Vacuous Truth
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High Quality Content by WIKIPEDIA articles! A vacuous truth is a truth that is devoid of content because it asserts something about all members of a class that is empty or because it says "If A then B" when in fact A is false. For example, the statement "all cell phones in the room are turned off" may be true simply because there are no cell phones in the room. More formally, a relatively well-defined usage refers to a conditional statement with a false antecedent. One example of such a statement is "if Uluru is in France, then the Eiffel tower is in Bolivia". Such statements are considered va...
High Quality Content by WIKIPEDIA articles! A vacuous truth is a truth that is devoid of content because it asserts something about all members of a class that is empty or because it says "If A then B" when in fact A is false. For example, the statement "all cell phones in the room are turned off" may be true simply because there are no cell phones in the room. More formally, a relatively well-defined usage refers to a conditional statement with a false antecedent. One example of such a statement is "if Uluru is in France, then the Eiffel tower is in Bolivia". Such statements are considered vacuous because the falsity of the antecedent prevents one from using the conditional to infer the consequent. They are true because a material conditional is defined to be true when the antecedent is false (or the conclusion is true).
