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Proof.--This is evident from III. xvi.

PROP. XLVII. Joy arising from the fact, that anything we hate is destroyed, or suffers other injury, is never unaccompanied by a certain pain in us.

Proof.--This is evident from III. xxvii. For in so far as we conceive a thing similar to ourselves to be affected with pain, we ourselves feel pain.

Note.--This proposition can also be proved from the Corollary to II. xvii. Whenever we remember anything, even if it does not actually exist, we regard it only as present, and the body is affected in the same manner; wherefore, in so far as the remembrance of the thing is strong, a man is determined to regard it with pain; this determination, while the image of the thing in question lasts, is indeed checked by the remembrance of other things excluding the existence of the aforesaid thing, but is not destroyed: hence, a man only feels pleasure in so far as the said determination is checked: for this reason the joy arising from the injury done to what we hate is repeated, every time we remember that object of hatred. For, as we have said, when the image of the thing in question, is aroused, inasmuch as it involves the thing's existence, it determines the man to regard the thing with the same pain as he was wont to do, when it actually did exist. However, since he has joined to the image of the thing other images, which exclude its existence, this determination to pain is forthwith checked, and the man rejoices afresh as often as the repetition takes place. This is the cause of men's pleasure in recalling past evils, and delight in narrating dangers from which they have escaped. For when men conceive a danger, they conceive it as still future, and are determined to fear it; this determination is checked afresh by the idea of freedom, which became associated with the idea of the danger when they escaped therefrom: this renders them secure afresh: therefore they rejoice afresh.

PROP. XLVIII. Love or hatred towards, for instance, Peter is destroyed, if the pleasure involved in the former, or the pain involved in the latter emotion, be associated with the idea of another cause: and will be diminished in proportion as we conceive Peter not to have been the sole cause of either emotion.

Proof.--This Prop. is evident from the mere definition of love and hatred (III. xiii. note). For pleasure is called love towards Peter, and pain is called hatred towards Peter, simply in so far as Peter is regarded as the cause of one emotion or the other. When this condition of causality is either wholly or partly removed, the emotion towards Peter also wholly or in part vanishes. Q.E.D.

PROP. XLIX. Love or hatred towards a thing, which we conceive to be free, must, other conditions being similar, be greater than if it were felt towards a thing acting by necessity.

Proof.--A thing which we conceive as free must (I. Def. vii.) be perceived through itself without anything else. If, therefore, we conceive it as the cause of pleasure or pain, we shall therefore (III. xiii. note) love it or hate it, and shall do so with the utmost love or hatred that can arise from the given emotion. But if the thing which causes the emotion be conceived as acting by necessity, we shall then (by the same Def.

vii. Part I.) conceive it not as the sole cause, but as one of the causes of the emotion, and therefore our love or hatred towards it will be less. Q.E.D.

Note.--Hence it follows, that men, thinking themselves to be free, feel more love or hatred towards one another than towards anything else: to this consideration we must add the imitation of emotions treated of in III. xxvii., xxxiv., xl. and xliii.

PROP. L. Anything whatever can be, accidentally, a cause of hope or fear.

Proof.--This proposition is proved in the same way as III.

xv., which see, together with the note to III. xviii.

Note.--Things which are accidentally the causes of hope or fear are called good or evil omens. Now, in so far as such omens are the cause of hope or fear, they are (by the definitions of hope and fear given in III. xviii. note) the causes also of pleasure and pain; consequently we, to this extent, regard them with love or hatred, and endeavour either to invoke them as means towards that which we hope for, or to remove them as obstacles, or causes of that which we fear. It follows, further, from III.

xxv., that we are naturally so constituted as to believe readily in that which we hope for, and with difficulty in that which we fear; moreover, we are apt to estimate such objects above or below their true value. Hence there have arisen superstitions, whereby men are everywhere assailed. However, I do not think it worth while to point out here the vacillations springing from hope and fear; it follows from the definition of these emotions, that there can be no hope without fear, and no fear without hope, as I will duly explain in the proper place. Further, in so far as we hope for or fear anything, we regard it with love or hatred; thus everyone can apply by himself to hope and fear what we have said concerning love and hatred.

PROP. LI. Different men may be differently affected by the same object, and the same man may be differently affected at different times by the same object.

Proof.--The human body is affected by external bodies in a variety of ways (II. Post. iii.). Two men may therefore be differently affected at the same time, and therefore (by Ax. i.

after Lemma iii. after II. xiii.) may be differently affected by one and the same object. Further (by the same Post.) the human body can be affected sometimes in one way, sometimes in another; consequently (by the same Axiom) it may be differently affected at different times by one and the same object. Q.E.D.

Note.--We thus see that it is possible, that what one man loves another may hate, and that what one man fears another may not fear; or, again, that one and the same man may love what he once hated, or may be bold where he once was timid, and so on.

Again, as everyone judges according to his emotions what is good, what bad, what better, and what worse (III. xxxix. note), it follows that men's judgments may vary no less than their emotions[10], hence when we compare some with others, we distinguish them solely by the diversity of their emotions, and style some intrepid, others timid, others by some other epithet.

For instance, I shall call a man intrepid, if he despises an evil which I am accustomed to fear; if I further take into consideration, that, in his desire to injure his enemies and to benefit those whom he loves, he is not restrained by the fear of an evil which is sufficient to restrain me, I shall call him daring. Again, a man will appear timid to me, if he fears an evil which I am accustomed to despise; and if I further take into consideration that his desire is restrained by the fear of an evil, which is not sufficient to restrain me, I shall say that he is cowardly; and in like manner will everyone pass judgment.

[10] This is possible, though the human mind is part of the divine intellect, as I have shown in II. xiii. note.

Lastly, from this inconstancy in the nature of human judgment, inasmuch as a man often judges things solely by his emotions, and inasmuch as the things which he believes cause pleasure or pain, and therefore endeavours to promote or prevent, are often purely imaginary, not to speak of the uncertainty of things alluded to in III. xxviii.; we may readily conceive that a man may be at one time affected with pleasure, and at another with pain, accompanied by the idea of himself as cause. Thus we can easily understand what are Repentance and Self--complacency.

Repentance is pain, accompanied by the idea of one's self as cause; Self--complacency is pleasure, accompanied by the idea of one's self as cause, and these emotions are most intense because men believe themselves to be free (III. xlix.).

PROP. LII. An object which we have formerly seen in conjunction with others, and which we do not conceive to have any property that is not common to many, will not be regarded by us for so long, as an object which we conceive to have some property peculiar to itself.

Proof.--As soon as we conceive an object which we have seen in conjunction with others, we at once remember those others (II.

xviii. and note), and thus we pass forthwith from the contemplation of one object to the contemplation of another object. And this is the case with the object, which we conceive to have no property that is not common to many. For we thereupon assume that we are regarding therein nothing, which we have not before seen in conjunction with other objects. But when we suppose that we conceive an object something special, which we have never seen before, we must needs say that the mind, while regarding that object, has in itself nothing which it can fall to regarding instead thereof; therefore it is determined to the contemplation of that object only. Therefore an object, &c.

Q.E.D.

Note.--This mental modification, or imagination of a particular thing, in so far as it is alone in the mind, is called Wonder; but if it be excited by an object of fear, it is called Consternation, because wonder at an evil keeps a man so engrossed in the simple contemplation thereof, that he has no power to think of anything else whereby he might avoid the evil. If, however, the object of wonder be a man's prudence, industry, or anything of that sort, inasmuch as the said man, is thereby regarded as far surpassing ourselves, wonder is called Veneration; otherwise, if a man's anger, envy, &c., be what we wonder at, the emotion is called Horror. Again, if it be the prudence, industry, or what not, of a man we love, that we wonder at, our love will on this account be the greater (III. xii.), and when joined to wonder or veneration is called Devotion. We may in like manner conceive hatred, hope, confidence, and the other emotions, as associated with wonder; and we should thus be able to deduce more emotions than those which have obtained names in ordinary speech. Whence it is evident, that the names of the emotions have been applied in accordance rather with their ordinary manifestations than with an accurate knowledge of their nature.

To wonder is opposed Contempt, which generally arises from the fact that, because we see someone wondering at, loving, or fearing something, or because something, at first sight, appears to be like things, which we ourselves wonder at, love, fear, &c., we are, in consequence (III. xv. Coroll. and III. xxvii.), determined to wonder at, love, or fear that thing. But if from the presence, or more accurate contemplation of the said thing, we are compelled to deny concerning it all that can be the cause of wonder, love, fear, &c., the mind then, by the presence of the thing, remains determined to think rather of those qualities which are not in it, than of those which are in it; whereas, on the other hand, the presence of the object would cause it more particularly to regard that which is therein. As devotion springs from wonder at a thing which we love, so does Derision spring from contempt of a thing which we hate or fear, and Scorn from contempt of folly, as veneration from wonder at prudence.

Lastly, we can conceive the emotions of love, hope, honour, &c., in association with contempt, and can thence deduce other emotions, which are not distinguished one from another by any recognized name.

PROP. LIII. When the mind regards itself and its own power of activity, it feels pleasure: and that pleasure is greater in proportion to the distinctness wherewith it conceives itself and its own power of activity.

Proof.--A man does not know himself except through the modifications of his body, and the ideas thereof (II. xix. and xxiii.). When, therefore, the mind is able to contemplate itself, it is thereby assumed to pass to a greater perfection, or (III. xi. note) to feel pleasure; and the pleasure will be greater in proportion to the distinctness, wherewith it is able to conceive itself and its own power of activity. Q.E.D.

Corollary.--This pleasure is fostered more and more, in proportion as a man conceives himself to be praised by others.

For the more he conceives himself as praised by others, the more he will imagine them to be affected with pleasure, accompanied by the idea of himself (III. xxix. note); thus he is (III. xxvii.) himself affected with greater pleasure, accompanied by the idea of himself. Q.E.D.

PROP. LIV. The mind endeavours to conceive only such things as assert its power of activity.

Proof.--The endeavour or power of the mind is the actual essence thereof (III. vii.); but the essence of the mind obviously only affirms that which the mind is and can do; not that which it neither is nor can do; therefore the mind endeavours to conceive only such things as assert or affirm its power of activity. Q.E.D.

PROP. LV. When the mind contemplates its own weakness, it feels pain thereat.

Proof.--The essence of the mind only affirms that which the mind is, or can do; in other words, it is the mind's nature to conceive only such things as assert its power of activity (last Prop.). Thus, when we say that the mind contemplates its own weakness, we are merely saying that while the mind is attempting to conceive something which asserts its power of activity, it is checked in its endeavour----in other words (III. xi. note), it feels pain. Q.E.D.

Corollary.--This pain is more and more fostered, if a man conceives that he is blamed by others; this may be proved in the same way as the corollary to III. liii.

Note.--This pain, accompanied by the idea of our own weakness, is called humility; the pleasure, which springs from the contemplation of ourselves, is called self--love or self--complacency. And inasmuch as this feeling is renewed as often as a man contemplates his own virtues, or his own power of activity, it follows that everyone is fond of narrating his own exploits, and displaying the force both of his body and mind, and also that, for this reason, men are troublesome to one another.

Again, it follows that men are naturally envious (III. xxiv.

note, and III. xxxii. note), rejoicing in the shortcomings of their equals, and feeling pain at their virtues. For whenever a man conceives his own actions, he is affected with pleasure (III.

liii.), in proportion as his actions display more perfection, and he conceives them more distinctly--that is (II. xl. note), in proportion as he can distinguish them from others, and regard them as something special. Therefore, a man will take most pleasure in contemplating himself, when he contemplates some quality which he denies to others. But, if that which he affirms of himself be attributable to the idea of man or animals in general, he will not be so greatly pleased: he will, on the contrary, feel pain, if he conceives that his own actions fall short when compared with those of others. This pain (III.

xxviii.) he will endeavour to remove, by putting a wrong construction on the actions of his equals, or by, as far as he can, embellishing his own.

It is thus apparent that men are naturally prone to hatred and envy, which latter is fostered by their education. For parents are accustomed to incite their children to virtue solely by the spur of honour and envy. But, perhaps, some will scruple to assent to what I have said, because we not seldom admire men's virtues, and venerate their possessors. In order to remove such doubts, I append the following corollary.

Corollary.--No one envies the virtue of anyone who is not his equal.

Proof.--Envy is a species of hatred (III. xxiv. note) or (III.

xiii. note) pain, that is (III. xi. note), a modification whereby a man's power of activity, or endeavour towards activity, is checked. But a man does not endeavour or desire to do anything, which cannot follow from his nature as it is given; therefore a man will not desire any power of activity or virtue (which is the same thing) to be attributed to him, that is appropriate to another's nature and foreign to his own; hence his desire cannot be checked, nor he himself pained by the contemplation of virtue in some one unlike himself, consequently he cannot envy such an one. But he can envy his equal, who is assumed to have the same nature as himself. Q.E.D.

Note.--When, therefore, as we said in the note to III. lii., we venerate a man, through wonder at his prudence, fortitude, &c., we do so, because we conceive those qualities to be peculiar to him, and not as common to our nature; we, therefore, no more envy their possessor, than we envy trees for being tall, or lions for being courageous.

PROP. LVI. There are as many kinds of pleasure, of pain, of desire, and of every emotion compounded of these, such as vacillations of spirit, or derived from these, such as love, hatred, hope, fear, &c., as there are kinds of objects whereby we are affected.

Proof.--Pleasure and pain, and consequently the emotions compounded thereof, or derived therefrom, are passions, or passive states (III. xi. note); now we are necessarily passive (III. i.), in so far as we have inadequate ideas; and only in so far as we have such ideas are we passive (III. iii.); that is, we are only necessarily passive (II. xl. note), in so far as we conceive, or (II. xvii. and note) in so far as we are affected by an emotion, which involves the nature of our own body, and the nature of an external body. Wherefore the nature of every passive state must necessarily be so explained, that the nature of the object whereby we are affected be expressed. Namely, the pleasure, which arises from, say, the object A, involves the nature of that object A, and the pleasure, which arises from the object B, involves the nature of the object B; wherefore these two pleasurable emotions are by nature different, inasmuch as the causes whence they arise are by nature different. So again the emotion of pain, which arises from one object, is by nature different from the pain arising from another object, and, similarly, in the case of love, hatred, hope, fear, vacillation, &c.

Thus, there are necessarily as many kinds of pleasure, pain, love, hatred, &c., as there are kinds of objects whereby we are affected. Now desire is each man's essence or nature, in so far as it is conceived as determined to a particular action by any given modification of itself (III. ix. note); therefore, according as a man is affected through external causes by this or that kind of pleasure, pain, love, hatred, &c., in other words, according as his nature is disposed in this or that manner, so will his desire be of one kind or another, and the nature of one desire must necessarily differ from the nature of another desire, as widely as the emotions differ, wherefrom each desire arose.

Thus there are as many kinds of desire, as there are kinds of pleasure, pain, love, &c., consequently (by what has been shown) there are as many kinds of desire, as there are kinds of objects whereby we are affected. Q.E.D.

Note.--Among the kinds of emotions, which, by the last proposition, must be very numerous, the chief are luxury, drunkenness, lust, avarice, and ambition, being merely species of love or desire, displaying the nature of those emotions in a manner varying according to the object, with which they are concerned. For by luxury, drunkenness, lust, avarice, ambition, &c., we simply mean the immoderate love of feasting, drinking, venery, riches, and fame. Furthermore, these emotions, in so far as we distinguish them from others merely by the objects wherewith they are concerned, have no contraries. For temperance, sobriety, and chastity, which we are wont to oppose to luxury, drunkenness, and lust, are not emotions or passive states, but indicate a power of the mind which moderates the last--named emotions. However, I cannot here explain the remaining kinds of emotions (seeing that they are as numerous as the kinds of objects), nor, if I could, would it be necessary.

It is sufficient for our purpose, namely, to determine the strength of the emotions, and the mind's power over them, to have a general definition of each emotion. It is sufficient, I repeat, to understand the general properties of the emotions and the mind, to enable us to determine the quality and extent of the mind's power in moderating and checking the emotions. Thus, though there is a great difference between various emotions of love, hatred, or desire, for instance between love felt towards children, and love felt towards a wife, there is no need for us to take cognizance of such differences, or to track out further the nature and origin of the emotions.

PROP. LVII. Any emotion of a given individual differs from the emotion of another individual, only in so far as the essence of the one individual differs from the essence of the other.

Proof.--This proposition is evident from Ax. i. (which see after Lemma iii. Prop. xiii., Part II.). Nevertheless, we will prove it from the nature of the three primary emotions.

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