is a fallacious argument implying , therefore Y is false.
Refutation: The fact that an argument is fallacious has nothing to do with the truth of its conclusion.
Masked Man Fallacy:
The speaker believes that is
The speaker believes that is not
Therefore, is .
Refutation: Substitution does not apply when we are talking about belief. The belief itself could be wrong, and it does not rule out the possibility of the negation being true.
Affirming the Disjunct
or is true
is true
Therefore, is not true
Refutation: The definition of the disjunct simply states at least one of its statements is true. This is insufficient to prove that is false.
Affirming The Consequent
implies is true
Therefore
Refutation: Just because is a possible condition for doesn’t mean it is the only such condition.
Denying the Antecedent
implies is not true
is not true.
Refutation: The implication holds only when is true. Otherwise, if is false, may or may not be true.
Illicit Affirmative
is not is not
Therefore is .
Refutation: The argument fails to rule out the possibility that is mutually exclusive from .
Illicit Negative
is B
is
Therefore is not
Refutation: The conclusion does not follow with the premises. After all, it is established that and .