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is not measurable, and that it cannot be composed of finite parts. But this is what we [maintain].

... The shaft therefore which is aimed at us turns against those who cast it. If, therefore, from these absurdities any one should attempt to conclude that substance extended must be finite, he would, forsooth, be in the position of the man who supposes a circle to have the properties of a square, and then concludes that it has no center, such that all the lines drawn from it to the circumference are equal. For corporeal substance, which cannot be conceived except as infinite, one and indivisible, is conceived by those against whom I argue to be composed of finite parts, and to be multiplex and divisible, in order that they may prove it finite. Just in the same way others, after they have imagined a line to consist of points, know how to discover many arguments, by which they show that a line cannot be divided ad infinitum; and indeed it is not less absurd to suppose that corporeal substance is composed of bodies or parts than to suppose that a body is composed of surfaces, surfaces of lines, and that lines, finally, are composed of points. Every one who knows that clear reason is infallible ought to admit this, and especially those who deny that a vacuum can exist. For if corporeal substance could be so divided that its parts could be really distinct, why could not one part be annihilated, the rest remaining, as before, connected with one another? And why must all be so fitted together that there can be no vacuum? For of things which are really distinct the one from the other, one can be and remain in its own position without the other. Since therefore it is supposed that there is no vacuum in Nature (about which I will speak at another time), but that all the parts must be united, so that no vacuum can exist, it follows that they cannot be really separated; that is to say, that corporeal substance, in so far as it is substance, cannot be divided.

If, nevertheless, any one should now ask why there is a natural tendency to consider quantity as capable of division, I reply that quantity is conceived by us in two ways: either abstractly or superficially; that is to say, as we imagine it, or else as substance, in which way it is conceived by the intellect alone. If, therefore, we regard quantity (as we do very often and easily) as it exists in the imagination, we find it to be finite, divisible, and composed of parts; but if we regard it as it exists in the intellect, and conceive it in so far as it is substance, which is very difficult, then, as we have already sufficiently demonstrated, we find it to be infinite, one, and indivisible.

This will be plain enough to all who know how to distinguish between the imagination and the intellect, and more especially if we remember that matter is everywhere the same, and that, except in so far as we regard it as affected in different ways, parts are not distinguished in it; that is to say, they are distinguished with regard to mode, but not with regard to reality. For example, we conceive water as being divided, in so far as it is water, and that its parts are separated from one another; but in so far as it is corporeal substance we cannot thus conceive it, for as such it is neither separated nor divided. Moreover, water, in so far as it is water, is originated and destroyed; but in so far as it is substance, it is neither originated nor destroyed.

By this reasoning I think that I have also answered the second argument, since that too is based upon the assumption that matter, considered as substance, is divisible and composed of parts. And even if what I have urged were not true, I do not know why matter should be unworthy of the divine nature, since outside God no substance can exist from which the divine nature could suffer. All things, I say, are in God, and everything which takes place by the laws alone of the infinite nature of God, and follows (as I shall presently show) from the necessity of His essence. Therefore in no way whatever can it be asserted that God suffers from anything, or that substance extended, even if it be supposed divisible, is unworthy of the divine nature, provided only it be allowed that it is eternal and infinite.... Whatever is, is in God, and nothing can either be or be conceived without God.

The Properties of God I

From the necessity of the divine nature infinite numbers of things in infinite ways (that is to say, all things which can be conceived by the infinite intellect) must follow.

This proposition must be plain to every one who considers that from the given definition of anything a number of properties necessarily following from it (that is to say, following from the essence of the thing itself) are inferred by the intellect, and just in proportion as the definition of the thing expresses a greater reality, that is to say, just in proportion as the essence of the thing defined involves a greater reality, will more properties be inferred. But the divine nature possesses absolutely infinite attributes (Def. 6), each one of which expresses infinite essence in its own kind (in suo genere), and therefore, from the necessity of the divine nature, infinite numbers of things in infinite ways (that is to say, all things which can be conceived by the infinite intellect) must necessarily follow. Hence it follows that God is the efficient cause of all things which can fall under the infinite intellect. It follows, secondly, that God is cause through Himself, and not through that which is contingent (per accidens). It follows, thirdly, that God is absolutely the first cause.

II

We have just shown that from the necessity, or (which is the same thing) from the laws only of the divine nature, infinite numbers of things absolutely follow: and we have demonstrated that nothing can be, nor can be conceived, without God, but that all things are in God. Therefore, outside Himself, there can be nothing by which He may be determined or compelled to act; and therefore He acts from the laws of His own nature only, and is compelled by no one.

Hence it follows, firstly, that there is no cause, either external to God or within Him, which can excite Him to act except the perfection of His own nature. It follows, secondly, that God alone is a free cause; for God alone exists from the necessity alone of His own nature and acts from the necessity alone of His own nature. Therefore He alone is a free cause.

There are some who think that God is a free cause because He can, as they think, bring about that those things which we have said follow from His nature—that is to say, those things which are in His power—should not be, or should not be produced by Him. But this is simply saying that God could bring about that it should not follow from the nature of a triangle that its three angles should be equal to two right angles, or that from a given cause an effect should not follow, which is absurd. But I shall show farther on, without the help of this proposition, that neither intellect nor will pertain to the nature of God.

I know indeed that there are many who think themselves able to demonstrate that intellect of the highest order and freedom of will both pertain to the nature of God, for they say that they know nothing more perfect which they can attribute to Him than that which is the chief perfection in ourselves. But although they conceive God as actually possessing the highest intellect, they nevertheless do not believe that He can bring about that all those things should exist which are actually in His intellect, for they think that by such a supposition they would destroy His power. If He had created, they say, all things which are in His intellect, He could have created nothing more, and this, they believe, does not accord with God's omnipotence; so then they prefer to consider God as indifferent to all things, and creating nothing except that which He has decreed to create by a certain absolute will. But I think that I have shown with sufficient clearness that from the supreme power of God, or from His infinite nature, infinite things in infinite ways, that is to say, all things, have necessarily flowed, or continually follow by the same necessity, in the same way as it follows from the nature of a triangle, from eternity and to eternity, that its three angles are equal to two right angles. The omnipotence of God has therefore been actual from eternity, and in the same actuality will remain to eternity. In this way the omnipotence of God, in my opinion, is far more firmly established.

My adversaries, indeed (if I may be permitted to speak plainly), seem to deny the omnipotence of God, inasmuch as they are forced to admit that He has in His mind an infinite number of things which might be created, but which, nevertheless, He will never be able to create, for if He were to create all things which He has in His mind, He would, according to them, exhaust His omnipotence and make Himself imperfect. Therefore, in order to make a perfect God, they are compelled to make Him incapable of doing all those things to which His power extends, and anything more absurd than this, or more opposed to God's omnipotence, I do not think can be imagined.

Moreover—to say a word, too, here about the intellect and will which we commonly attribute to God—if intellect and will pertain to His eternal essence, these attributes cannot be understood in the sense in which men generally use them, for the intellect and will which could constitute His essence would have to differ entirely from our intellect and will, and could resemble ours in nothing except in name. There could be no further likeness than that between the celestial constellation of the Dog and the animal which barks. This I will demonstrate as follows: If intellect pertains to the divine nature, it cannot, like our intellect, follow the things which are its object (as many suppose), nor can it be simultaneous in its nature with them, since God is prior to all things in causality; but, on the contrary, the truth and formal essence of things is what it is, because as such it exists objectively in God's intellect. Therefore the intellect of God, in so far as it is conceived to constitute His essence, is in truth the cause of things, both of their essence and of their existence,—a truth which seems to have been understood by those who have maintained that God's intellect, will, and power are one and the same thing.

Since, therefore, God's intellect is the sole cause of things, both of their essence and of their existence (as we have already shown), it must necessarily differ from them with regard both to its essence and existence; for an effect differs from its cause precisely in that which it has from its cause. For example, one man is the cause of the existence but not of the essence of another, for the essence is an eternal truth; and therefore with regard to essence the two men may exactly resemble one another, but with regard to existence they must differ. Consequently if the existence of one should perish, that of the other will not therefore perish; but if the essence of

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