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Circular reasoning (Latin: circulus in probando, "circle in proving"; [1] also known as circular logic) is a logical fallacy in which the reasoner begins with what they are trying to end with. [2] Circular reasoning is not a formal logical fallacy, but a pragmatic defect in an argument whereby the premises are just as much in need of proof or ...
The Cartesian circle (also known as Arnauld's circle [1]) is an example of fallacious circular reasoning attributed to French philosopher René Descartes. He argued that the existence of God is proven by reliable perception , which is itself guaranteed by God.
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 ...
Exercise paradox: The finding that individuals with an active lifestyle have a relatively similar caloric expenditure to individuals in a sedentary lifestyle. French paradox : The observation that the French suffer a relatively low incidence of coronary heart disease, despite having a diet relatively rich in saturated fats, which are assumed to ...
Closely connected with begging the question is the fallacy of circular reasoning (circulus in probando), a fallacy in which the reasoner begins with the conclusion. [26] The individual components of a circular argument can be logically valid because if the premises are true, the conclusion must be true, and does not lack relevance.
The circular argument, in which the proof of some proposition presupposes the truth of that very proposition; The regressive argument, in which each proof requires a further proof, ad infinitum; The dogmatic argument, which rests on accepted precepts which are merely asserted rather than defended
In mathematics, an argument of a function is a value provided to obtain the function's result. It is also called an independent variable. [1]For example, the binary function (,) = + has two arguments, and , in an ordered pair (,).
[1] More broadly, proof by contradiction is any form of argument that establishes a statement by arriving at a contradiction, even when the initial assumption is not the negation of the statement to be proved. In this general sense, proof by contradiction is also known as indirect proof, proof by assuming the opposite, [2] and reductio ad ...