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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)
A formal fallacy, deductive fallacy, logical fallacy or non sequitur (Latin for "it does not follow") is a flaw in the structure of a deductive argument that renders the argument invalid. The flaw can be expressed in the standard system of logic. [ 1 ]
Proof by assertion can also occur when the evidence cited is actually no different than the assertion itself. An argument that actually contains premises that are all the same as the assertion is thus proof by assertion. This fallacy is sometimes used as a form of rhetoric by politicians, or during a debate as a filibuster.
Argumentum ad populum is a type of informal fallacy, [1] [14] specifically a fallacy of relevance, [15] [16] and is similar to an argument from authority (argumentum ad verecundiam). [ 14 ] [ 4 ] [ 9 ] It uses an appeal to the beliefs, tastes, or values of a group of people, [ 12 ] stating that because a certain opinion or attitude is held by a ...
A fallacy in argumentation that targets the person making an argument rather than the argument itself. ad ignorantium A logical fallacy where a proposition is considered true because it has not been proven false or vice versa. ad infinitum An argument or process that is supposed to continue indefinitely, without ever reaching an end or conclusion.
Reductio ad absurdum, painting by John Pettie exhibited at the Royal Academy in 1884. In logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum (Latin for "argument to absurdity") or apagogical arguments, is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction.
Proving a negative or negative proof may refer to: Proving a negative, in the philosophic burden of proof; Evidence of absence in general, such as evidence that there is no milk in a certain bowl; Modus tollens, a logical proof; Proof of impossibility, mathematics; Russell's teapot, an analogy: inability to disprove does not prove
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 ...