Why cannot Euclidean and non-Euclidean geometries be both part of Geometry? You still talk about geometry. Why cannot there be a field about questions of shape, size, relative positions and of space?5. There is no such thing as Set Theory (just as there is no such thing as Geometry, only different varieties of Euclidean and non-Euclidean geometries). Many of the paradoxes and abnormalities encountered in the pursuit of the one true form of Set Theory can be resolved by admitting instead a range of related but independent axioms systems, set theories in the plural. — Anonymous
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