Strict conditional: Difference between revisions

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==Avoiding paradoxes==
The strict conditional avoids the [[paradoxes of material implication]]. The following statement, for example, is not correctly formalized by material implication.:
 
: If Bill Gates had graduated in Medicine, then Elvis never died.
 
This condition should clearly be false: the degree of Bill Gates has nothing to do with whether Elvis is still alive. However, the direct encoding of this formula in [[classical logic]] using material implication leadleads to:
 
: Bill Gates graduated in Medicine <math>\rightarrow</math> Elvis never died.