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A false dilemma, also referred to as false dichotomy or false binary, is an informal fallacy based on a premise that erroneously limits what options are available. The source of the fallacy lies not in an invalid form of inference but in a false premise.
In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment or ...
Young America's dilemma: Shall I be wise and great, or rich and powerful? (poster from 1901) This is an example of a false dilemma: an informal fallacy using a disjunctive premise that excludes viable alternatives. Fallacies are usually divided into formal and informal fallacies. [38]
Creating a false dilemma (either-or fallacy) in which the situation is oversimplified, also called false dichotomy; Selectively using facts (card stacking) Making false or misleading comparisons (false equivalence or false analogy) Generalizing quickly and sloppily (hasty generalization) (secundum quid)
Logical fallacy: A misconception resulting from incorrect reasoning in argumentation. Paradox gun : A gun that has characteristics of both (smoothbore) shotguns and rifles. Paradoxical laughter : Inappropriate laughter, often recognized as such by the laughing person.
Equivalently, if P is true or Q is true and P is false, then Q is true. The name "disjunctive syllogism" derives from its being a syllogism, a three-step argument, and the use of a logical disjunction (any "or" statement.) For example, "P or Q" is a disjunction, where P and Q are called the statement's disjuncts.
His best friend was an alleged murderer who had been deemed mentally incompetent to stand trial. As he had to do with others, Peterson was made to hold his friend down for shock treatments. But the friend understood Peterson’s dilemma, and he would serve as Peterson’s bodyguard against the nightly threat of attacks.
A fallacy is an incorrect argument or a faulty form of reasoning. This means that the premises provide no or not sufficient support for the conclusion. Fallacies often appear to be correct on the first impression and thereby seduce people into accepting and using them. In logic, the term "fallacy" does not mean that the conclusion is false.