A dichotomy is any splitting of a whole into exactly two non-overlapping parts, meaning it is a procedure in which a whole is divided into two halves. It is a partition of a whole (or a set) into two parts (subsets) that are:
- jointly exhaustive: everything must belong to one part or the other, and
- mutually exclusive: nothing can belong simultaneously to both.
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.
Left foot, right foot.
Photos © 2010 Dominic F. Marceau / F Squared Media
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