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The fallacy of division [1] is an informal fallacy that occurs when one reasons that something that is true for a whole must also be true of all or some of its parts. An example: The second grade in Jefferson Elementary eats a lot of ice cream; Carlos is a second-grader in Jefferson Elementary; Therefore, Carlos eats a lot of ice cream
Fallacy of division – assuming that something true of a composite thing must also be true of all or some of its parts. [30] False attribution – appealing to an irrelevant, unqualified, unidentified, biased or fabricated source in support of an argument.
Traditionally, a great number of informal fallacies have been identified, including the fallacy of equivocation, the fallacy of amphiboly, the fallacies of composition and division, the false dilemma, the fallacy of begging the question, the ad hominem fallacy and the appeal to ignorance. There is no general agreement as to how the various ...
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 ...
division See fallacy of division. domain The set of all possible inputs for a function, or more generally, the subject matter or universe of discourse in a logical argument. domain of discourse The collection of objects being discussed in a particular logical context, which determines the range of quantifiers. dominant connective
"Ecological fallacy" is a term that is sometimes used to describe the fallacy of division, which is not a statistical fallacy. The four common statistical ecological fallacies are: confusion between ecological correlations and individual correlations, confusion between group average and total average, Simpson's paradox , and confusion between ...
Division (logical fallacy), when one reasons logically that something true of a thing must also be true of all or some of its parts; Tom Clancy's The Division, a multiplayer video game by Ubisoft and Red Storm Entertainment; The Division (TV series), a police procedural
The fallacy here arises from the assumption that it is legitimate to cancel 0 like any other number, whereas, in fact, doing so is a form of division by 0. Using algebra, it is possible to disguise a division by zero [17] to obtain an invalid proof. For example: [18]