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Ethics, Demonstrated in Geometrical Order
most torment themselves, when they despair of gaining the distinctions they hanker after, and in thus giving vent to their anger would fain appear wise. Wherefore it is certain that those, who cry out the loudest against the misuse of honour and the vanity of the world, are those who most greedily covet it.

This is not peculiar to the ambitious, but is common to all who are ill—used by fortune, and who are infirm in spirit. For a poor man also, who is miserly, will talk incessantly of the misuse of wealth and of the vices of the rich; whereby he merely torments himself, and shows the world that he is intolerant, not only of his own poverty, but also of other people’s riches. So, again, those who have been ill received by a woman they love think of nothing but the inconstancy, treachery, and other stock faults of the fair sex; all of which they consign to oblivion, directly they are again taken into favour by their sweetheart.

Thus he who would govern his emotions and appetite solely by the love of freedom strives, as far as he can, to gain a knowledge of the virtues and their causes, and to fill his spirit with the joy which arises from the true knowledge of them: he will in no wise desire to dwell on men’s faults, or to carp at his fellows, or to revel in a false show of freedom. Whosoever will diligently observe and practise these precepts (which indeed are not difficult) will verily, in a short space of time, be able, for the most part, to direct his actions according to the commandments of reason.
[16] Continuo. Rendered “constantly” by Mr. Pollock on the ground that the classical meaning of the word does not suit the context.

PROP. XI. In proportion as a mental image is referred to more objects, so is it more frequent, or more often vivid, and occupies the mind more.
Proof.—In proportion as a mental image or an emotion is referred to more objects, so are there more causes whereby it can be aroused and fostered, all of which (by hypothesis) the mind contemplates simultaneously in association with the given emotion; therefore the emotion is more frequent, or is more often in full vigour, and (V. viii.) occupies the mind more. Q.E.D.
PROP. XII. The mental images of things are more easily associated with the images referred to things which we clearly and distinctly understand, than with others.

Proof.—Things, which we clearly and distinctly understand, are either the common properties of things or deductions therefrom (see definition of Reason, II. xl. note ii.), and are consequently (by the last Prop.) more often aroused in us. Wherefore it may more readily happen, that we should contemplate other things in conjunction with these than in conjunction with something else, and consequently (II. xviii.) that the images of the said things should be more often associated with the images of these than with the images of something else. Q.E.D.
PROP. XIII. A mental image is more often vivid, in proportion as it is associated with a greater number of other images.
Proof.—In proportion as an image is associated with a greater number of other images, so (II. xviii.) are there more causes whereby it can be aroused. Q.E.D.
PROP. XIV. The mind can bring it about, that all bodily modifications or images of things may be referred to the idea of God.

Proof.—There is no modification of the body, whereof the mind may not form some clear and distinct conception (V. iv.); wherefore it can bring it about, that they should all be referred to the idea of God (I. xv.). Q.E.D.
PROP. XV. He who clearly and distinctly understands himself and his emotions loves God, and so much the more in proportion as he more understands himself and his emotions.
Proof.—He who clearly and distinctly understands himself and his emotions feels pleasure (III. liii.), and this pleasure is (by the last Prop.) accompanied by the idea of God; therefore (Def. of the Emotions, vi.) such an one loves God, and (for the same reason) so much the more in proportion as he more understands himself and his emotions. Q.E.D.
PROP. XVI. This love towards God must hold the chief place in the mind.

Proof.—For this love is associated with all the modifications of the body (V. xiv.) and is fostered by them all (V. xv.); therefore (V. xi.), it must hold the chief place in the mind. Q.E.D.
PROP. XVII. God is without passions, neither is he affected by any emotion of pleasure or pain.
Proof.—All ideas, in so far as they are referred to God, are true (II. xxxii.), that is (II. Def. iv.) adequate; and therefore (by the general Def. of the Emotions) God is without passions. Again, God cannot pass either to a greater or to a lesser perfection (I. xx. Coroll. ii.); therefore (by Def. of the Emotions, ii. iii.) he is not affected by any emotion of pleasure or pain.
Corollary.—Strictly speaking, God does not love or hate anyone. For God (by the foregoing Prop.) is not affected by any emotion of pleasure or pain, consequently (Def. of the Emotions, vi. vii.) he does not love or hate anyone.
PROP. XVIII. No one can hate God.

Proof.—The idea of God which is in us is adequate and perfect (II. xlvi. xlvii.); wherefore, in so far as we contemplate God, we are active (III. iii.); consequently (III. lix.) there can be no pain accompanied by the idea of God, in other words (Def. of the Emotions, vii.), no one can hate God. Q.E.D.
Corollary.—Love towards God cannot be turned into hate.
Note.—It may be objected that, as we understand God as the cause of all things, we by that very fact regard God as the cause of pain. But I make answer, that, in so far as we understand the causes of pain, it to that extent (V. iii.) ceases to be a passion, that is, it ceases to be pain (III. lix.); therefore, in so far as we understand God to be the cause of pain, we to that extent feel pleasure.
PROP. XIX. He, who loves God, cannot endeavour that God should love him in return.
Proof.—For, if a man should so endeavour, he would desire (V. xvii. Coroll.) that God, whom he loves, should not be God, and consequently he would desire to feel pain (III. xix.); which is absurd (III. xxviii.). Therefore, he who loves God, &c. Q.E.D.

PROP. XX. This love towards God cannot be stained by the emotion of envy or jealousy: contrariwise, it is the more fostered, in proportion as we conceive a greater number of men to be joined to God by the same bond of love.
Proof.—This love towards God is the highest good which we can seek for under the guidance of reason (IV. xxviii.), it is common to all men (IV. xxxvi.), and we desire that all should rejoice therein (IV. xxxvii.); therefore (Def. of the Emotions, xxiii.), it cannot be stained by the emotion envy, nor by the emotion of jealousy (V. xviii. see definition of Jealousy, III. xxxv. note); but, contrariwise, it must needs be the more fostered, in proportion as we conceive a greater number of men to rejoice therein. Q.E.D.

Note.—We can in the same way show, that there is no emotion directly contrary to this love, whereby this love can be destroyed; therefore we may conclude, that this love towards God is the most constant of all the emotions, and that, in so far as it is referred to the body, it cannot be destroyed, unless the body be destroyed also. As to its nature, in so far as it is referred to the mind only, we shall presently inquire.
I have now gone through all the remedies against the emotions, or all that the mind, considered in itself alone, can do against them. Whence it appears that the mind’s power over the emotions consists:——

I. In the actual knowledge of the emotions (V. iv. note).
II. In the fact that it separates the emotions from the thought of an external cause, which we conceive confusedly (V. ii. and V. iv. note).
III. In the fact, that, in respect to time, the emotions referred to things, which we distinctly understand, surpass those referred to what we conceive in a confused and fragmentary manner (V. vii.).
IV. In the number of causes whereby those modifications[17] are fostered, which have regard to the common properties of things or to God (V. ix. xi.).
[17] Affectiones. Camerer reads affectus——emotions.

V. Lastly, in the order wherein the mind can arrange and associate, one with another, its own emotions (V. x. note and xii. xiii. xiv.).
But, in order that this power of the mind over the emotions may be better understood, it should be specially observed that the emotions are called by us strong, when we compare the emotion of one man with the emotion of another, and see that one man is more troubled than another by the same emotion; or when we are comparing the various emotions of the same man one with another, and find that he is more affected or stirred by one emotion than by another. For the strength of every emotion is defined by a comparison of our own power with the power of an external cause.

Now the power of the mind is defined by knowledge only, and its infirmity or passion is defined by the privation of knowledge only: it therefore follows, that that mind is most passive, whose greatest part is made up of inadequate ideas, so that it may be characterized more readily by its passive states than by its activities: on the

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most torment themselves, when they despair of gaining the distinctions they hanker after, and in thus giving vent to their anger would fain appear wise. Wherefore it is certain that

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