Appletons' Popular Science Monthly, January 1900: Vol. 56, November, 1899 to April, 1900Various
Science
Appletons' Popular Science Monthly, January 1900: Vol. 56, November, 1899 to April, 1900
Various
Science -- Periodicals; Technology -- Periodicals
From a sin of omission let us pass to a sin of commission. Professor
Ward quotes from me the sentence--“The absolutely homogeneous must
lose its equilibrium; and the relatively homogeneous must lapse into
the relatively less homogeneous.”--_First Principles_, p. 429. Then
presently he writes:--
“In truth, however, homogeneity is not necessarily instability.
Quite otherwise. If the homogeneity be absolute--that of Lord
Kelvin’s primordial medium, say--the stability will be absolute
too. In other words, if ‘the indefinite, incoherent homogeneity,’
in which, according to Mr. Spencer, some rearrangement _must
result_, be a state devoid of all qualitative diversity and without
assignable bounds, then, as we saw in discussing mechanical ideals,
any ‘rearrangement’ can result only from external interference; it
can not begin from within” (i., 223).
And then he goes on to argue that “Thus, the very first step in Mr.
Spencer’s evolution seems to necessitate a breach of continuity. This
fatal defect, &c.” (_ibid._).
Observe the words “without assignable bounds”--without knowable limits,
infinite. So that the law of the instability of the homogeneous is
disposed of because it does not apply to an infinite homogeneous
medium. But since infinity is inconceivable by us, this alleged
case of stable homogeneity is inconceivable too. Hence the proposal
is to shelve the law displayed in all things we know, because it
is inapplicable to a hypothetical thing we can not know, and can
not even conceive! Now let me turn to the essential point. This
nominally-exceptional case was fully recognized by me in the chapter
he is criticising. In § 155 of _First Principles_ (p. 429), it is
written:--
“One stable homogeneity only, is hypothetically possible. If
centers of force, absolutely uniform in their powers, were diffused
with absolute uniformity through unlimited space, they would remain
in equilibrium. This, however, though a verbally intelligible
supposition, is one that can not be represented in thought; since
unlimited space is inconceivable.”
So that this nominal exception which Professor Ward urges against me as
a “fatal defect,” was set forth by me thirty-seven years ago!
A somewhat more involved case may next be dealt with. Professor Ward
writes:--
“Moreover, on the physical assumption from which Mr. Spencer sets
out, viz., that the mass of the universe and the energy of the
universe are fixed in quantity--which ought to mean are finite
in quantity--there can be no such alternations [of evolution and
dissolution] as he supposes” (i., 192).
After some two pages of argument, he goes on:--
Public-domain text, read in full here on John Shaqi.
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