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logic:inferences:modus_ponens [13.04.26, 20:37:41] – [Other names] saschalogic:inferences:modus_ponens [13.04.26, 20:42:15] (current) – [Fallacies] sascha
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 ^Conclusion |  B  | |  <s invalid short">A</s>  |  <s "nicht-B" invalid short2">⌐B</s> <small>(not B)</small>  | ^Conclusion |  B  | |  <s invalid short">A</s>  |  <s "nicht-B" invalid short2">⌐B</s> <small>(not B)</small>  |
 </div> </div>
 +
 +These fallacies can be summarized as follows:
 +
 +  * In case of an [[logic:formal_fallacies:affirming_the_consequent|affirmation of the consequent]], the direction of inference in the conditional statement is reversed: the //consequent// is thus made the //antecedent// and vice versa, which is not a valid transformation (<span maniculus "more info:">[[paralogisms:illicit_commutation/index|illicit commutation]]</span>).
 +
 +  * When [[logic:formal_fallacies:denying_the_antecedent|denying the antecedent]], one mistakenly assumes that a //negated consequent// can be inferred from a //negated antecedent//. This, too, is not a valid transformation.
 +
 +Both fallacies are described in more detail in the linked articles. 
 ===== See also ===== ===== See also =====
  

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