A dichotomy is any splitting of a whole into exactly two non-overlapping parts. In other words, it is a partition of a whole (or a set) into two parts (subsets) that are: mutually exclusive, nothing can belong simultaneously to both parts, and ,jointly exhaustive: everything must belong to one part or the other. The two parts thus formed are complements. In logic, the partitions are opposites if there exists a proposition such that it holds over one and not the other.

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