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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 ...
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]
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 ...
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 ]
[2] While certain kinds of arguments, such as logical syllogisms, require mathematical or strictly logical proofs, the standard for evidence to meet the burden of proof is usually determined by context and community standards and conventions. [3] [4] Philosophical debate can devolve into arguing about who has the burden of proof about a ...
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.
John Locke (1632–1704), the likely originator of the term.. Argument from ignorance (Latin: argumentum ad ignorantiam), or appeal to ignorance, [a] is an informal fallacy where something is claimed to be true or false because of a lack of evidence to the contrary.