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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 converse of this fallacy is called fallacy of composition, which arises when one fallaciously attributes a property of some part of a thing to the thing as a whole.

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. Division by zero - Wikipedia

   en.wikipedia.org/wiki/Division_by_zero

   Division by zero. The reciprocal function y = ⁠ 1 x⁠. As x approaches zero from the right, y tends to positive infinity. As x approaches zero from the left, y tends to negative infinity. In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case.

5. List of fallacies - Wikipedia

   en.wikipedia.org/wiki/List_of_fallacies

   List of paradoxes. Outline of public relations – Overview of and topical guide to public relations. Map–territory relation – Relationship between an object and a representation of that object (confusing map with territory, menu with meal) Mathematical fallacy – Certain type of mistaken proof.

6. Circular reasoning - Wikipedia

   en.wikipedia.org/wiki/Circular_reasoning

   e. Circular reasoning ( Latin: circulus in probando, "circle in proving"; [ 1] also known as circular logic) is a logical fallacy in which the reasoner begins with what they are trying to end with. [ 2] Circular reasoning is not a formal logical fallacy, but a pragmatic defect in an argument whereby the premises are just as much in need of ...

7. Begging the question - Wikipedia

   en.wikipedia.org/wiki/Begging_the_question

   Begging the question. In classical rhetoric and logic, begging the question or assuming the conclusion ( Latin: petītiō principiī) is an informal fallacy that occurs when an argument's premises assume the truth of the conclusion. Historically, begging the question refers to a fault in a dialectical argument in which the speaker assumes some ...