XX. The existence of God and his essence are one and the same.

>>>>>Proof--God (by the last Prop.) and all his attributes are

eternal, that is (by Def. viii.) each of his attributes expresses

existence. Therefore the same attributes of God which explain

his eternal essence, explain at the same time his eternal

existence--in other words, that which constitutes God's essence

constitutes at the same time his existence. Wherefore God's

existence and God's essence are one and the same. Q.E.D.

<<<<<Corollary I.--Hence it follows that God's existence, like

his essence, is an eternal truth.

<<<<<Corollary II.--Secondly, it follows that God, and all the

attributes of God, are unchangeable. For if they could be

changed in respect to existence, they must also be able to be

changed in respect to essence--that is, obviously, be changed

from true to false, which is absurd.

XXI. All things which follow from the absolute nature of any

attribute of God must always exist and be infinite, or, in other

words, are eternal and infinite through the said attribute.

>>>>>Proof--Conceive, if it be possible (supposing the

proposition to be denied), that something in some attribute of

God can follow from the absolute nature of the said attribute,

and that at the same time it is finite, and has a conditioned

existence or duration; for instance, the idea of God expressed in

the attribute thought. Now thought, in so far as it is supposed

to be an attribute of God, is necessarily (by Prop. xi.) in its

nature infinite. But, in so far as it possesses the idea of God,

it is supposed finite. It cannot, however, be conceived as

finite, unless it be limited by thought (by Def. ii.); but it is

not limited by thought itself, in so far as it has constituted

the idea of God (for so far it is supposed to be finite);

therefore, it is limited by thought, in so far as it has not

constituted the idea of God, which nevertheless (by Prop. xi.)

must necessarily exist.

We have now granted, therefore, thought not constituting the idea

of God, and, accordingly, the idea of God does not naturally

follow from its nature in so far as it is absolute thought (for

it is conceived as constituting, and also as not constituting,

the idea of God), which is against our hypothesis. Wherefore, if

the idea of God expressed in the attribute thought, or, indeed,

anything else in any attribute of God (for we may take any

example, as the proof is of universal application) follows from

the necessity of the absolute nature of the said attribute, the

said thing must necessarily be infinite, which was our first

point.

Furthermore, a thing which thus follows from the necessity of the

nature of any attribute cannot have a limited duration. For if

it can, suppose a thing, which follows from the necessity of the

nature of some attribute, to exist in some attribute of God, for

instance, the idea of God expressed in the attribute thought, and

let it be supposed at some time not to have existed, or to be

about not to exist.

Now thought being an attribute of God must necessarily exist

unchanged (by Prop. xi., and Prop. xx., Cor. ii.); and beyond the

limits of the duration of the idea of God (supposing the latter

at some time not to have existed, or not to be going to exist)

thought would perforce have existed without the idea of God,

which is contrary to our hypothesis, for we supposed that,

thought being given, the idea of God necessarily flowed

therefrom. Therefore the idea of God expressed in thought, or

anything which necessarily follows from the absolute nature of

some attribute of God, cannot have a limited duration, but

through the said attribute is eternal, which is our second point.

Bear in mind that the same proposition may be affirmed of

anything, which in any attribute necessarily follows from God's

absolute nature.

XXII. Whatsoever follows from any attribute of God, in so far as

it is modified by a modification, which exists necessarily and as

infinite, through the said attribute, must also exist necessarily

and as infinite.

>>>>>Proof--The proof of this proposition is similar to that of

the preceding one.

XXIII. Every mode, which exists both necessarily and as

infinite, must necessarily follow either from the absolute nature

of some attribute of God, or from an attribute modified by a

modification which exists necessarily, and as infinite.

>>>>>Proof--A mode exists in something else, through which it

must be conceived (Def. v.), that is (Prop. xv.), it exists

solely in God, and solely through God can be conceived. If

therefore a mode is conceived as necessarily existing and

infinite, it must necessarily be inferred or perceived through

some attribute of God, in so far as such attribute is conceived

as expressing the infinity and necessity of existence, in other

words (Def. viii.) eternity; that is, in so far as it is

considered absolutely. A mode, therefore, which necessarily

exists as infinite, must follow from the absolute nature of some

attribute of God, either immediately (Prop. xxi.) or through the

means of some modification, which follows from the absolute

nature of the said attribute; that is (by Prop. xxii.), which

exists necessarily and as infinite.

XXIV. The essence of things produced by God does not involve

existence.

>>>>>Proof--This proposition is evident from Def. i. For that of

which the nature (considered in itself) involves existence is

self-caused, and exists by the sole necessity of its own nature.

<<<<<Corollary--Hence it follows that God is not only the cause

of things coming into existence, but also of their continuing in

existence, that is, in scholastic phraseology, God is cause of

the being of things (essendi rerum). For whether things exist,

or do not exist, whenever we contemplate their essence, we see

that it involves neither existence nor duration; consequently, it

cannot be the cause of either the one or the other. God must be

the sole cause, inasmuch as to him alone does existence

appertain. (Prop. xiv. Cor. i.) Q.E.D.

XXV. God is the efficient cause not only of the existence of

things, but also of their essence.

>>>>>Proof--If this be denied, then God is not the cause of the

essence of things; and therefore the essence of things can (by

Ax. iv.) be conceived without God. This (by Prop. xv.) is

absurd. Therefore, God is the cause of the essence of things.

Q.E.D.

*****Note--This proposition follows more clearly from Prop. xvi.

For it is evident thereby that, given the divine nature, the

essence of things must be inferred from it, no less than their

existence--in a word, God must be called the cause of all things,

in the same sense as he is called the cause of himself. This

will be made still clearer by the following corollary.

<<<<<Corollary--Individual things are nothing but modifications

of the attributes of God, or modes by which the attributes of God

are expressed in a fixed and definite manner. The proof appears

from Prop. xv. and Def. v.

XXVI. A thing which is conditioned to act in a particular

manner, has necessarily been thus conditioned by God; and that

which has not been conditioned by God cannot condition itself to

act.

>>>>>Proof--That by which things are said to be conditioned to

act in a particular manner is necessarily something positive

(this is obvious); therefore both of its essence and of its

existence God by the necessity of his nature is the efficient

cause (Props. xxv. and xvi.); this is our first point. Our

second point is plainly to be inferred therefrom. For if a

thing, which has not been conditioned by God, could condition

itself, the first part of our proof would be false, and this, as

we have shown is absurd.

XXVII. A thing, which has been conditioned by God to act in a

particular way, cannot render itself unconditioned.

>>>>>Proof--This proposition is evident from Ax. iii.

XXVIII. Every individual thing, or everything which is finite

and has a conditioned existence, cannot exist or be conditioned

to act, unless it be conditioned for existence and action by a

cause other than itself, which also is finite, and has a

conditioned existence; and likewise this cause cannot in its turn

exist, or be conditioned to act, unless it be conditioned for

existence and action by another cause, which also is finite, and

has a conditioned existence, and so on to infinity.

>>>>>Proof--Whatsoever is conditioned to exist and act, has been

thus conditioned by God (by Prop. xxvi. and Prop. xxiv., Cor.)

But that which is finite, and has a conditioned existence, cannot

be produced by the absolute nature of any attribute of God; for

whatsoever follows from the absolute nature of any attribute of

God is infinite and eternal (by Prop. xxi.). It must, therefore,

follow from some attribute of God, in so far as the said

attribute is considered as in some way modified; for substance

and modes make up the sum total of existence (by Ax. i. and Def.

iii., v.), while modes are merely modifications of the

attributes of God. But from God, or from any of his attributes,

in so far as the latter is modified by a modification infinite

and eternal, a conditioned thing cannot follow. Wherefore it

must follow from, or be conditioned for, existence and action by

God or one of his attributes, in so far as the latter are

modified by some modification which is finite, and has a

conditioned existence. This is our first point. Again, this

cause or this modification (for the reason by which we

established the first part of this proof) must in its turn be

conditioned by another cause, which also is finite, and has a

conditioned existence, and, again, this last by another (for the

same reason); and so on (for the same reason) to infinity.

Q.E.D.

*****Note--As certain things must be produced immediately by God,

namely those things which necessarily follow from his absolute

nature, through the means of these primary attributes, which,

nevertheless, can neither exist nor be conceived without God, it

follows: 1. That God is absolutely the proximate cause of those

things immediately produced by him. I say absolutely, not after

his kind, as is usually stated. For the effects of God cannot

either exist or be conceived without a cause (Prop. xv. and Prop.

xxiv. Cor.). 2. That God cannot properly be styled the remote

cause of individual things, except for the sake of

distinguishing these from what he immediately produces, or rather

from what follows from his absolute nature. For, by a remote

cause, we understand a cause which is in no way conjoined to the

effect. But all things which are, are in God, and so depend on

God, that without him they can neither be nor be conceived.

XXIX. Nothing in the universe is contingent, but all things are

conditioned to exist and operate in a particular manner by the

necessity of the divine nature.

>>>>>Proof--Whatsoever is, is in God (Prop. xv.). But God cannot

be called a thing contingent. For (by Prop. xi.) he exists

necessarily, and not contingently. Further, the modes of the

divine nature follow therefrom necessarily, and not contingently

(Prop. xvi.); and they thus follow, whether we consider the

divine nature absolutely, or whether we consider it as in any way

conditioned to act (Prop. xxvii.). Further, God is not only the

cause of these modes, in so far as they simply exist (by Prop.

xxiv., Cor.), but also in so far as they are considered as

conditioned for operating in a particular manner (Prop. xxvi.).

If they be not conditioned by God (Prop. xxvi.), it is

impossible, and not contingent, that they should condition

themselves; contrariwise, if they be conditioned by God, it is

impossible, and not contingent, that they should render

themselves unconditioned. Wherefore all things are conditioned by

the necessity of the divine nature, not only to exist, but also

to exist and operate in a particular manner, and there is nothing

that is contingent. Q.E.D.

*****Note--Before going any further, I wish here to explain, what

we should understand by nature viewed as active (natura

naturans), and nature viewed as passive (natura naturata). I say

to explain, or rather call attention to it, for I think that,

from what has been said, it is sufficiently clear, that by nature

viewed as active we should understand that which is in itself,

and is conceived through itself, or those attributes of

substance, which express eternal and infinite essence, in other

words (Prop. xiv., Cor. i., and Prop. xvii., Cor. ii.) God, in so

far as he is considered as a free cause.

By nature viewed as passive I understand all that which follows

from the necessity of the nature of God, or of any of the

attributes of God, that is, all the modes of the attributes of

God, in so far as they are considered as things which are in God,

and which without God cannot exist or be conceived.

XXX. Intellect, in function (actu) finite, or in function

infinite, must comprehend the attributes of God and the

modifications of God, and nothing else.

>>>>>Proof--A true idea must agree with its object (Ax. vi.); in

other words (obviously) that which is contained in the intellect

in representation must necessarily be granted in nature. But in

nature (by Prop. xiv., Cor. i.) there is no substance save God,

nor any modifications save those (Prop. xv.) which are in God,

and cannot without God either be or be conceived. Therefore the

intellect, in function finite, or in function infinite, must

comprehend the attributes of God and the modifications of God,

and nothing else. Q.E.D.

XXXI. The intellect in function, whether finite or infinite, as

will, desire, love, &c., should be referred to passive nature and

not to active nature.

>>>>>Proof--By the intellect we do not (obviously) mean absolute

thought, but only a certain mode of thinking, differing from

other modes, such as love, desire, &c., and therefore (Def. v.)

requiring to be conceived through absolute thought. It must (by

Prop. xv. and Def. vi.), through some attribute of God which

expresses the eternal and infinite essence of thought, be so

conceived, that without such attribute it could neither be nor be

conceived. It must therefore be referred to nature passive

rather than to nature active, as must also the other modes of

thinking. Q.E.D.

*****Note--I do not here, by speaking of intellect in function,

admit that there is such a thing as intellect in potentiality:

but, wishing to avoid all confusion, I desire to speak only of

what is most clearly perceived by us, namely, of the very act of

understanding, than which nothing is more clearly perceived. For

we cannot perceive anything without adding to our knowledge of

the act of understanding.

XXXII. Will cannot be called a free cause, but only a necessary

cause.

>>>>>Proof--Will is only a particular mode of thinking, like

intellect; therefore (by Prop. xxviii.) no volition can exist,

nor be conditioned to act, unless it be conditioned by some cause

other than itself, which cause is conditioned by a third cause,

and so on to infinity. But if will be supposed infinite, it must

also be conditioned to exist and act by God, not by virtue of his

being substance absolutely infinite, but by virtue of his

possessing an attribute which expresses the infinite and eternal

essence of thought (by Prop. xxiii.). Thus, however it be

conceived, whether as finite or infinite, it requires a cause by

which it should be conditioned to exist and act. Thus (Def.

vii.) it cannot be called a free cause, but only a necessary or

constrained cause. Q.E.D.

<<<<<Corollary I--Hence it follows, first, that God does not act

according to freedom of the will.

<<<<<Corollary II--It follows, secondly, that will and intellect

stand in the same relation to the nature of God as do motion, and

rest, and absolutely all natural phenomena, which must be

conditioned by God (Prop. xxix.) to exist and act in a particular

manner. For will, like the rest, stands in need of a cause, by

which it is conditioned to exist and act in a particular manner.

And although, when will or intellect be granted, an infinite

number of results may follow, yet God cannot on that account be

said to act from freedom of the will, any more than the infinite

number of results from motion and rest would justify us in saying

that motion and rest act by free will. Wherefore will no more

appertains to God than does anything else in nature, but stands

in the same relation to him as motion, rest, and the like, which

we have shown to follow from the necessity of the divine nature,

and to be conditioned by it to exist and act in a particular

manner.

XXXIII. Things could not have been brought into being by God in

any manner or in any order different from that which has in fact

obtained.

>>>>>Proof--All things necessarily follow from the nature of God

(Prop. xvi.), and by the nature of God are conditioned to exist

and act in a particular way (Prop. xxix). If things, therefore,

could have been of a different nature, or have been conditioned

to act in a different way, so that the order of nature would

have been different, God's nature would also have been able to

be different from what it now is; and therefore (by Prop.

xi.)that different nature also would have perforce existed, and

consequently there would have been able to be two or more Gods.

This (by Prop. xiv., Cor. i.) is absurd. Therefore, things

could not have been brought into being by God in any other

manner, &c. Q.E.D.

*****Note I--As I have thus shown, more clearly than the sun at

noonday, that there is nothing to justify us in calling things

contingent, I wish to explain briefly what meaning we shall

attach to the word contingent; but I will first explain the words

necessary and impossible.

A thing is called necessary either in respect to its essence or

in respect to its cause; for the existence of a thing

necessarily follows, either from its essence and definition, or

from a given efficient cause. For similar reasons a thing is

said to be impossible; namely, inasmuch as its essence or

definition involves a contradiction, or because no external cause

is granted, which is conditioned to produce such an effect; but

a thing can in no respect be called contingent, save in relation

to the imperfection of our knowledge.

A thing of which we do not know whether the essence does or does

not involve a contradiction, or of which, knowing that it does

not involve a contradiction, we are still in doubt concerning

the existence, because the order of causes escapes us,--such a

thing, I say, cannot appear to us either necessary or

impossible. Wherefore we call it contingent or possible.

*****Note II--It clearly follows from what we have said, that

things have been brought into being by God in the highest

perfection, inasmuch as they have necessarily followed from a

most perfect nature. Nor does this prove any imperfection in

God, for it has compelled us to affirm his perfection. From its

contrary proposition, we should clearly gather (as I have just

shown), that God is not supremely perfect, for if things had been

brought into being in any other way, we should have to assign to

God a nature different from that, which we are bound to

attribute to him from the consideration of an absolutely perfect

being.

I do not doubt, that many will scout this idea as absurd, and

will refuse to give their minds up to contemplating it, simply

because they are accustomed to assign to God a freedom very

different from that which we (Def. vii.) have deduced. They

assign to him, in short, absolute free will. However, I am also

convinced that if such persons reflect on the matter, and duly

weigh in their minds our series of propositions, they will reject

such freedom as they now attribute to God, not only as nugatory,

but also as a great impediment to organized knowledge. There is

no need for me to repeat what I have said in the note to Prop.

xvii. But, for the sake of my opponents, I will show further,

that although it be granted that will pertains to the essence of

God, it nevertheless follows from his perfection, that things

could not have been by him created other than they are, or in a

different order; this is easily proved, if we reflect on what

our opponents themselves concede, namely, that it depends solely

on the decree and will of God, that each thing is what it is. If

it were otherwise, God would not be the cause of all things.

Further, that all the decrees of God have been ratified from all

eternity by God himself. If it were otherwise, God would be

convicted of imperfection or change. But in eternity there is no

such thing as when, before, or after; hence it follows solely

from the perfection of God, that God never can decree, or never

would have decreed anything but what is; that God did not exist

before his decrees, and would not exist without them. But, it

is said, supposing that God had made a different universe, or

had ordained other decrees from all eternity concerning nature

and her order, we could not therefore conclude any imperfection

in God. But persons who say this must admit that God can change

his decrees. For if God had ordained any decrees concerning

nature and her order, different from those which he has

ordained--in other words, if he had willed and conceived

something different concerning nature--he would perforce have

had a different intellect from that which he has, and also a

different will. But if it were allowable to assign to God a

different intellect and a different will, without any change in

his essence or his perfection, what would there be to prevent

him changing the decrees which he has made concerning created

things, and nevertheless remaining perfect? For his intellect

and will concerning things created and their order are the same,

in respect to his essence and perfection, however they be

conceived.

Further, all the philosophers whom I have read admit that God's

intellect is entirely actual, and not at all potential; as they

also admit that God's intellect, and God's will, and God's

essence are identical, it follows that, if God had had a

different actual intellect and a different will, his essence

would also have been different; and thus, as I concluded at

first, if things had been brought into being by God in a

different way from that which has obtained, God's intellect and

will, that is (as is admitted) his essence would perforce have

been different, which is absurd.

As these things could not have been brought into being by God in

any but the actual way and order which has obtained; and as the

truth of this proposition follows from the supreme perfection of

God; we can have no sound reason for persuading ourselves to

believe that God did not wish to create all the things which were

in his intellect, and to create them in the same perfection as

he had understood them.

But, it will be said, there is in things no perfection nor

imperfection; that which is in them, and which causes them to be

called perfect or imperfect, good or bad, depends solely on the

will of God. If God had so willed, he might have brought it

about that what is now perfection should be extreme

imperfection, and vice versa. What is such an assertion, but

an open declaration that God, who necessarily understands that

which he wishes, might bring it about by his will, that he

should understand things differently from the way in which he

does understand them? This (as we have just shown) is the height

of absurdity. Wherefore, I may turn the argument against its

employers, as follows:--All things depend on the power of God.

In order that things should be different from what they are,

God's will would necessarily have to be different. But God's

will cannot be different (as we have just most clearly

demonstrated) from God's perfection. Therefore neither can

things be different. I confess, that the theory which subjects

all things to the will of an indifferent deity, and asserts that

they are all dependent on his fiat, is less far from the truth

than the theory of those, who maintain that God acts in all

things with a view of promoting what is good. For these latter

persons seem to set up something beyond God, which does not

depend on God, but which God in acting looks to as an exemplar,

or which he aims at as a definite goal. This is only another

name for subjecting God to the dominion of destiny, an utter

absurdity in respect to God, whom we have shown to be the first

and only free cause of the essence of all things and also of

their existence. I need, therefore, spend no time in refuting

such wild theories.

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