The various sciences are constantly occupied with this work of the
mutual adaptation of the concepts that enter into a causal relation. By
way of example, we may take the "self-understood" proposition which we
use when we call out to a careless child when it sticks its finger into
the flame of a candle, "Fire burns!" We discover that there are
self-luminous bodies which produce no increase of temperature, and
therefore no sensation of pain. We discover that there are processes of
combustion that develop no light, but heat enough to burn one's
fingers. And, finally, the scientific investigation of this proposition
arrives at the general expression that, as a rule, chemical processes
are accompanied by the development of heat, but that, conversely, such
processes may also be accompanied by the absorption of heat. In this way
that casual sentence which we call out to the child develops into the
extensive science of thermo-chemistry when it is subjected to the
continuous purification of the causal relation, which is the general
task of science.
It remains to be added that in this process of adapting concepts it is
necessary also sometimes to follow the opposite course. This is the case
when _exceptions_ are noticed in a relation as expressed for the time
being; when, therefore, the proposition if A is present, then B is
present also, is in a great many instances valid, but occasionally
fails. This is an indication that in the concept A an element is still
lacking. This element, however, is present in the instances that tally,
but absent in the negative cases, and its absence is not noticed because
it is not contained in A. Then it is necessary to seek this part, and
after it has been found, to embody it in the concept A, which thus
passes into the new concept A´.
This case is the obverse of the former one. Here the more suitable
concept proves to be less general than the concept accepted temporarily,
while in the first case the improved concept is more general. Hence we
formulate the rule: exceptions to the temporary rule require a
limitation, while an unforeseen freedom requires an extension, of the
accepted concept.
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