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A fallacy is the use of invalid or otherwise faulty reasoning in the construction of an argument [1] [2] that may appear to be well-reasoned if unnoticed. The term was introduced in the Western intellectual tradition by the Aristotelian De Sophisticis Elenchis. [3]
Double counting – counting events or occurrences more than once in probabilistic reasoning, which leads to the sum of the probabilities of all cases exceeding unity. Equivocation – using a term with more than one meaning in a statement without specifying which meaning is intended. [21]
A majority chose answer (b). Independent of the information given about Linda, though, the more restrictive answer (b) is under any circumstance statistically less likely than answer (a). This is an example of the " conjunction fallacy ".
Equivocation in a syllogism (a chain of reasoning) produces a fallacy of four terms (quaternio terminorum). Below is an example: Since only man [human] is rational. And no woman is a man [male]. Therefore, no woman is rational. [1] The first instance of "man" implies the entire human species, while the second implies just those who are male.
Deductive reasoning offers the strongest support: the premises ensure the conclusion, meaning that it is impossible for the conclusion to be false if all the premises are true. Such an argument is called a valid argument, for example: all men are mortal; Socrates is a man; therefore, Socrates is mortal.
Attacking Faulty Reasoning: A Practical Guide to Fallacy-free Arguments [1] is a textbook on logical fallacies by T. Edward Damer that has been used for many years in a number of college courses on logic, critical thinking, argumentation, and philosophy. It explains 60 of the most commonly committed fallacies.
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Defeasible reasoning – Reasoning that is rationally compelling, though not deductively valid – from authority: if p then (defeasibly) q; Diagrammatic reasoning – reasoning by the mean of visual representations – reasoning by means of visual representations. Visualizing concepts and ideas with of diagrams and imagery instead of by ...