material implication, paradoxes of
- 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.
Look at other dictionaries:
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