Benedict de Spinoza, THE ETHICS
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external body to impinge often on another soft part, it changes
the surface of the latter, and, as it were, leaves the
impression thereupon of the external body which impels it.

VI. The human body can move external bodies, and arrange them in
a variety of ways.

PROPOSITIONS XIV. The human mind is capable of perceiving a
great number of things, and is so in proportion as its body is
capable of receiving a great number of impressions.

>>>>>Proof--The human body (by Post. iii. and vi.) is affected in
very many ways by external bodies, and is capable in very many
ways of affecting external bodies. But (II.xii.) the human mind
must perceive all that takes place in the human body; the human
mind is, therefore, capable of perceiving a great number of
things, and is so in proportion, &c. Q.E.D.

XV. The idea, which constitutes the actual being of the human
mind, is not simple, but compounded of a great number of ideas.

>>>>>Proof--The idea constituting the actual being of the human
mind is the idea of the body (II. xiii.), which (Post. i.) is
composed of a great number of complex individual parts. But
there is necessarily in God the idea of each individual part
whereof the body is composed (II. viii. Cor.); therefore (II.
vii.), the idea of the human body is composed of each of these
numerous ideas of its component parts. Q.E.D.

XVI. The idea of every mode, in which the human body is
affected by external bodies, must involve the nature of the
human body, and also the nature of the external body.

>>>>>Proof--All the modes, in which any given body is affected,
follow from the nature of the body affected, and also from the
nature of the affecting body (by Ax. i., after the Cor. of Lemma
iii.), wherefore their idea is also necessarily (by I, Ax. iv.)
involves the nature of both bodies; therefore, the idea of every
mode, in which the human body is affected by external bodies,
involves the nature of the human body and of the external body.
Q.E.D.

<<<<perceives the nature of a variety of bodies, together with the