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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.
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.
The fallacy can take many forms, such as cherry picking, hasty generalization, proof by assertion, and so on. [1] The fallacy does not mean that every single instance of sense data or testimony must be considered a fallacy, only that anecdotal evidence, when improperly used in logic, results in a fallacy.
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
Versions of the story can also be found in Logical Dilemmas: The Life and Work of Kurt Gödel (1997) By John W. Dawson; E: His Life, His Thought and His Influence on Our Culture (2006), edited by Donald Goldsmith and Marcia Bartusiak; Incompleteness: The Proof and Paradox of Kurt Gödel (2006) by Rebecca Goldstein; Godel: A Life Of Logic, The ...
Proof by assertion is the practice of repeating an argument or proposition until challenges to it "dry up", thus creating a logical fallacy, and often a filibuster or stonewall effect. This is also called "perseveration" – persevering in repeating the same premise.