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In mathematics, self-evident refers to statements that need no proof. Sometimes axioms are described as self-evident. [1] Other statements are self-evident because the statement is a proof for itself. [citation needed].
Ipse dixit (Latin for "he said it himself") is an assertion without proof, or a dogmatic expression of opinion. [ 1 ] [ 2 ] The fallacy of defending a proposition by baldly asserting that it is "just how it is" distorts the argument by opting out of it entirely: the claimant declares an issue to be intrinsic and immutable.
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.
Other ways to express this are that there is no reason to accept the premises unless one already believes the conclusion, or that the premises provide no independent ground or evidence for the conclusion. [3] Circular reasoning is closely related to begging the question, and in modern usage the two generally refer to the same thing. [4]
Use this cleanup template to indicate that an article is written like a personal reflection, personal essay, or argumentative essay that states a Wikipedia editor's personal feelings or presents an original argument about a topic. Template parameters [Edit template data] This template prefers inline formatting of parameters. Parameter Description Type Status Month and year date The month and ...
Indeed, the above proof that the law of excluded middle implies proof by contradiction can be repurposed to show that a decidable proposition is ¬¬-stable. A typical example of a decidable proposition is a statement that can be checked by direct computation, such as " n {\displaystyle n} is prime" or " a {\displaystyle a} divides b ...
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