Essays: Scientific, Political, & Speculative; Vol. 1 of 3: Library Edition (1891), Containing Seven Essays not before Republished, and Various other Additions.Spencer, Herbert
Philosophy
Essays: Scientific, Political, & Speculative; Vol. 1 of 3: Library Edition (1891), Containing Seven Essays not before Republished, and Various other Additions.
Spencer, Herbert
Philosophy; Political science; Science
That by any series of changes a protozoon should ever become a mammal,
seems to those who are not familiar with zoology, and who have not seen
how clear becomes the relationship between the simplest and the most
complex forms when intermediate forms are examined, a very grotesque
notion. Habitually looking at things rather in their statical aspect
than in their dynamical aspect, they never realize the fact that, by
small increments of modification, any amount of modification may in time
be generated. That surprise which they feel on finding one whom they
last saw as a boy, grown into a man, becomes incredulity when the degree
of change is greater. Nevertheless, abundant instances are at hand of
the mode in which we may pass to the most diverse forms by insensible
gradations. Arguing the matter some time since with a learned professor,
I illustrated my position thus:--You admit that there is no apparent
relationship between a circle and an hyperbola. The one is a finite
curve; the other is an infinite one. All parts of the one are alike; of
the other no parts are alike [save parts on its opposite sides]. The one
incloses a space; the other will not inclose a space though produced for
ever. Yet opposite as are these curves in all their properties, they may
be connected together by a series of intermediate curves, no one of
which differs from the adjacent ones in any appreciable degree. Thus, if
a cone be cut by a plane at right angles to its axis we get a circle.
If, instead of being perfectly at right angles, the plane subtends with
the axis an angle of 89° 59´, we have an ellipse which no human eye,
even when aided by an accurate pair of compasses, can distinguish from a
circle. Decreasing the angle minute by minute, the ellipse becomes first
perceptibly eccentric, then manifestly so, and by and by acquires so
immensely elongated a form, as to bear no recognizable resemblance to a
circle. By continuing this process, the ellipse passes insensibly into a
parabola; and, ultimately, by still further diminishing the angle, into
an hyperbola. Now here we have four different species of curve--circle,
ellipse, parabola, and hyperbola--each having its peculiar properties
and its separate equation, and the first and last of which are quite
opposite in nature, connected together as members of one series, all
producible by a single process of insensible modification.
Public-domain text, read in full here on John Shaqi.
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