There are two notable emancipations of the mind from the tyranny of
mere appearances that have received scant attention save from
mathematicians and theoretical physicists. In 1823 Bolyai declared
with regard to Euclid's so-called axiom of parallels, "I will draw
two lines through a given point, both of which will be parallel to
a given line." The drawing of these lines led to the concept of the
curvature of space, and this to the idea of higher space. The
recently developed Theory of Relativity has compelled the revision
of the time concept as used in classical physics. One result of
this has been to introduce the notion of curved time. These two
ideas, of curved time and higher space, by their very nature are
bound to profoundly modify human thought. They loosen the bonds
within which advancing knowledge has increasingly labored, they
lighten the dark abysses of consciousness, they reconcile the
discoveries of Western workers with the inspirations of Eastern
dreamers; but best of all, they open vistas, they offer "glimpses
that may make us less forlorn."
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