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Some forms of circularity in Logic and Mathematics (self-membership, self-application, impredicativity, …) are analyzed as closure properties of suitable mathematical structures since they can be considered as solutions of some systems of equations. At the same time, from a philosophical point of view, we stress the contribution of these circularities to the power of mathematics in making the world intelligible;

Cercles vicieux, mathématiques et formalisations logiques