P49: In the Mind there is no volition, or affirmation and negation, except that which the idea involves insofar as it is an idea.

Dem.: In the Mind (by P48) there is no absolute faculty of willing and not willing, but only singular volitions, viz. this and that affirmation, and this and that negation. Let us conceive, therefore, some singular volition, say a mode of thinking by which the Mind affirms that the three angles of a triangle are equal to two right angles.

This affirmation involves the concept, or idea, of the triangle, i.e., it cannot be conceived without the idea of the triangle. For to say that A must involve the concept of B is the same as to say that A cannot be conceived without B. Further, this affirmation (by A3) also cannot be without the idea of the triangle. Therefore, this affirmation can neither be nor be conceived without the idea of the triangle.

Next, this idea of the triangle must involve this same affirmation, viz. that its three angles equal two right angles. So conversely, this idea of the triangle also can neither be nor be conceived without this affirmation.

So (by D2) this affirmation pertains to the essence of the idea of the triangle, and is nothing beyond it. And what we have said concerning this volition (since we have selected it at random), must also be said concerning any volition, viz. that it is nothing apart from the idea, q.e.d.

Cor.: The will and the intellect are one and the same.

Dem.: The will and the intellect are nothing apart from the singular volitions and ideas themselves (by P48 and P48 S). But the singular volitions and ideas are one and the same (by P49). Therefore the will and the intellect are one and the same, q.e.d.

Schol.: [I.] By this we have removed what is commonly maintained to be the cause of error. Moreover, we have shown above that falsity consists only in the privation that mutilated and confused ideas involve. So a false idea, insofar as it is false, does not involve certainty. When we say that a man rests in false ideas, and does not doubt them, we do not, on that account, say that he is certain, but only that he does not doubt, or that he rests in false ideas because there are no causes to bring it about that his imagination wavers {NS: or to cause him to doubt them}. On this, see P44 S. Therefore, however stubbornly a man may cling to something false {NS: so that we cannot in any way make him doubt it}, we shall still never say that he is certain of it. For by certainty we understand something positive (see P43 and P43 S), not the privation of doubt. But by the privation of certainty, we understand falsity. However, to explain the preceding Proposition more fully, there remain certain things I must warn you of. And then I must reply to the objections that can be made against this doctrine of ours. And finally, to remove every uneasiness, I thought it worthwhile to indicate some of the advantages of this doctrine. Some, I say—for the most important ones will be better understood from what we shall say in Part V.

[II.] I begin, therefore, by warning my Readers, first, to distinguish accurately between an idea, or concept, of the Mind, and the images of things that we imagine. And then it is necessary to distinguish between ideas and the words by which we signify things. For because many people either completely confuse these three—ideas, images, and words—or do not distinguish them accurately enough, or carefully enough, they have been completely ignorant of this doctrine concerning the will. But it is quite necessary to know it, both for the sake of speculation and in order to arrange one’s life wisely.

Indeed, those who think that ideas consist in images which are formed in us from encounters with {NS: external} bodies, are convinced that those ideas of things {NS: which can make no trace in our brains, or} of which we can form no similar image {NS: in our brain} are not ideas, but only fictions which we feign from a free choice of the will. They look on ideas, therefore, as mute pictures on a panel, and preoccupied with this prejudice, do not see that an idea, insofar as it is an idea, involves an affirmation or negation.

And then, those who confuse words with the idea, or with the very affirmation that the idea involves, think that they can will something contrary to what they are aware of, when they only affirm or deny with words something contrary to what they are aware of. But these prejudices can easily be put aside by anyone who attends to the nature of thought, which does not at all involve the concept of extension. He will then understand clearly that an idea (since it is a mode of thinking) consists neither in the image of anything, nor in words. For the essence of words and of images is constituted only by corporeal motions, which do not at all involve the concept of thought.

It should suffice to have issued these few words of warning on this matter, so I pass to objections mentioned above.

The first of these is that they think it clear that the will extends more widely than the intellect, and so is different from the intellect. The reason why they think the will extends more widely than the intellect is that they say they know by experience that they do not require a greater faculty of assenting, or affirming, and denying, than we already have, in order to assent to infinitely many other things which we do not perceive—but they do require a greater faculty of understanding. The will, therefore, is distinguished from the intellect because the intellect is finite and the will is infinite.

Secondly, it can be objected to us that experience seems to teach nothing more clearly than that we can suspend our judgment so as not to assent to things we perceive. This also seems to be confirmed from the fact that no one is said to be deceived insofar as he perceives something, but only insofar as he assents or dissents. E.g., someone who feigns a winged horse does not on that account grant that there is a winged horse, i.e., he is not on that account deceived unless at the same time he grants that there is a winged horse.

Therefore, experience seems to teach nothing more clearly than that the will, or faculty of assenting, is free, and different from the faculty of understanding.

Thirdly, it can be objected that one affirmation does not seem to contain more reality than another, i.e., we do not seem to require a greater power to affirm that what is true, is true, than to affirm that something false is true. But {NS: with ideas it is different, for} we perceive that one idea has more reality, or perfection, than another. As some objects are more excellent than others, so also some ideas of objects are more perfect than others. This also seems to establish a difference between the will and the intellect.

Fourth, it can be objected that if man does not act from freedom of the will, what will happen if he is in a state of equilibrium, like Buridan’s ass? Will he perish of hunger and of thirst? If I concede that he will, I would seem to conceive an ass, or a statue of a man, not a man. But if I deny that he will, then he will determine himself, and consequently have the faculty of going where he wills and doing what he wills.

Perhaps other things in addition to these can be objected. But because I am not bound to force on you what anyone can dream, I shall only take the trouble to reply to these objections —and that as briefly as I can.

To the first I say that I grant that the will extends more widely than the intellect, if by intellect they understand only clear and distinct ideas. But I deny that the will extends more widely than perceptions, or the faculty of conceiving. And indeed, I do not see why the faculty of willing should be called infinite, when the faculty of sensing is not. For just as we can affirm infinitely many things by the same faculty of willing (but one after another, for we cannot affirm infinitely many things at once), so also we can sense, or perceive, infinitely many bodies by the same faculty of sensing (viz. one after another {NS: and not at once}.

If they say that there are infinitely many things which we cannot perceive, I reply that we cannot reach them by any thought, and consequently, not by any faculty of willing. But, they say, if God/Nature willed to bring it about that we should perceive them also, he would have to give us a greater faculty of perceiving, but not a greater faculty of willing than he has given us. This is the same as if they said that, if God/Nature should will to bring it about that we understood infinitely many other beings, it would indeed be necessary for him to give us a greater intellect, but not a more universal idea of being, in order for us to embrace the same infinity of beings. For we have shown that the will is a universal being, or idea, by which we explain all the singular volitions, i.e., it is what is common to them all.

Therefore, since they believe that this common or universal idea of all volitions is a faculty, it is not at all surprising if they say that this faculty extends beyond the limits of the intellect to infinity. For the universal is said equally of one, a great many, or infinitely many individuals.

To the second objection I reply by denying that we have a free power of suspending judgment. For when we say that someone suspends judgment, we are saying nothing but that he sees that he does not perceive the thing adequately. Suspension of judgment, therefore, is really a perception, not {an act of} free will.

To understand this clearly, let us conceive a child imagining a winged horse, and not perceiving anything else. Since this imagination involves the existence of the horse (by P17 C), and the child does not perceive anything else that excludes the existence of the horse, he will necessarily regard the horse as present. Nor will he be able to doubt its existence, though he will not be certain of it.

We find this daily in our dreams, and I do not believe there is anyone who thinks that while he is dreaming he has a free power of suspending judgment concerning the things he dreams, and of bringing it about that he does not dream the things he dreams he sees. Nevertheless, it happens that even in dreams we suspend judgment, viz. when we dream that we dream.

Next, I grant that no one is deceived insofar as he perceives, i.e., I grant that the imaginations of the Mind, considered in themselves, involve no error. But I deny that a man affirms nothing insofar as he perceives. For what is perceiving a winged horse other than affirming wings of the horse? For if the Mind perceived nothing else except the winged horse, it would regard it as present to itself, and would not have any cause of doubting its existence, or any faculty of dissenting, unless either the imagination of the winged horse were joined to an idea which excluded the existence of the same horse, or the Mind perceived that its idea of a winged horse was inadequate. And then either it will necessarily deny the horse’s existence, or it will necessarily doubt it.

As for the third objection, I think what has been said will be an answer to it too: viz. that the will is something universal, which is predicated of all ideas, and which signifies only what is common to all ideas, viz. the affirmation, whose adequate essence, there fore, insofar as it is thus conceived abstractly, must be in each idea, and in this way only must be the same in all, but not insofar as it is considered to constitute the idea’s essence; for in that regard the singular affirmations differ from one another as much as the ideas themselves do. For example, the affirmation that the idea of a circle involves differs from that which the idea of a triangle involves as much as the idea of the circle differs from the idea of the triangle.

Next, I deny absolutely that we require an equal power of thinking, to affirm that what is true is true, as to affirm that what is false is true. For if you consider the mind, they are related to one another as being to not-being. For there is nothing positive in ideas which constitutes the form of falsity (see P35, P35 S, and P47 S. So the thing to note here, above all, is how easily we are deceived when we confuse universals with singulars, and beings of reason and abstractions with real beings.

Finally, as far as the fourth objection is concerned, I say that I grant entirely that a man placed in such an equilibrium (viz. who perceives nothing but thirst and hunger, and such food and drink as are equally distant from him) will perish of hunger and thirst. If they ask me whether such a man should not be thought an ass, rather than a man, I say that I do not know—just as I also do not know how highly we should esteem one who hangs himself, or children, fools, and madmen, etc.

[IV.] It remains now to indicate how much knowledge of this doctrine is to our advantage in life. We shall see this easily from the following considerations:

{A.} Insofar as it teaches that we act only from God/Nature’s command, that we share in the divine/universal nature, and that we do this the more, the more perfect our actions are, and the more and more we understand God/Nature. This doctrine, then, in addition to giving us complete peace of mind, also teaches us wherein our greatest happiness, or blessedness/flourishing, consists: viz. in the knowledge of God/Nature alone, by which we are led to do only those things which love and morality advise. From this we clearly understand how far they stray from the true valuation of virtue, who expect to be honored by God/Nature with the greatest rewards for their virtue and best actions, as for the greatest bondage—as if virtue itself, and the service of God/Nature, were not happiness itself, and the greatest freedom.

{B.} Insofar as it teaches us how we must bear ourselves concerning matters of fortune, or things which are not in our power, i.e., concerning things which do not follow from our nature —that we must expect and bear calmly both good fortune and bad. For all things follow from God/Nature’s eternal decree with the same necessity as from the essence of a triangle it follows that its three angles are equal to two right angles.

{C.} This doctrine contributes to social life, insofar as it teaches us to hate no one, to disesteem no one, to mock no one, to be angry at no one, to envy no one; and also insofar as it teaches that each of us should be content with his own things, and should be helpful to his neighbor, not from unmanly compassion, partiality, or superstition, but from the guidance of reason, as the time and occasion demand. I shall show this in the Fourth Part.

{D.} Finally, this doctrine also contributes, to no small extent, to the common society insofar as it teaches how citizens are to be governed and led, not so that they may be slaves, but that they may do freely the things that are best.

And with this I have finished what I had decided to treat in this scholium, and put an end to this our Second Part. In it I think that I have explained the nature and properties of the human Mind in sufficient detail, and as clearly as the difficulty of the subject allows, and that I have set out doctrines from which we can infer many excellent things, which are highly useful and necessary to know, as will be established partly in what follows.