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.-Again, every object of understanding or reason the
understanding either affirms or denies-this is obvious from the
definition-whenever it says what is true or false. When it connects in
one way by assertion or negation, it says what is true, and when it
does so in another way, what is false.-Again, there must be an
intermediate between all contradictories, if one is not arguing merely
for the sake of argument; so that it will be possible for a man to say
what is neither true nor untrue, and there will be a middle between
that which is and that which is not, so that there will also be a kind
of change intermediate between generation and destruction.-Again, in
all classes in which the negation of an attribute involves the
assertion of its contrary, even in these there will be an
intermediate; for instance, in the sphere of numbers there will be
number which is neither odd nor not-odd. But this is impossible, as is
obvious from the definition.-Again, the process will go on ad
infinitum, and the number of realities will be not only half as
great again, but even greater. For again it will be possible to deny
this intermediate with reference both to its assertion and to its
negation, and this new term will be some definite thing; for its
essence is something different.-Again, when a man, on being asked
whether a thing is white, says 'no', he has denied nothing except that
it is; and its not being is a negation
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