fragment of clay, however little its value, that is not entirely composed of inexplicable qualities. Therefore these two inevitable defects in every purely physical, i.e., causal, explanation indicate that such an explanation can be only *relatively* true, and that its whole method and nature cannot be the only, the ultimate and hence sufficient one, in other words, cannot be the method that will ever be able to lead to the satisfactory solution of the difficult riddles of things, and to the true understanding of the world and of existence; but that the *physical* explanation, in general and as such, still requires one that is *metaphysical*, which would furnish the key to all its assumptions, but for that very reason would have to follow quite a different path. The first step to this is that we should bring to distinct consciousness and firmly retain the distinction between the two, that is, the difference between *physics* and *metaphysics*. In general this difference rests on the Kantian distinction between *phenomenon* and *thing-in-itself*. Just because Kant declared the thing-in-itself to be absolutely unknowable, there was, according to him, no *metaphysics* at all, but merely immanent knowledge, in other words mere *physics*, which can always speak only of phenomena, and together with this a critique of reason which aspires to metaphysics." ―from_The World as Will and Representation_. Translated from the German by E. F. J. Payne. In Two Volumes, Volume II, pp. 172-173 "

11 " There appears to be a fifth way, that of eminence. According to this I argue that it is incompatible with the idea of a most perfect being that anything should excel it in perfection (from the corollary to the fourth conclusion of the third chapter) . Now there is nothing incompatible about a finite thing being excelled in perfection; therefore, etc. The minor is proved from this, that to be infinite is not incompatible with being; but the infinite is greater than any finite being. Another formulation of the same is this. That to which intensive infinity is not repugnant is not all perfect unless it be infinite, for if it is finite, it can be surpassed, since infinity is not repugnant to it. But infinity is not repugnant to being, therefore the most perfect being is infinite.The minor of this proof, which was used in the previous argument, [1] cannot, it seems, be proven *a priori*. For, just as contradictories by their very nature contradict each other and their opposition cannot be made manifest by anything more evident, so also these terms [viz. " being" and " infinite" ] by their very nature are not repugnant to each other. Neither does there seem to be any way of proving this except by explaining the meaning of the notions themselves. " Being" cannot be explained by anything better known than itself. " Infinite" we understand by means of finite. I explain " infinite" in a popular definition as follows: The infinite is that which exceeds the finite, not exactly by reason of any finite measure, but in excess of any measure that could be assigned.—[2] The following persuasive argument can be given for what we intend to prove. Just as everything is assumed to be possible if its impossibility is not apparent, so also all things are assumed to be compatible if their incompatibility is not manifest. Now there is no incompatibility apparent here, for it is not of the nature of being to be finite; nor does finite appear to be an attribute coextensive with being. But if they were mutually repugnant, it would be for one or the other of these reasons. The coextensive attributes which being possesses seem to be sufficiently evident.—[3] A third persuasive argument is this. Infinite in its own way is not opposed to quantity (that is, where parts are taken successively); therefore, neither is infinity, in its own way, opposed to entity (that is, where perfection exists simultaneously) .—[4] If the quantity characteristic of power is simply more perfect than that characteristic of mass, why is it possible to have an infinity [of parts] in mass and not an infinite power? And if an infinite power is possible, then it actually exists (from the fourth conclusion of the third chapter).—[5] The intellect, whose object is being, finds nothing repugnant about the notion of something infinite. Indeed, the infinite seems to be the most perfect thing we can know. Now if tonal discord so easily displeases the ear, it would be strange if some intellect did not clearly perceive the contradiction between infinite and its first object [viz. being] if such existed. For if the disagreeable becomes offensive as soon as it is perceived, why is it that no intellect naturally shrinks from infinite being as it would from something out of harmony with, and even destructive of, its first object?" —from_A Treatise on God as First Principle_, 4.63-4.64 "