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Propositional calculus

Conditional Statements

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Conditional Statements Conditional Statement: (p(q): If you like to sprint, then you are on the Track & Field team. Converse: (q(p): If you are on the Track & Field team, then you like to sprint. Inverse (~p(~q): If you do not like to sprint, then you are not on the Track & Field team. Contrapositive (~q(~p): If you are not on the Track & Field team, then you do not like to sprint. Biconditional (p(q): If you like to sprint, if and only if you are on the Track & Field team. The biconditional statement is false. It is false because the conditional statement is false. A person could like to sprint, but that does not mean that they are on the Track & Field team.
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