Kant—the genial grumbler who found it so horribly monotonous to see
the same sun shining, and the same spring blossoming, every year—took
his stand on metaphysical considerations when he affirmed that space is
infinite, and is sown with similar stars in all parts.
It is, perhaps, better to confine ourselves in such a matter to the
results of recent observation, and close the doors of our debating-room
against the fog of metaphysics. Indeed, the latter would compel us to
define pure space, about which we know nothing—not even if there is
such a thing.
The proof that we know little about it is the fact that the Newtonians
believe in it, while the Einsteinians regard it merely as an
inseparable attribute of material things. They define space by matter;
and they then have to define the latter. Descartes, on the contrary,
defined matter in terms of extension, which is the same thing as
space. It is a vicious circle. It is therefore better to leave Kant’s
metaphysical arguments out of our discussion, and adhere strictly to
experience, to what is measurable.
To simplify matters, we will admit the reality of this continuum in
which the stars float, which is traversed by their radiations, which
common sense calls space. If there were stars everywhere—if they were
infinite in number—there would also be space and matter everywhere.
Newtonians might find this a triumph equally with Einsteinians. Those
who believe in absolute space and those who deny it—Absolutists and
Relativists—would equally rejoice.
It would be fortunate if astronomical observation were to show that
the number of the stars is infinite, and thus the holders of contrary
opinions could both chant a victory in their writings. But what does
astronomical observation actually report?
There are those who deny _a priori_ that the number of the stars
can be infinite. That number, they said, is capable of increase; it is
therefore not infinite, because nothing can be added to the infinite.
The argument is specious, but unsound; although Voltaire himself was
seduced by it. One need not be a great mathematician to see that it
is always possible to add to an infinite number, and that there are
infinite quantities which are themselves infinitely small in comparison
with others. Let us get on to the facts.
If the stellar universe has no limits, there is no visual line drawn
from the earth to the heavens which will not encounter one of the
stars. The astronomer Olbers has said that the whole nocturnal sky
would in that case shine with the brilliance of the sun. But the total
brilliance of all the stars put together is only three thousand times
greater than that of a star of the first magnitude, or thirty million
times less than the light of the sun.
Public-domain text, read in full here on John Shaqi.
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