The principles of science : $b a treatise on logic and scientific methodJevons, William Stanley
Philosophy
The principles of science : $b a treatise on logic and scientific method
Jevons, William Stanley
Logic; Science -- Methodology
In a practical point of view, as Professor Maxwell would be the first
to point out, they are of little or no value, because in the present
state of science we cannot measure a vibration or weigh an atom with
any approach to the accuracy which is attainable in the comparison
of standard metres and kilograms. The velocity of light is not known
probably within a thousandth part, and as we progress in the knowledge
of light, so we shall progress in the accurate fixation of other
standards. All that can be said then, is that it is very desirable
to determine the wave-lengths and periods of the principal lines of
the solar spectrum, and the absolute atomic weights of the elements,
with all attainable accuracy, in terms of our existing standards. The
numbers thus obtained would admit of the reproduction of our standards
in some future age of the world to a corresponding degree of accuracy,
were there need of such reference; but so far as we can see at present,
there is no considerable probability that this mode of reproduction
would ever be the best mode.
*Subsidiary Units.*
Having once established the standard units of time, space, and density
or mass, we might employ them for the expression of all quantities
of such nature. But it is often convenient in particular branches of
science to use multiples or submultiples of the original units, for the
expression of quantities in a simple manner. We use the mile rather
than the yard when treating of the magnitude of the globe, and the
mean distance of the earth and sun is not too large a unit when we
have to describe the distances of the stars. On the other hand, when
we are occupied with microscopic objects, the inch, the line or the
millimetre, become the most convenient terms of expression.
It is allowable for a scientific man to introduce a new unit in any
branch of knowledge, provided that it assists precise expression,
and is carefully brought into relation with the primary units. Thus
Professor A. W. Williamson has proposed as a convenient unit of
volume in chemical science, an absolute volume equal to about 11·2
litres representing the bulk of one gram of hydrogen gas at standard
temperature and pressure, or the *equivalent* weight of any other
gas, such as 16 grams of oxygen, 14 grams of nitrogen, &c.; in short,
the bulk of that quantity of any one of those gases which weighs as
many grams as there are units in the number expressing its atomic
weight.[225] Hofmann has proposed a new unit of weight for chemists,
called a *crith*, to be defined by the weight of one litre of hydrogen
gas at 0° C. and 0°·76 mm., weighing about 0·0896 gram.[226] Both of
these units must be regarded as purely subordinate units, ultimately
defined by reference to the primary units, and not involving any new
assumption.
[225] *Chemistry for Students*, by A. W. Williamson. Clarendon Press
Series, 2nd ed. Preface p. vi.
[226] *Introduction to Chemistry*, p. 131.
*Derived Units.*
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