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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 ...
False dilemma (false dichotomy, fallacy of bifurcation, black-or-white fallacy) – two alternative statements are given as the only possible options when, in reality, there are more. [32] False equivalence – describing two or more statements as virtually equal when they are not.
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)
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.
A false dilemma is a fallacy of presumption based on a false disjunctive claim that oversimplifies reality by excluding viable alternatives. [16] [12] For example, a false dilemma is committed when it is claimed that "Stacey spoke out against capitalism, therefore she must be a communist". One of the options excluded is that Stacey may be ...
A fallacy in argumentation that targets the person making an argument rather than the argument itself. ad ignorantium A logical fallacy where a proposition is considered true because it has not been proven false or vice versa. ad infinitum An argument or process that is supposed to continue indefinitely, without ever reaching an end or conclusion.
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.