necessary condition
Given two propositions to and with b implies that b (a → b). We can say that the result is b necessary condition for premise a.
Examples:
r: "John lives in Torino"
w "Gianni fans of Juventus'
q = r → w:" If John lives in Turin, then fans Juventus'
Obviously not all people who live in Turin Juventus cheering, then q is false only if John lives in Turin and Juventus fans, in other cases it is true. In logic, r → w implies that w is a necessary condition for r, but in reality has no meaning, because to live in Turin, Juve do not have to cheer.
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