## necessity and sufficiencyIn mathematical analysis, conditions which describe the validity of a statement.For example, in the case of 4 < a
< 10 it is necessary that, say, 3 < a < 11 since if this
were not true then the original statement would not be true; and sufficient
that 5 < a < 9, since is this is true it implies the truth of the
original statement. More generally, in logic,
a condition is necessary for the truth of a statement if the falsehood of
the condition implies the falsehood of the statement, and sufficient if
the truth of the condition implies the truth of the statement. See also
necessity. ## Related category• LOGIC | |||||

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