The Works of George Berkeley. Vol. 1 of 4: Philosophical Works, 1705-21Berkeley, George
Philosophy
The Works of George Berkeley. Vol. 1 of 4: Philosophical Works, 1705-21
Berkeley, George
Philosophy -- Early works to 1800
A man born blind would not imagine Space as we do. We give it always some
dilute, or duskish, or dark colour—in short, we imagine it as visible, or
intromitted by the eye, wch he would not do.
(M23) Proinde vim inferunt sacris literis qui voces hasce (v. tempus,
spatium, motus) de quantitatibus mensuratis ibi interpretantur. Newton, p.
10.
(M24) I differ from Newton, in that I think the recession ab axe motus is
not the effect, or index, or measure of motion, but of the vis impressa.
It sheweth not wt is truly moved, but wt has the force impressed on it, or
rather that wch hath an impressed force.
_D_ and _P_ are not proportional in all circles. _d d_ is to 1/4_d p_ as
_d_ to _p_/4; but _d_ and _p_/4 are not in the same proportion in all
circles. Hence ’tis nonsense to seek the terms of one general proportion
whereby to rectify all peripheries, or of another whereby to square all
circles.
N. B. If the circle be squar’d arithmetically, ’tis squar’d geometrically,
arithmetic or numbers being nothing but lines & proportions of lines when
apply’d to geometry.
Mem. To remark Cheyne(64) & his doctrine of infinites.
Extension, motion, time, do each of them include the idea of succession, &
so far forth they seem to be of mathematical consideration. Number
consisting in succession & distinct perception, wch also consists in
succession; for things at once perceiv’d are jumbled and mixt together in
the mind. Time and motion cannot be conceiv’d without succession; and
extension, qua mathemat., cannot be conceiv’d but as consisting of parts
wch may be distinctly & successively perceiv’d. Extension perceived at
once & _in confuso_ does not belong to math.
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The simple idea call’d Power seems obscure, or rather none at all, but
onely the relation ’twixt Cause and Effect. When I ask whether A can move
B, if A be an intelligent thing, I mean no more than whether the volition
of A that B move be attended with the motion of B? If A be senseless,
whether the impulse of A against B be followed by ye motion of B(65)?
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Barrow’s arguing against indivisibles, lect. i. p. 16, is a petitio
principii, for the Demonstration of Archimedes supposeth the circumference
to consist of more than 24 points. Moreover it may perhaps be necessary to
suppose the divisibility _ad infinitum_, in order to demonstrate that the
radius is equal to the side of the hexagon.
Shew me an argument against indivisibles that does not go on some false
supposition.
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