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- From: "Jeanne M" <gsdjm@xxxxxxxxxxx>
- To: "gsd list mail" <showgsd-l@xxxxxxxxxxxxx>
- Date: Wed, 16 Sep 2009 13:20:44 -0500
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:
a.. mutually exclusive : nothing can belong simultaneously to both parts, and
b.. 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.
Jeanne
gsdjm@xxxxxxxxxxx
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