and spiritual wealth, animals are not; man is a builder of civilization,
animals are not; man makes the _past live in the present and the present
in the future_, animals do not; man is thus a _binder of time_, animals
are not. In the light of such considerations, if only we will attend to
their mighty significance, it is as clear as anything can be or can
become, that the life of man—the time-binder—is as radically distinct from
that of animals—mere space-binders—as animal life is distinct from that of
plants or as the nature of a solid is distinct from that of a surface, or
that of a surface from that of a line. It is, therefore, perfectly
manifest that, when we regard human beings as animals or as mixtures of
animal nature with something mysteriously _super_natural, we are guilty of
the same _kind_ of blunder as if we regarded animals as plants or as
plants touched by “divinity”—the same _kind_ of blunder as that of
regarding a solid as a surface or as a surface miraculously transfigured
by some mysterious influence from outside the universe of space. It is
thus evident that our guilt in the matter is the guilt of a blunder that
is _fundamental_—a confusing of types, a mixing of dimensions.
Nothing can be more disastrous. For what are the consequences of that kind
of error? Let the reader reflect. He knows that, if our ancestors had
committed that kind of error regarding lines and surfaces and solids,
there would to-day be no science of geometry; and he knows that, if there
were no geometry, there would be no architecture in the world, no
surveying, no railroads, no astronomy, no charting of the seas, no
steamships, no engineering, nothing whatever of the now familiar
world-wide affairs made possible by the scientific conquest of space. I
say again, let the reader reflect; for if he does not, he will here miss
the gravity of a most momentous truth. He readily sees, in the case
supposed, how very appalling the consequences would have been if,
throughout the period of humanity’s childhood, there had occurred a
certain confusion of types, a certain mixing of dimensions, and he is
_enabled_ to see it just because, happily, the blunder was _not_ made or,
if made, was not persisted in, for, if it had been made and persisted in,
then the great and now familiar things of which it would have deprived the
world would not be here; we should not now be able even to imagine them,
and so we could not now compute even roughly the tremendous magnitude of
the blunder’s disastrous consequences. Let the reader not deviate nor
falter nor stagger here; let him shoulder the burden of the mighty
argument and bear it to the goal. He easily perceives the truly appalling
consequences that _would_ have inevitably followed from the error of
confusing types—the error of mixing dimensions—in the matter of lines and
surfaces and solids, _if_ that error had been committed and persisted in
throughout the centuries; he _can_ perceive those consequences just
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