Our first knowledge, thus, is a product of the economy of
self-preservation. By communication, the experience of _many_ persons,
individually acquired at first, is collected in _one_. The communication
of knowledge and the necessity which every one feels of managing his
stock of experience with the least expenditure of thought, compel us to
put our knowledge in economical forms. But here we have a clue which
strips science of all its mystery, and shows us what its power really
is. With respect to specific results it yields us nothing that we could
not reach in a sufficiently long time without methods. There is no
problem in all mathematics that cannot be solved by direct counting. But
with the present implements of mathematics many operations of counting
can be performed in a few minutes which without mathematical methods
would take a lifetime. Just as a single human being, restricted wholly
to the fruits of his own labor, could never amass a fortune, but on the
contrary the accumulation of the labor of many men in the hands of one
is the foundation of wealth and power, so, also, no knowledge worthy of
the name can be gathered up in a single human mind limited to the span
of a human life and gifted only with finite powers, except by the most
exquisite economy of thought and by the careful amassment of the
economically ordered experience of thousands of co-workers. What strikes
us here as the fruits of sorcery are simply the rewards of excellent
housekeeping, as are the like results in civil life. But the business of
science has this advantage over every other enterprise, that from _its_
amassment of wealth no one suffers the least loss. This, too, is its
blessing, its freeing and saving power.
The recognition of the economical character of science will now help us,
perhaps, to understand better certain physical notions.
Those elements of an event which we call "cause and effect" are certain
salient features of it, which are important for its mental reproduction.
Their importance wanes and the attention is transferred to fresh
characters the moment the event or experience in question becomes
familiar. If the connexion of such features strikes us as a necessary
one, it is simply because the interpolation of certain intermediate
links with which we are very familiar, and which possess, therefore,
higher authority for us, is often attended with success in our
explanations. That _ready_ experience fixed in the mosaic of the mind
with which we meet new events, Kant calls an innate concept of the
understanding (_Verstandesbegriff_).
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