- material implication, paradoxes of
- The truth-function of material implication gives a proposition p → q which is true except in the case in which p is true and q is false. It also corresponds fairly well to the conditional form ‘If p then q ’. But whenever p is false, p → q is true, and whenever q is true, p → q is true. So ‘If Paddington Station is in France, London is in England’ is true (it has a true consequent) and ‘If the moon is made of cheese, it is made of ketchup’ is true (it has a false antecedent). The ‘paradox’ is not a genuine paradox, but puts some pressure on the identification of the conditional form as it is found in natural languages, with material implication.
Philosophy dictionary. Academic. 2011.
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