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  2. List of valid argument forms - Wikipedia

    en.wikipedia.org/wiki/List_of_valid_argument_forms

    It does not leave the user with one statement alone at the end of the argument, instead, it gives an option of two different statements. The first premise gives an option of two different statements. Then it states that if the first one happens, there will be a particular outcome and if the second happens, there will be a separate outcome.

  3. Affirmative conclusion from a negative premise - Wikipedia

    en.wikipedia.org/wiki/Affirmative_conclusion...

    Affirmative conclusion from a negative premise (illicit negative) is a formal fallacy that is committed when a categorical syllogism has a positive conclusion and one or two negative premises. For example: No fish are dogs, and no dogs can fly, therefore all fish can fly.

  4. Disjunctive syllogism - Wikipedia

    en.wikipedia.org/wiki/Disjunctive_syllogism

    In classical logic, disjunctive syllogism [1] [2] (historically known as modus tollendo ponens (MTP), [3] Latin for "mode that affirms by denying") [4] is a valid argument form which is a syllogism having a disjunctive statement for one of its premises. [5] [6] An example in English: I will choose soup or I will choose salad. I will not choose ...

  5. Negative conclusion from affirmative premises - Wikipedia

    en.wikipedia.org/wiki/Negative_conclusion_from...

    The rule states that a syllogism in which both premises are of form a or i (affirmative) cannot reach a conclusion of form e or o (negative). Exactly one of the premises must be negative to construct a valid syllogism with a negative conclusion. (A syllogism with two negative premises commits the related fallacy of exclusive premises.)

  6. Fallacy of four terms - Wikipedia

    en.wikipedia.org/wiki/Fallacy_of_four_terms

    Two premises are not enough to connect four different terms, since in order to establish connection, there must be one term common to both premises. In everyday reasoning, the fallacy of four terms occurs most frequently by equivocation : using the same word or phrase but with a different meaning each time, creating a fourth term even though ...

  7. Hypothetical syllogism - Wikipedia

    en.wikipedia.org/wiki/Hypothetical_syllogism

    An invalid hypothetical syllogism either affirms the consequent (fallacy of the converse) or denies the antecedent (fallacy of the inverse). A pure hypothetical syllogism is a syllogism in which both premises and the conclusion are all conditional statements. The antecedent of one premise must match the consequent of the other for the ...

  8. Fallacy of the undistributed middle - Wikipedia

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

    B is the common term between the two premises (the middle term) but is never distributed, so this syllogism is invalid. B would be distributed by introducing a premise which states either All B is Z, or No B is Z. Also, a related rule of logic is that anything distributed in the conclusion must be distributed in at least one premise. All Z is B

  9. Fallacy of exclusive premises - Wikipedia

    en.wikipedia.org/wiki/Fallacy_of_exclusive_premises

    The fallacy of exclusive premises is a syllogistic fallacy committed in a categorical syllogism that is invalid because both of its premises are negative. [1] Example of an EOO-4 type invalid syllogism. E Proposition: No cats are dogs. O Proposition: Some dogs are not pets. O Proposition: Therefore, some pets are not cats. Explanation of Example 1: