
66 DISCRETE MATHEMATIC..._
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Finally, we discuss about "necessary" and "sufficient". These words come from math terms. For ex-
ample, if we say that, such and such is a
necessary condition for something to occur, then what this means is
that,
if
that something occurs, then this "necessary" thing had to have been one
of
the causes. For example, "it
is necessary for all to be present at the meeting, for it to
be
a success", which means,
"if
the meeting was a
success, all were
there". So, if we say "
pis
necessary for q", this translates to (q
~
p).
On the other hand "sufficient" is used as, "for a plant to survive, it ...