It is important to realize, in the first place, that there is not the
slightest reason _à priori_ why this should not be the case. People
unaccustomed to non-Euclidean geometry may feel that, even if such a
thing be _logically_ possible, the world simply _cannot_ be so odd
as all that. We all have a tendency to think that the world must
conform to our prejudices. The opposite view involves some effort of
thought, and most people would die sooner than think—in fact, they
do so. But the fact that a spherical universe seems odd to people
who have been brought up on Euclidean prejudices is no evidence that
it is impossible. There is no law of nature to the effect that what
is taught at school must be true. We cannot therefore dismiss the
hypothesis of a spherical universe as in any degree less worthy of
examination than any other. We have to ask ourselves the same two
questions as we should in any other case, namely: (1) Are the facts
consistent with this hypothesis? (2) Is this hypothesis the only one
with which the facts are consistent?
With regard to the first question, the answer is undoubtedly in the
affirmative. All the known facts are perfectly consistent with the
hypothesis of a spherical universe. A very slight modification of the
law of gravitation—a modification suggested by Einstein himself—leads
to a spherical space, without producing any measurable differences in a
small region such as the solar system. The known stars are all within
a certain distance from us. There is nothing whatever in the stellar
universe as we know it to show that space must be infinite. There can
therefore be no doubt whatever that, so far as our present knowledge
goes, the hypothesis of a finite universe _may_ be true.
Public-domain text, read in full here on John Shaqi.
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