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  2. Denying the antecedent - Wikipedia

    en.wikipedia.org/wiki/Denying_the_antecedent

    Another example is: If I am President of the United States, then I can veto Congress. I am not President. Therefore, I cannot veto Congress. [This is a case of the fallacy denying the antecedent as written because it matches the formal symbolic schema at beginning. The form is taken without regard to the content of the language.]

  3. Modus tollens - Wikipedia

    en.wikipedia.org/wiki/Modus_tollens

    In propositional logic, modus tollens (/ ˈ m oʊ d ə s ˈ t ɒ l ɛ n z /) (MT), also known as modus tollendo tollens (Latin for "method of removing by taking away") [2] and denying the consequent, [3] is a deductive argument form and a rule of inference. Modus tollens is a mixed hypothetical syllogism that takes the form of "If P, then Q ...

  4. Affirming the consequent - Wikipedia

    en.wikipedia.org/wiki/Affirming_the_consequent

    In propositional logic, affirming the consequent (also known as converse error, fallacy of the converse, or confusion of necessity and sufficiency) is a formal fallacy (or an invalid form of argument) that is committed when, in the context of an indicative conditional statement, it is stated that because the consequent is true, therefore the ...

  5. Gun advocates don't make a logical argument | Opinion - AOL

    www.aol.com/gun-advocates-dont-logical-argument...

    Denying the antecedent is a logical fallacy based on drawing an untrue conclusion from an if–then argument. If X is true, then Y must also be true. More: RI Senate approves 'safe-storage' gun bill.

  6. Modus ponens - Wikipedia

    en.wikipedia.org/wiki/Modus_ponens

    The second premise is an assertion that P, the antecedent of the conditional claim, is the case. From these two premises it can be logically concluded that Q, the consequent of the conditional claim, must be the case as well. An example of an argument that fits the form modus ponens: If today is Tuesday, then John will go to work. Today is Tuesday.

  7. List of fallacies - Wikipedia

    en.wikipedia.org/wiki/List_of_fallacies

    Argument from fallacy (also known as the fallacy fallacy) – the assumption that, if a particular argument for a "conclusion" is fallacious, then the conclusion by itself is false. [ 5 ] Base rate fallacy – making a probability judgment based on conditional probabilities , without taking into account the effect of prior probabilities .

  8. Hypothetical syllogism - Wikipedia

    en.wikipedia.org/wiki/Hypothetical_syllogism

    A mixed hypothetical syllogism has two premises: one conditional statement and one statement that either affirms or denies the antecedent or consequent of that conditional statement. For example, If P, then Q. P. ∴ Q. In this example, the first premise is a conditional statement in which "P" is the antecedent and "Q" is the consequent.

  9. Fallacy of the undistributed middle - Wikipedia

    en.wikipedia.org/wiki/Fallacy_of_the...

    What is relevant to the conclusion is whether it is true that "all B is Z," which is ignored in the argument. The fallacy is similar to affirming the consequent and denying the antecedent. However, the fallacy may be resolved if the terms are exchanged in either the conclusion or in the first co-premise.