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- Denying_the_antecedent abstract "Denying the antecedent, sometimes also called inverse error or fallacy of the inverse, is a formal fallacy of inferring the inverse from the original statement. It is committed by reasoning in the form:If P, then Q.Not P.Therefore, not Q.Arguments of this form are invalid. Informally, this means that arguments of this form do not give good reason to establish their conclusions, even if their premises are true.The name denying the antecedent derives from the premise "not P", which denies the "if" clause of the conditional premise.One way to demonstrate the invalidity of this argument form is with a counterexample with true premises but an obviously false conclusion. For example:If it rains, then the grass gets wet.It is not raining.Therefore, the grass is not wet.The argument is invalid because there are other reasons for which the grass could be wet (being sprayed with water by a hose, for example). Another example:If Queen Elizabeth is an American citizen, then she is a human being.Queen Elizabeth is not an American citizen.Therefore, Queen Elizabeth is not a human being.That argument is obviously bad, but arguments of the same form can sometimes seem superficially convincing, as in the following example offered, with apologies for its lack of logical rigour, by Alan Turing in the article "Computing Machinery and Intelligence":If each man had a definite set of rules of conduct by which he regulated his life he would be no better than a machine. But there are no such rules, so men cannot be machines.However, men could still be machines that do not follow a definite set of rules. Thus this argument (as Turing intends) is invalid.It is possible that an argument that denies the antecedent could be valid, if the argument instantiates some other valid form. For example, if the claims P and Q express the same proposition, then the argument would be trivially valid, as it would beg the question. In everyday discourse, however, such cases are rare, typically only occurring when the "if-then" premise is actually an "if and only if" claim (i.e., a biconditional/equality). For example:If I am President of the United States, then I can veto Congress.I am not President.Therefore, I cannot veto Congress.The above argument is not valid, but would be if the first premise ended thus: "...and if I can veto Congress, then I am the U.S. President" (as is in fact true). More to the point, the validity of the new argument stems not from denying the antecedent, but modus tollens (denying the consequent).".
- Denying_the_antecedent wikiPageExternalLink denyante.html.
- Denying_the_antecedent wikiPageExternalLink antecedent.
- Denying_the_antecedent wikiPageID "144793".
- Denying_the_antecedent wikiPageRevisionID "585776535".
- Denying_the_antecedent hasPhotoCollection Denying_the_antecedent.
- Denying_the_antecedent subject Category:Dichotomies.
- Denying_the_antecedent subject Category:Logic.
- Denying_the_antecedent subject Category:Propositional_fallacies.
- Denying_the_antecedent type Abstraction100002137.
- Denying_the_antecedent type Arrangement107938773.
- Denying_the_antecedent type Classification107939638.
- Denying_the_antecedent type Cognition100023271.
- Denying_the_antecedent type Content105809192.
- Denying_the_antecedent type Dichotomies.
- Denying_the_antecedent type Dichotomy107939880.
- Denying_the_antecedent type Fallacy105893916.
- Denying_the_antecedent type Group100031264.
- Denying_the_antecedent type Idea105833840.
- Denying_the_antecedent type Misconception105893653.
- Denying_the_antecedent type PropositionalFallacies.
- Denying_the_antecedent type PsychologicalFeature100023100.
- Denying_the_antecedent comment "Denying the antecedent, sometimes also called inverse error or fallacy of the inverse, is a formal fallacy of inferring the inverse from the original statement. It is committed by reasoning in the form:If P, then Q.Not P.Therefore, not Q.Arguments of this form are invalid.".
- Denying_the_antecedent label "Denying the antecedent".
- Denying_the_antecedent label "Negación del antecedente".
- Denying_the_antecedent label "Negazione dell'antecedente".
- Denying_the_antecedent label "Negação do antecedente".
- Denying_the_antecedent label "Négation de l'antécédent".
- Denying_the_antecedent label "前件否定".
- Denying_the_antecedent label "否定前件".
- Denying_the_antecedent sameAs Άρνηση_του_ηγουμένου.
- Denying_the_antecedent sameAs Negación_del_antecedente.
- Denying_the_antecedent sameAs Négation_de_l'antécédent.
- Denying_the_antecedent sameAs Negazione_dell'antecedente.
- Denying_the_antecedent sameAs 前件否定.
- Denying_the_antecedent sameAs Negação_do_antecedente.
- Denying_the_antecedent sameAs m.012cck.
- Denying_the_antecedent sameAs Q2296529.
- Denying_the_antecedent sameAs Q2296529.
- Denying_the_antecedent sameAs Denying_the_antecedent.
- Denying_the_antecedent wasDerivedFrom Denying_the_antecedent?oldid=585776535.
- Denying_the_antecedent isPrimaryTopicOf Denying_the_antecedent.