Paradoxes of Material Implication
978-613-3-06791-2
6133067918
72
2010-09-20
29,00 €
eng
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The paradoxes of material implication are a group of formulas which are truths of classical logic, but which are intuitively problematic. One of these paradoxes is the paradox of entailment.The root of the paradoxes lies in a mismatch between the interpretation of the validity of implication in natural language, and its formal interpretation in classical logic, dating back to George Boole's algebraic logic. Implication, in logic, describes conditional if-then statements, e.g., "if it is raining, then I will bring an umbrella," which in classical logic is given a truth-functional interpretation by means of reformulating it in terms of disjunction and negation, in this example, it is not raining, or I will bring an umbrella, or both. This truth-functional interpretation of implication is called material implication.
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