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 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).

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130323738
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H220mm x B150mm x T5mm
    • Jahr 2009
    • EAN 9786130323738
    • Format Kartonierter Einband
    • ISBN 978-613-0-32373-8
    • Titel Vacuous Truth
    • Untertitel Mobile Phone, Counterfactual Conditional, Antecedent (logic), Material Conditional, Pure Mathematics, Classical Logic, Intuitionistic Logic, Propositional Calculus, Formal System
    • Gewicht 130g
    • Herausgeber Betascript Publishers
    • Anzahl Seiten 76
    • Genre Mathematik

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