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SCIENCE 585<br />

two Analytics the basic Greek conception of scientific exx<br />

planation, according to which a phenomenon was explained<br />

when it could be deduced from general principles<br />

or a theory<br />

connecting it with other phenomena, just as the conclusions<br />

ofEuclid's theorems were deduced from his axioms, postulates,<br />

and definitions, and the conclusions of previous theorems.<br />

Aristotle had given a generalized account of the method, and<br />

shown that there were definite rules for<br />

selecting premisses and<br />

for<br />

distinguishing between valid and invalid arguments, The<br />

first<br />

subjects to benefit from this new rational thinking were<br />

theology and law; its application<br />

to science at the end of the<br />

twelfth century was simply the last<br />

stage ofa general intellectual<br />

movement, and by that time the formal structure of the new<br />

method had been filled in with material examples from the<br />

many specialized scientific writings translated from the Greek<br />

and the Arabic. Of these Grosseteste had a wide knowledge,<br />

and he saw that ifscience was to progress in his time, the primary<br />

problems to be investigated were those of method. His own<br />

scientific work, begun before 1209 and continuing even after<br />

he became bishop of Lincoln in 1235, made two major con*"<br />

tributions.<br />

First, in commentaries on Aristotle's Posterior Analytics<br />

and Physics he made a systematic application of logical<br />

methods of analysis, verification, and falsification to the prob'<br />

lems of constructing and testing scientific theories by observa^<br />

tion and experiment. His methods can best be described by<br />

means ofa concrete example, the attempts made by himselfand<br />

his chief disciple, Roger Bacon, to explain the rainbow.<br />

Grosseteste wrote several short treatises on optics, leading up to<br />

one on the rainbow; Roger Bacon's account of the problem<br />

appears in his Opus Majus, and follows the lines laid down by<br />

Grosseteste. Bacon in fact gave it as an example of the experv<br />

mental method; his Opus Majus, Opus Minus, and Opus<br />

Tertium, all written in 1266-7, contain the chief thirteenth/*<br />

century development of Grosseteste's conceptions of expert<br />

mental and mathematical methods in science.<br />

The basic problem in searching for an explanation of a

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