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1 The Birth of Science - MSRI

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11.7 Newton’s Natural Philosophy 321<br />

abided by the Inquisition’s sentence. 114 But this should not obscure the<br />

fact that his scientific works were read with attention by other scientists <strong>of</strong><br />

the early modern age, in England more than anywhere else.<br />

11.7 Newton’s Natural Philosophy<br />

In analyzing the links between Hellenistic and modern science we must<br />

perforce dwell on Newton, <strong>of</strong>ten considered the primary founder <strong>of</strong> the<br />

latter. We start by recalling how Newton talks about space in the Principia<br />

mathematica:<br />

All things are placed . . . in space as to order <strong>of</strong> situation. It is from<br />

their essence or nature that they are places; and that the primary<br />

places <strong>of</strong> things should be movable, is absurd. <strong>The</strong>se are therefore<br />

the absolute places; and translations out those places, are the only<br />

absolute motions.<br />

But because the parts <strong>of</strong> space cannot be seen, or distinguished from<br />

one another by our senses, therefore in their stead we use sensible<br />

measures <strong>of</strong> them. . . . And so, instead <strong>of</strong> absolute places and<br />

motions, we use relative ones; and that without any inconvenience<br />

in common affairs; but in philosophical disquisitions, we ought to<br />

abstract from our senses, and consider things themselves, distinct<br />

from what are only sensible measures <strong>of</strong> them. For it may be that<br />

there is no body really at rest, to which the places and motions <strong>of</strong><br />

others may be referred. 115<br />

Newton’s ideas, though seemingly close to and inspired by Aristotle’s,<br />

differ from them in an essential respect. Aristotle’s absolute space was<br />

simply that <strong>of</strong> everyday experience, fixed with the earth, and thus directly<br />

linked to empirical data. We have already seen how it was incompatible in<br />

substance with the assumption that the earth moves. 116 It is not an accident<br />

that Ptolemy, who reverted to an Aristotelian notion <strong>of</strong> space, rejected<br />

the earth’s motions, or that Galileo, embracing heliocentrism, repudiated<br />

absolute space and arrived at the principle <strong>of</strong> relativity. In Newton, by<br />

contrast, absolute space coexists with Aristarchan heliocentrism (which<br />

114 <strong>The</strong>re is no literature on de Dominis’ scientific writings, other than the already cited [Ziggelaar]<br />

and some allusions to his theory <strong>of</strong> the rainbow, made inevitable by Newton’s references to it (see<br />

page 303). A recent scientific history <strong>of</strong> tides ([Cartwright]) makes no mention <strong>of</strong> the Euripus — nor,<br />

for that matter, <strong>of</strong> Dondi’s work, while Crisogono’s is mentioned in a note (on p. 23) as if it had<br />

never been printed.<br />

115 Newton, Philosophiae Naturalis Principia mathematica, Definitions, scholium, at 35%, Motte trans-<br />

lation (as revised by Cajori).<br />

116 See page 74.<br />

Revision: 1.11 Date: 2003/01/06 07:48:20<br />

page 394

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