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2. Fallacy of division - Wikipedia

   en.wikipedia.org/wiki/Fallacy_of_division

   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

3. Mathematical fallacy - Wikipedia

   en.wikipedia.org/wiki/Mathematical_fallacy

   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 ...

4. Informal fallacy - Wikipedia

   en.wikipedia.org/wiki/Informal_fallacy

   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 ...

5. Fallacy - Wikipedia

   en.wikipedia.org/wiki/Fallacy

   Whately divided fallacies into two groups: logical and material. According to Whately, logical fallacies are arguments where the conclusion does not follow from the premises. Material fallacies are not logical errors because the conclusion follows from the premises. He then divided the logical group into two groups: purely logical and semi-logical.

6. Ecological fallacy - Wikipedia

   en.wikipedia.org/wiki/Ecological_fallacy

   "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 ...

7. Fallacy of composition - Wikipedia

   en.wikipedia.org/wiki/Fallacy_of_composition

   The fallacy of composition is an informal fallacy that arises when one infers that something is true of the whole from the fact that it is true of some part of the whole. A trivial example might be: "This tire is made of rubber; therefore, the vehicle of which it is a part is also made of rubber."