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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 ...
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 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.
These paradoxes may be due to fallacious reasoning , or an unintuitive solution . The term paradox is often used to describe a counter-intuitive result. However, some of these paradoxes qualify to fit into the mainstream viewpoint of a paradox, which is a self-contradictory result gained even while properly applying accepted ways of reasoning .
Circular reasoning (circulus in demonstrando) – the reasoner begins with what they are trying to end up with (e.g.: all bachelors are unmarried males). Fallacy of many questions (complex question, fallacy of presuppositions, loaded question, plurium interrogationum ) – someone asks a question that presupposes something that has not been ...
Objections to the argument include the idea that mathematics is only used as a representational device, even when it features in scientific explanations; that mathematics does not need to be true to be explanatory because it could be a useful fiction; and that the argument is circular and so begs the question in favour of mathematical objects.
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
A function that takes two arguments. In logic and mathematics, this is often a function that combines two values to produce a third value, such as addition or multiplication in arithmetic. binary relation A relation involving two terms or elements, defining a particular relationship between pairs of objects from two sets (or from one set to ...