rived at
these same conclusions by another route. By a process of
mathematical reasoning of a sort too technical to be appropriately
given here, he discovers an order in which our categories range
themselves naturally, and which corresponds with the points of space;
and that this order presents itself in the form of what he calls a
"three circuit distribution board." "Thus the characteristic property
of space," he says, "that of having three dimensions, is only a
property of our distribution board, _a property residing, so to speak,
in human intelligence_." He concludes that a different association
of ideas would result in a different distribution board, and that
might be sufficient to endow space with a fourth dimension. He
concedes that there may be thinking beings, living in our world,
whose distribution board has four dimensions, and who do
consequently think in hyperspace.

THE NEED OF AN ENLARGED SPACE-CONCEPT

It is the contrariety in phenomena already referred to, that is
forcing advanced minds to entertain the idea of higher space.
Mathematical physicists have found that experimental contradictions
disappear if, instead of referring phenomena to a set of three space
axes and one time axis of reference, they be referred to a set of
four interchangeable axes involving four homogeneous co-ordinates.
In other words, _time_ is made the fourth dimension. Psychic
phenomena indicate that occasionally, in some individuals,
the will is capable of producing physical movements for whose
geometrico-mathematical definition a four-dimensional system of
co-ordinates is necessary. This is only another step along the road
which the human mind has always travelled: our conception of the
cosmos grows more complete and more just at the same time that it
recedes more and more beneath the surface of appearances.

Far from the Higher Space Hypothesis complicating thought, it
simplifies by synthesis and co-ordination in a manner analogous to
that by which plane geometry is simplified when solid geometry
becomes a subject of study. By immersing the mind in the idea of
many dimensions, we emancipate it from the idea of dimensionality.
But the mind moves most readily, as has been said, in ordered
sequence. Frankly submitting ourselves to this limitation, even
while recognizing it as such, let us learn such lessons from it as
we can, serving the illusions that master us until we have made them
our slaves.

II THE DIMENSIONAL