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Mathematical fallacy – Certain type of mistaken proof; Sophistical Refutations – Text by Aristotle on logical fallacies, in which Aristotle presented thirteen fallacies; Straight and Crooked Thinking – Book by Robert H. Thouless (book)
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 ...
List of fallacies with clear examples, infidels.org; Interactive Syllogistic Machine A web based syllogistic machine for exploring fallacies, figures, and modes of syllogisms. Logical Fallacies and the Art of Debate, csun.edu; Stephen Downes Guide to the Logical Fallacies, onegoodmove.org; Explain fallacies, what they are and how to avoid them ...
Proof by assertion, sometimes informally referred to as proof by repeated assertion, is an informal fallacy in which a proposition is repeatedly restated regardless of contradiction and refutation. [1]
G. I. Joe fallacy, the tendency to think that knowing about cognitive bias is enough to overcome it. [66] Gambler's fallacy, the tendency to think that future probabilities are altered by past events, when in reality they are unchanged. The fallacy arises from an erroneous conceptualization of the law of large numbers. For example, "I've ...
In logic and mathematics, proof by example (sometimes known as inappropriate generalization) is a logical fallacy whereby the validity of a statement is illustrated through one or more examples or cases—rather than a full-fledged proof. [1] [2] The structure, argument form and formal form of a proof by example generally proceeds as follows ...
A formal fallacy is contrasted with an informal fallacy which may have a valid logical form and yet be unsound because one or more premises are false. A formal fallacy, however, may have a true premise, but a false conclusion. The term 'logical fallacy' is sometimes used in everyday conversation, and refers to a formal fallacy.
There is a list of paradoxes on the paradox page. There is a list of fallacies on the logical fallacy page. Modern mathematical logic is at the list of mathematical logic topics page. For introductory set theory and other supporting material see the list of basic discrete mathematics topics