Necessity and Sufficiency - Definitions

Definitions

A necessary condition of a statement must be satisfied for the statement to be true. In formal terms, a statement N is a necessary condition of a statement S if S implies N (S N).

A sufficient condition is one that, if satisfied, assures the statement's truth. In formal terms, a statement S is a sufficient condition of a statement N if S implies N (S N).

S implies N
S N S N
T T T
T F F
F T T
F F T

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