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hypothetical syllogism

From "if P, then Q" and "if Q, then R," conclude "if P, then R."

Hypothetical syllogism is the valid form that chains two conditionals: if P, then Q; if Q, then R; therefore if P, then R. The consequent of the first conditional must be the antecedent of the second.

Examples

  • "If I oversleep, I miss the bus. If I miss the bus, I'm late. So if I oversleep, I'm late."

See also

conditional modus ponens
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