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One type of dichotomy is dichotomous classification – classifying objects by recursively splitting them into two groups. As Lewis
Carroll explains, "After dividing a Class, by the Process of Dichotomy, into two smaller Classes, we may sub-divide each of these into two still smaller Classes; and this
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consisting of a supposed dichotomy which fails one or both of the conditions: it is not jointly exhaustive and/or not mutually exclusive. In its most common form, two entities are presented as if they are exhaustive, when in fact other alternatives are possible. In some cases, they may be presented
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Process may be repeated over and over again, the number of
Classes being doubled at each repetition. For example, we may divide "books" into "old" and "new" (i.e. "not-old"): we may then sub-divide each of these into "English" and "foreign" (i.e. "not-English"), thus getting four Classes."
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dichotomy is when the Moon or an inferior planet is exactly half-lit as viewed from Earth. For the Moon, this occurs slightly before one quarter Moon orbit and slightly after the third quarter of the Moon's orbit at 89.85° and 270.15°, respectively. (This is not to be confused with
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If there is a concept A, and it is split into parts B and not-B, then the parts form a dichotomy: they are mutually exclusive, since no part of B is contained in not-B and vice versa, and they are jointly exhaustive, since they cover all of A, and together again give A.
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has a dichotomy in its memory model (heap versus stack), whereas Java has a dichotomy in its type system (references versus primitive data types).
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level of measurement (such as "tall" vs "short", when measuring height). A variable measured dichotomously is called a
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This article is about dichotomy in logic and related topics. For usage of "dichotomous" in botany, see
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U (the entire rectangle) is dichotomized into the two sets A (in pink) and its complement A (in grey).
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which is when the Sun-Earth-Moon/superior planet angle is 90°.)
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such that it holds over one and not the other. Treating
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inherent in dichotomization is temporarily ignored for
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