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A false dilemma is an informal fallacy based on a premise that erroneously limits what options are available. [1] [2] [3] In its most simple form, called the fallacy of bifurcation, all but two alternatives are excluded.
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.
A fallacy is the use of invalid or otherwise faulty reasoning in the construction of an argument [1] [2] that may appear to be well-reasoned if unnoticed. The term was introduced in the Western intellectual tradition by the Aristotelian De Sophisticis Elenchis .
The source of many informal fallacies is found in a false premise. For example, a false dilemma is a fallacy based on a false disjunctive claim that oversimplifies reality by excluding viable alternatives. [12] [4] [16] The context of an argument refers to the situation in which it is used.
Fallacies based on correlatives include: [1] False dilemma or false correlative. Here something which is not a correlative is treated as a correlative, excluding some other possibility. Denying the correlative where an attempt is made to introduce another option into a true correlative. Suppressed correlative
The order in which the true and false information is presented in a "half-truth" can make a difference in ultimate believability. [2] Barchetti and colleagues show that when two unrelated statements are put together with syntax that suggests causality, the statement is believed if the premise is true (even if the conclusion is unrelated or false).
The original report by Tversky & Kahneman [2] (later republished as a book chapter [3]) described four problems that elicited the conjunction fallacy, including the Linda problem. There was also a similar problem about a man named Bill (a good fit for the stereotype of an accountant — "intelligent, but unimaginative, compulsive, and generally ...