Proof.- In so far as men are assailed by emotions that are passions, they
can be different in nature (IV:xxxiii.), and at variance one with another.
But men are only said to be active, in so far as they act in obedience to
reason (III:iii.); therefore, what so ever follows from human nature in so
far as it is defined by reason must (III:Def.ii.) be understood solely
through human nature as its proximate cause. But, since every man by the
laws of his nature desires that which he deems good, and endeavours to
remove that which he deems bad (IV:xix.); and further, since that which we,
in accordance with reason, deem good or bad, necessarily is good
or bad (II:xli.); it follows that men, in so far as they live in obedience
to reason, necessarily do only such things as are necessarily good for
human nature, and consequently for each individual man (IV:xxxi.Coroll.);
in other words, such things as are in harmony with each man's nature.
Therefore, men in so far as they live in obedience to reason, necessarily
live always in harmony one with another. Q.E.D.
Corollary I - There is no individual thing in nature, which is
more useful to man, than a man who lives in obedience to reason. For that
thing is to man most useful, which is most in harmony with his nature
(IV:xxxi.Coroll.); that is, obviously, man. But man acts absolutely
according to the laws of his nature, when he lives in obedience to reason
(III:Def.ii.), and to this extent only is always necessarily in harmony
with the nature of another man (by the last Prop.); wherefore among
individual things nothing is more useful to man, than a man who lives in
obedience to reason. Q.E.D.
Corollary II.- As every man seeks most that which is useful to him, so are
men most useful one to another. For the more a man seeks what is useful to
him and endeavours to preserve himself, the more is he endowed with virtue
(IV:xx.), or, what is the same thing (IV:Def.viii.), the more is he endowed
with power to act according to the laws of his own nature, that is to live
in obedience to reason. But men are most in natural harmony, when they live
in obedience to reason (by the last Prop.); therefore (by the foregoing
Coroll.) men will be most useful one to another, when each seeks most that
which is useful to him. Q.E.D.