nd therefore a
higher value.

I understand, he said, that you are speaking of the province of
geometry and the sister arts.

And when I speak of the other division of the intelligible, you will
understand me to speak of that other sort of knowledge which reason
herself attains by the power of dialectic, using the hypotheses not as
first principles, but only as hypotheses--that is to say, as steps and
points of departure into a world which is above hypotheses, in order
that she may soar beyond them to the first principle of the whole; and
clinging to this and then to that which depends on this, by successive
steps she descends again without the aid of any sensible object, from
ideas, through ideas, and in ideas she ends.

I understand you, he replied; not perfectly, for you seem to me to be
describing a task which is really tremendous; but, at any rate, I
understand you to say that knowledge and being, which the science of
dialectic contemplates, are clearer than the notions of the arts, as
they are termed, which proceed from hypotheses only: these are also
contemplated by the understanding, and not by the senses: yet, because
they start from hypotheses and do not ascend to a principle, those who
contemplate them appear to you not to exercise the higher reason upon
them, although when a first principle is added to them they are
cognizable by the higher reason. And the habit which is concerned with
geometry and the cognate sciences I suppose that you would term
understanding and not reason, as being intermediate between opinion and
reason.

You have quite conceived my meaning, I said; and now, corresponding to
these four divisions, let there be four faculties in the soul-reason
answering to the highest, understanding to the second, faith (or
conviction) to the third, and perception of shadows to the last-and let
there be a scale of them, and let us suppose that the several faculties
have clearness in the same degree that their objects have truth.

I understand, he replied, and give my assent, and accept your
arrangement.

BOOK VII

SOCRATES - GLAUCON

AND now, I said, let me show in a figure how far our nature is
enlightened or unenlightened:--Behold! human beings living in a
underground den, which has a mouth open towards the light and reaching
all along the den; here they have been from their childhood, and have
their legs and necks chained so that they cannot move, and can only see
before them, be