vicious circle
Quick Summary
A "vicious circle" in logic refers to a type of circular argument where the premise assumes the truth of the conclusion, rather than providing independent support. This creates a flawed reasoning process because the argument essentially states that something is true because it is true.1
A more complex form, known as a "vicious cycle" or "vicious spiral," describes a chain of events where a response to one problem creates a new issue that exacerbates the original difficulty. This creates a self-perpetuating negative loop. The term originally referred to circular arguments but evolved to describe this chain of events.234
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history of logicPrincipia Mathematica and its aftermathā¦broader kind resulted from the vicious circle that arises when an object is defined by means of quantifiers whose values include the defined object itself. Russellās paradox itself incorporates such a self-referring, or āimpredicative,ā definition; the injunction to avoid them was called by Russell the āvicious circle principle.ā It wasā¦
Read Moreā¦broader kind resulted from the vicious circle that arises when an object is defined by means of quantifiers whose values include the defined object itself. Russellās paradox itself incorporates such a self-referring, or āimpredicative,ā definition; the injunction to avoid them was called by Russell the āvicious circle principle.ā It wasā¦
Read More- Russellās paradox
ā¦this situation as a āvicious circle.ā)
Read Moreā¦this situation as a āvicious circle.ā)
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- fallacyMaterial fallacies
ā¦of this fallacy, called a vicious circle, or circulus in probando (āarguing in a circleā), occurs in a course of reasoning typified by the complex argument in which a premise p1 is used to prove p2; p2 is used to prove p3; and so on, until pn ā 1 isā¦
Read Moreā¦of this fallacy, called a vicious circle, or circulus in probando (āarguing in a circleā), occurs in a course of reasoning typified by the complex argument in which a premise p1 is used to prove p2; p2 is used to prove p3; and so on, until pn ā 1 isā¦
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applied logicNonfallacial mistakes in reasoning and related errorsā¦to mean circular reasoning, or circulus in probando.
Read Moreā¦to mean circular reasoning, or circulus in probando.
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