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contains more reality。
Wherefore； in order to determine； wherein the human mind differs
from other things； and wherein it surpasses them； it is
necessary for us to know the nature of its object； that is； of
the human body。 What this nature is； I am not able here to
explain； nor is it necessary for the proof of what I advance；
that I should do so。 I will only say generally； that in
proportion as any given body is more fitted than others for doing
many actions or receiving many impressions at once； so also is
the mind； of which it is the object； more fitted than others for
forming many simultaneous perceptions； and the more the actions
of the body depend on itself alone； and the fewer other bodies
concur with it in action； the more fitted is the mind of which
it is the object for distinct comprehension。 We may thus
recognize the superiority of one mind over others； and may
further see the cause； why we have only a very confused
knowledge of our body； and also many kindred questions； which I
will； in the following propositions； deduce from what has been
advanced。 Wherefore I have thought it worth while to explain
and prove more strictly my present statements。 In order to do
so； I must premise a few propositions concerning the nature of
bodies。
…Axiom I。 All bodies are either in motion or at rest。
…Axiom II。 Every body is moved sometimes more slowly；
sometimes more quickly。
Lemma I。 Bodies are distinguished from one another in respect of
motion and rest； quickness and slowness； and not in respect of
substance。
》》》》》ProofThe first part of this proposition is； I take it；
self…evident。 That bodies are not distinguished in respect of
substance； is plain both from I。 v。 and I。 viii。 It is brought
out still more clearly from I。 xv。； Note。
Lemma II。 All bodies agree in certain respects。
》》》》》ProofAll bodies agree in the fact； that they involve the
conception of one and the same attribute （II。； Def。 i。）。
Further； in the fact that they may be moved less or more
quickly； and may be absolutely in motion or at rest。
Lemma III。 A body in motion or at rest must be determined to
motion or rest by another body； which other body has been
determined to motion or rest by a third body； and that third
again by a fourth； and so on to infinity。
》》》》》ProofBodies are individual things （II。； Def。 i。）； which
（Lemma i。） are distinguished one from the other in respect to
motion and rest； thus （I。 xxviii。） each must necessarily be
determined to motion or rest by another individual thing； namely
（II。 vi。） by another body； which other body is also （Ax。 i。） in
motion or at rest。 And this body again can only have been set
in motion or caused to rest by being determined by a third body
to motion or rest。 This third body again by a fourth； and so on
to infinity。 Q。E。D。