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SCIENCE 587<br />

fication, Grosseteste assumed the principle ofthe uniformity of<br />

nature, and was guided in his choice of possible theories by<br />

the principle of economy. An important philosophical con/<br />

sequence of his logical analysis was his conclusion that<br />

scientific theories are at best probable, and not necessarily true.<br />

His understanding of these matters established the methods<br />

and interpretations ofscience developed by his successors both<br />

in Oxford and abroad.<br />

Grosseteste's interest in optics was directly related to his<br />

second contribution to the scientific methods of his time. For<br />

two reasons, one methodological and the other metaphysical, he<br />

held that methematics was essential for a scientific understand'<br />

ing of the physical world. The method by which he used<br />

mathematics for this<br />

purpose was Aristotle's<br />

principle<br />

of'sub/<br />

ordination*, according to which some physical sciences, for<br />

example optics and astronomy, were logically subordinate to<br />

a mathematical science, for example geometry, in the sense that<br />

they used particular cases of general mathematical laws. Grosse/<br />

teste held that mathematics could be used to describe wl?at<br />

happened, for example the reflection and refraction of light and<br />

the movements of the planets, but that the mathematical ex/<br />

pressions did not reveal the physical cause ofthese optical and<br />

astronomical laws, which was to be sought in the nature ofthe<br />

substances involved. This distinction between mathematical<br />

and physical laws, analogous to the modern distinction between<br />

kinematics and dynamics, had been developed by Simplicius,<br />

from whom Grosseteste undoubtedly learnt it.<br />

Grosseteste's conception of the nature of fundamental<br />

physical substance was a peculiar one which provided his<br />

second reason for holding that mathematics was essential for<br />

physical inquiry; he maintained that the fundamental physical<br />

substance was a fundamental 'light* (lux\ not identical with,<br />

but manifesting itself in, visible light. In a short treatise, De Luce,<br />

he described how in the beginning God created formless<br />

matter and a point of this fundamental light; this propagated<br />

itself in a sphere and produced the dimensions of space, and<br />

then, by^a complicated series of changes and interactions, the

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