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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]
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 ...
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.
Logic is the formal science of using reason and is considered a branch of both philosophy and mathematics and to a lesser extent computer science.Logic investigates and classifies the structure of statements and arguments, both through the study of formal systems of inference and the study of arguments in natural language.
An argument from authority [a] is a form of argument in which the opinion of an authority figure (or figures) is used as evidence to support an argument. [1]The argument from authority is a logical fallacy, [2] and obtaining knowledge in this way is fallible.
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Double counting is a fallacy in reasoning. An example of double counting is shown starting with the question: What is the probability of seeing at least one 5 when throwing a pair of dice? An erroneous argument goes as follows: The first die shows a 5 with probability 1/6, and the second die shows a 5 with probability 1/6; therefore, the ...