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πλ
12

mechanically constrained to do, thus drawing attention to
the plenum of reason throughout the material universe.
Among logical machines none are feebler than those that have
been expressly designed as such. The fast yacht is a reasoning
machine that solves problems in hydrodynamics far exceeding
the powers of the mathematical analysis of our age.

In order to ascertain the relations between thought, thinking,
and a sign, it will be necesary to give some defintions
of these terms, unsatisfactory though these definitions
may be. A sign seems to be connected with a purpose or
end. An object may be said to have an end, if it has such a
tendency to bring about a certain description of result, that
if one mechanism for bringing that result about be pre-

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