I am able to go one step with these last. An affirmative assertion and its
negative are not two independent assertions, connected with each other
only as mutually incompatible. That if the negative be true, the
affirmative must be false, really is a mere identical proposition; for the
negative proposition asserts nothing but the falsity of the affirmative,
and has no other sense or meaning whatever. The Principium Contradictionis
should therefore put off the ambitious phraseology which gives it the air
of a fundamental antithesis pervading nature, and should be enunciated in
the simpler form, that the same proposition can not at the same time be
false and true. But I can go no further with the Nominalists; for I can
not look upon this last as a merely verbal proposition. I consider it to
be, like other axioms, one of our first and most familiar generalizations
from experience. The original foundation of it I take to be, that Belief
and Disbelief are two different mental states, excluding one another. This
we know by the simplest observation of our own minds. And if we carry our
observation outward, we also find that light and darkness, sound and
silence, motion and quiescence, equality and inequality, preceding and
following, succession and simultaneousness, any positive phenomenon
whatever and its negative, are distinct phenomena, pointedly contrasted,
and the one always absent where the other is present. I consider the maxim
in question to be a generalization from all these facts.