A TREATISE ON GOD AS FIRST PRINCIPLE
3.1 The triple primacy of the First Principle.
4.1 The simplicity, infinity and intellectuality of the First Being.
Appendix Two Questions From Lectures On Bk. I Of The Sentences
[Question Two: Is it self-evident that an infinite being exists?]
[I. Reply to the Second Question]
[II. To the Arguments at the Beginning of the Second Question (par. 8-11)]
[III. Reply to the First Question]
IV. To the Arguments at the Beginning of the First Question (par. 1-6)
13 We must answer this second question first. To solve it, we must understand first of all what is meant by a self-evident proposition. Then it will be clear if "God exists" (or some other proposition in which "existence" is predicated of something belonging to God, such as "An infinite being exists") is self-evident. 14 To understand the meaning of "self-evident proposition," know that when a proposition is said to be such, the word 'self' does not rule out every cause whatsoever, because it does not exclude knowledge of the terms. For no proposition is self-evident unless there is knowledge of its terms. What is excluded is any cause or reason which is not essentially included in the concepts of the terms of the self-evident proposition. Hence, that proposition is self-evident which does not need to borrow knowledge elsewhere, but draws the evidence of its own truth from the knowledge of its terms and has the sole source of its certitude within itself. 15 But the name, now, is one term and the concept associated with it is another, the difference between them being that of a name and its definition. Proof: In a demonstration, the definition of one of the extremes serves as a middle term, the remaining term in the premises being the same as in the conclusion. The extreme differs from the middle term as the defined differs from the definition. If the term and concept of the thing defined were the same as that of the definition, then the most cogent form of demonstration would involve a begging of the question. What is more, it would have but two terms. Consequently, the concept of the definition is different from that of the thing defined in so far as the latter is expressed by the name which is defined. 16 Furthermore, Bk. I of the Physics says that much the same thing happens in the relation of names to their definitions as does in the relation of the whole to its parts. The thing defined is known even before its definition is discovered by an analysis of the parts it has. Wherefore, in so far as the concept of the definition is expressed by the name of the thing defined, it is something confused and is known before [the definition]. But it is expressed more distinctly by the name of the definition, which distinguishes the several parts of the defined. Hence the concept associated with the name of the thing defined is other than that of the definition. 17 From this it follows that a proposition is not self-evident if our only knowledge of it stems from a definition of its terms. For, inasmuch as only that proposition is self-evident which is evident from a knowledge of its terms, and the definition and the name are different terms, it follows that a proposition whose evidence stems exclusively from the definition of its terms, is not self-evident, since it borrows its evidence from something beyond itself and it can be a conclusion with reference to some other proposition. 18 Likewise, if a proposition whose evidence stemmed from the definition of its terms were self-evident, then every proposition would be self-evident that is in the first mode of per se predication, such as "Man is an animal, and a body" and so on, up to "substance." Consequently, knowledge of the definition is not enough to make a proposition self-evident. 19 Therefore that proposition only is self-evident which draws its evidence solely from the knowledge of its terms and does not borrow it from the evidence for other concepts. 20 From this we see there is no point or purpose in distinguishing propositions which are self-evident by their nature from those which are self-evident to us; or among the latter, those which are self-evident to the wise from those which are self-evident to the foolish; or those which are self-evident of the first order from those which are self-evident of the second order. For a proposition is not called self-evident because it happens to be in a particular mind, but because its terms are by their nature apt to cause self-evident knowledge in any intellect which conceives them as self-evident in themselves. And therefore nothing is self-evident which can be demonstrated to any intellect. Nevertheless, grades do exist among self-evident propositions according to their value or lack of it. Thus, "It is impossible for the same thing to both be and not be" is of more value than this: "Every whole is greater than its part," etc.
21 Secondly, turning now to the question at issue, I say this: Suppose one means by the name "God" something which we do not conceive perfectly—such as "this divine essence" where the latter term is grasped as self-evident, as would be the case, for instance, if God, seeing himself, were to impose this name "God" upon his essence. Then one might ask whether "God exists" or "This essence exists" would be self-evident. I say that they would be, because the terms in this case are such that they are able to make such a proposition evident to anyone who grasped the terms of the proposition perfectly, and "self-evident" could not be more aptly applied than to this essence. 22 But suppose you ask whether existence is predicated of any concept which we have of God's essence, so that such a proposition would be self-evident wherein existence is predicated of such a concept, as when we say for example that "The infinite exists." To this I say: No! For nothing which can be the conclusion of a demonstration is self-evident from the knowledge of its terms. But every proposition predicating existence of any concept we have of God is just such, viz. the conclusion of a demonstration. Proof: Anything which pertains to a more comprehensive but less extensive concept according to the first mode of per se predication, can also be shown to pertain per se to a broader concept by using the more comprehensive concept as a middle term. For instance, if some attribute pertains primarily to "triangle," it can be demonstrated to be an attribute of "figure" by means of "triangle." Every concept that we use to conceive of God, however, is less comprehensive than "this essence." Therefore, by using as middle term "this essence" to which existence primarily pertains, one could demonstrate existence of every concept that we use to conceive of God. Consequently, no proposition such as "An infinite being exists" is self-evident from a knowledge of its terms but it borrows its evidence from something else, and hence is not self-evident.—The major of this argument, however, can be asserted in an even more universal form, viz. whatever pertains to something primarily, does not pertain to another except in virtue of that nature to which it belongs primarily. But "existence" belongs primarily to "this divine nature." Therefore it is not ascribed [primarily] to some property [ of this essence], neither does it pertain to any other [divine attribute] except in virtue of the nature of [the divine] essence. Therefore, no proposition in which existence is predicated of some property of this [divine] essence which we conceive is primarily true, but it is true only by reason of some other truth, and consequently it is not a primary or self-evident proposition. 23 Furthermore, if a proposition is self-evident, then any intellect which conceives its terms, will by that very fact know that the proposition is true. But this is not the case with such a proposition as "God exists"—where by God is meant not this essence which we conceive, but some concept which we have about this essence—or "God is infinite" or "An infinite being exists." Therefore, it is not self-evident. The major is evident. The minor is established as follows. Every one who assents to any proposition either because of faith or belief or because it is demonstrated, grasps the meaning of the terms. But we assent to this: "God exists" either because of faith or because of a demonstration. Therefore, the meaning of the terms are known prior to faith or demonstration. But this apprehending of the terms does not make us assent to the proposition, otherwise we should not know it only by faith or demonstration. 24 What is more, there is a third argument. To understand it, you must keep in mind first of all that some concepts are simply simple and others are not. That concept is simply simple which is not reduced to some prior or simpler concept, nor is it fully resolved into more than one concept. Such are the concepts of being, and of the ultimate differences. But a concept that is not simply simple is one which, though it be simply grasped, i.e. nothing is affirmed or denied about it, is nevertheless resolved into more than one concept of which the one can be conceived without the other. Such is the concept of the species which can be resolved into a genus and a difference. Consequently, even though a concept be simple in the sense that nothing is affirmed or denied, one must distinguish further whether it is simply simple or not in the aforesaid sense. From this it is clear how one should understand or explain the statement of the Philosopher in Bk. IX of the Metaphysics where we read that so far as simple concepts are concerned the deception characteristic of what is composite is absent. It is not a question here of an affirmation or negation of anything, for one can err by asserting something of a simple concept just as one can say something true or false of a composite concept. What he has in mind is that "the definition of the composite is a long rigmarole," in which many concepts are lumped together and error can arise concerning their conjunction. Sometimes the combination may even include contradictory elements as is the case with "dead man" [i.e. a man without a soul] or "irrational man" [where man is defined as a rational animal]. But such is not the case where simple notions are concerned, for here either one grasps the whole or he grasps nothing. 25 Keeping this explanation in mind, I argue as follows: No proposition about a concept which is not simply simple will be self-evident, unless it also be self-evident that the components of such a concept go together, as I shall prove. Every proper concept that we have of God, however, is not simply simple and consequently, nothing is self-evident of such a concept unless we know that the parts of such a concept essentially go together. But, as I shall prove shortly, it is not self-evident that this is the case. As a consequence, no proposition in which any thing is asserted of any concept we have of God will be self-evident, e.g. "God exists" or "An infinite God exists." 26 Proof of the major: no notion is true of anything unless it first be true in itself. For if it is false in itself, it will not be true of anything. This is clear from Bk. V of the Metaphysics in the chapter "About the False," where the Philosopher intends to say that the false in itself includes a contradiction, whereas what is false of something is that which is not false of everything whatsoever, as is the case with the false in itself. Consequently, it is necessary that one must first know that a thing is true in itself before one can know that it is true of something. But if one does not grasp that the parts of a concept that is not simply simple go together, he does not conceive something that is true in itself and hence does not conceive it as being in something or as true of something. Nothing therefore is self-evidently known about a concept which is not simply simple unless one first recognizes that the parts of this concept go together.
27 The other proposition assumed in the argument is also true, viz. that every concept which we have of God is not simply simple, because every such concept I have of God has to do with what is common to me and to him, as will become clear later. 28 The other assumption is true too, viz. that it is not self-evident that the parts of the concept we use to think of God go together, because it can be demonstrated that one part goes with the other, as is the case, for example, when we demonstrate "God is infinite" or "God exists" (where by "God" we mean what we conceive God to be). 29 From this it is clear that they are incorrect who claim such propositions as "God exists," "A necessary being exists," or "What is operating is in act" are self-evidently known on the grounds that the opposite of the predicate is inconsistent with the subject, and therefore the proposition is self-evident. I say that they are not self-evident, because whenever you use a concept that is not simply simple as the subject you must have self-evident knowledge that the parts go together, which is not the case with "A necessary being exists" and "What is operating is in act", for it is not self-evident that something necessary exists, but this can be demonstrated. That is why the Heracliteans were wont to deny "necessary being" and assert that all is in continuous motion. It is the same with "What is operating is in act," because it is not self-evident that there is actually anything which is operating. Hence it does not follow from the fact that the opposite of the predicate is inconsistent with the subject that the proposition in question is necessary. Indeed, it may even be that such a proposition is false, as is the case with "An irrational man is an animal": for this is inconsistent: "No animal exists, yet an irrational man exists." It is the same with the proposition: "Something greater than God exists," which is false, even though the opposite of the predicate is inconsistent with the subject. 30 If you insist that the predicate is already posited in the subject in the proposition like "A necessary being exists" or "What is operating is in act" and consequently they are self-evident, I reply that this does not follow, because it is not self-evidently known that the notions which are presumed to be present in the subject can actually go together. 31 To this it is objected on logical grounds that if the opposite of the predicate of some proposition is inconsistent with the subject, then from the existence of the subject follows the existence of the predicate. For example, in the proposition "Man is an animal," the opposite of animal is inconsistent with man; therefore this follows: "If a man exists, an animal exists." Hence, if in the proposition "An irrational man is an animal," the opposite of the predicate is inconsistent with the subject, then this would follow: "An irrational man exists, therefore an animal exists." Hence the medium used to infer this, viz. "An irrational man is an animal," is true. Therefore, if the opposite of the predicate is inconsistent with the subject, the proposition will be true and necessary. To this I say: the inference does not follow, because those extremes must be united for which the inference holds. But in this." An irrational man exists, therefore an animal exists," the consequence holds solely because of "man" and not because of "irrational," and therefore it is by virtue of "Man is an animal" that it holds. Consequently, the following is not an inference: "An irrational man exists, therefore a man exists," because "irrational" adds nothing to the inference, and to go from one thing to the same thing is not an inference; neither then is this: "A necessary being exists, therefore it exists." 32 And so it is clear, then, first of all what a self-evident proposition is, seeing that it is one which draws its evidence from the concepts of its terms and from nothing else, whatever be the intellect which conceives those terms. For this follows what was said above [Cf. 14-20] 33 It is also clear in what way "God exists" is self-evident and in what way it is not. For if we mean by God "this divine essence" which we do not conceive, it is a self-evident truth; but if we mean by God, that which we first conceive God to be in such universal terms as "first principle" and "infinite" and many such like, then the truth is not self-evidently known, as has already been shown.