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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. [3]
Persuasive definition – purporting to use the "true" or "commonly accepted" meaning of a term while, in reality, using an uncommon or altered definition. (cf. the if-by-whiskey fallacy) Ecological fallacy – inferring about the nature of an entity based solely upon aggregate statistics collected for the group to which that entity belongs. [27]
A faulty generalization is an informal fallacy wherein a conclusion is drawn about all or many instances of a phenomenon on the basis of one or a few instances of that phenomenon. It is similar to a proof by example in mathematics . [ 1 ]
In logic and philosophy, a formal fallacy [a] is a pattern of reasoning rendered invalid by a flaw in its logical structure. Propositional logic, [2] for example, is concerned with the meanings of sentences and the relationships between them. It focuses on the role of logical operators, called propositional connectives, in determining whether a ...
This reasoning is a fallacy of relevance: it fails to address the proposition in question by misrepresenting the opposing position. For example: Quoting an opponent's words out of context—i.e., choosing quotations that misrepresent the opponent's intentions (see fallacy of quoting out of context ).
This category is for inductive fallacies, or faulty generalizations, arguments that improperly move from specific instances to general rules. Pages in category "Inductive fallacies" The following 21 pages are in this category, out of 21 total.
The association fallacy is a formal logical fallacy that asserts that properties of one thing must also be properties of another thing if both things belong to the same group.
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 ...