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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
Nirvana fallacy (perfect-solution fallacy) – solutions to problems are rejected because they are not perfect. Package deal – treating essentially dissimilar concepts as though they were essentially similar. Prevalent proof fallacy – Using consensus or majority vote as evidence of truthfulness, often without regard for expert opinion.
Overconfidence effect, a tendency to have excessive confidence in one's own answers to questions. For example, for certain types of questions, answers that people rate as "99% certain" turn out to be wrong 40% of the time. [5] [43] [44] [45] Planning fallacy, the tendency for people to underestimate the time it will take them to complete a ...
A formal fallacy, deductive fallacy, logical fallacy or non sequitur (Latin for "it does not follow") is a flaw in the structure of a deductive argument that renders the argument invalid. The flaw can be expressed in the standard system of logic. [1] Such an argument is always considered to be wrong.
These paradoxes may be due to fallacious reasoning , or an unintuitive solution . The term paradox is often used to describe a counter-intuitive result. However, some of these paradoxes qualify to fit into the mainstream viewpoint of a paradox, which is a self-contradictory result gained even while properly applying accepted ways of reasoning .
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 ...
The fallacies Aristotle identifies in Chapter 4 (formal fallacies) and 5 (informal fallacies) of this book are the following: Fallacies in the language or formal fallacies (in dictionem): Equivocation; Amphiboly; Composition; Division; Accent; Figure of speech or form of expression; Fallacies not in the language or informal fallacies (extra ...
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