The English public is not yet ripe to comprehend the essential difference
between the reason and the understanding--between a principle and a maxim--
an eternal truth and a mere conclusion generalized from a great number of
facts. A man, having seen a million moss roses all red, concludes from his
own experience and that of others that all moss roses are red. That is a
maxim with him--the _greatest_ amount of his knowledge upon the subject.
But it is only true until some gardener has produced a white moss rose,--
after which the maxim is good for nothing. Again, suppose Adam watching the
sun sinking under the western horizon for the first time; he is seized with
gloom and terror, relieved by scarce a ray of hope that he shall ever see
the glorious light again. The next evening, when it declines, his hopes are
stronger, but still mixed with fear; and even at the end of a thousand
years, all that a man can feel is a hope and an expectation so strong as to
preclude anxiety. Now compare this in its highest degree with the assurance
which you have that the two sides of any triangle are together greater than
the third. This, demonstrated of one triangle, is seen to be eternally true
of all imaginable triangles. This is a truth perceived at once by the
intuitive reason, independently of experience. It is and must ever be so,
multiply and vary the shapes and sizes of triangles as you may.
* * * * *
It used to be said that four and five _make_ nine. Locke says, that four
and five _are_ nine. Now I say, that four and five _are not_ nine, but that
they will _make_ nine. When I see four objects which will form a square,
and five which will form a pentagon, I see that they are two different
things; when combined, they will form a third different figure, which we
call nine. When separate they _are not_ it, but will _make_ it.
_September_ 11. 1831.