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material conditional (logical operator) INFORM, MAT

materiale Implikation

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inglese

The only difference from material conditional is the case when the hypothesis is false but the conclusion is true. en.wikipedia.org

They are true because a material conditional is defined to be true when the antecedent is false (regardless of whether the conclusion is true). en.wikipedia.org

But logical conditionals accounting only for necessity and sufficiency do not always reflect every day if-then reasoning, and for this reason they are sometimes known as material conditionals. en.wikipedia.org

Unlike the material conditional, an indicative conditional does not have a stipulated definition. en.wikipedia.org

See also the paradoxes of the material conditional for more information. en.wikipedia.org

With respect to the material conditionals above, "p" is termed the "antecedent", and "q" the "consequent" of the conditional. en.wikipedia.org

The material conditional is also to be distinguished from logical consequence. en.wikipedia.org

Similarly, any material conditional with a true consequent is true. en.wikipedia.org

This is closer to intuitionist and constructivist views on the material conditional, rather than to classical logic's ones. en.wikipedia.org

Another issue is that the material conditional is not designed to deal with counterfactuals and other cases that people often find in if-then reasoning. en.wikipedia.org

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