apartness relation

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• Apartness relation — In constructive mathematics, an apartness relation is a constructive form of inequality, and is often taken to be more basic than equality. It is often written as # to distinguish from the so called denial inequality , e, which is weaker. An… …   Wikipedia

• Pseudo-order — In constructive mathematics, a pseudo order is a constructive generalisation of a linear order to the continuous case. The usual trichotomy law does not hold in the constructive continuum because of its indecomposability, so this condition is… …   Wikipedia

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• Subcountability — In constructive mathematics, a collection is subcountable if there exists a partial surjection from the natural numbers onto it. The name derives from the intuitive sense that such a collection is no bigger than the counting numbers. The concept… …   Wikipedia

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