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
Professor Clifford proceeds to explain that Thomson’s formulæ only give
a limit to the heat history of, say, the earth’s crust in the solid
state. We are led back to the time when it became solidified from the
fluid condition. There is discontinuity in the history of the solid
matter, but still discontinuity which is within our comprehension.
Still further back we should come to discontinuity again, when the
liquid was formed by the condensation of heated gaseous matter. Beyond
that event, however, there is no need to suppose further discontinuity
of law, for the gaseous matter might consist of molecules which had
been falling together from different parts of space through infinite
past time. As Professor Clifford says (p. 481) of the bodies of the
universe, “What they have actually done is to fall together and get
solid. If we should reverse the process we should see them separating
and getting cool, and as a limit to that, we should find that all these
bodies would be resolved into molecules, and all these would be flying
away from each other. There would be no limit to that process, and we
could trace it as far back as ever we liked to trace it.”
Assuming that I have erred, I should like to point out that I have
erred in the best company, or more strictly, being a speculator, I
have been led into error by the best physical writers. Professor Tait,
in his *Sketch of Thermodynamics*, speaking of the laws discovered by
Fourier for the motion of heat in a solid, says, “Their mathematical
expressions point also to the fact that a uniform distribution of heat,
or a distribution tending to become uniform, must have arisen from some
primitive distribution of heat of a kind not capable of being produced
by known laws from any previous distribution.” In the latter words it
will be seen that there is no limitation to the laws of conduction,
and, although I had carefully referred to Sir W. Thomson’s original
paper, it is not unnatural that I should take Professor Tait’s
interpretation of its meaning.[21]
[21] Sir W. Thomson’s words are as follows (*Cambridge Mathematical
Journal*, Nov. 1842, vol. iii. p. 174). “When *x* is negative, the
state represented cannot be the result of any *possible* distribution
of temperature which has previously existed.” There is no limitation
in the sentence to the laws of conduction, but, as the whole paper
treats of the results of conduction in a solid, it may no doubt be
understood that there is a *tacit* limitation. See also a second
paper on the subject in the same journal for February, 1844, vol. iv.
p. 67, where again there is no expressed limitation.
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