Dichotomy
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| + | [[Eros and Thanatos]], [[good and evil]], [[night and day]], [[heaven and hell]], [[war and peace]], [[love and hate]], [[mind and body]], [[yin and yang]], [[heaven and hell]], [[sacred and profane]], [[Apollonian and Dionysian]], [[Madonna–whore complex|Madonna and whore]], and [[organic]] vs [[geometric]]. | ||
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| + | [[Image:466px-Yin yang.svg.png|thumb|right|200px|[[Yin and yang]]]] | ||
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| - | A '''dichotomy''' is any splitting of a whole into exactly two non-overlapping parts. | + | A '''dichotomy''' is a [[partition of a set|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 parts. | ||
| - | In other words, it is a [[mutually exclusive]] [[partition of a set|bipartition]] of elements. ''i.e.'' nothing can belong simultaneously to both parts, and everything must belong to one part or the other. They are often contrasting and spoken of as "opposites." The term comes from ''dichotomos'' (divided): dich- ([in] two) temnein (to cut). http://en.wikipedia.org/w/index.php?title=Dichotomy&oldid=113508851 (accessed April 17, 2007). | + | Such a partition is also frequently called a bipartition. |
| + | |||
| + | == Etymology == | ||
| + | |||
| + | The term ''dichotomy'' is from the Greek language διχοτομία ''dichotomía'' "dividing in two" from δίχα ''dícha'' "in two, asunder" and [[τομή]] ''tomḗ'' "a cutting, incision". | ||
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| + | == See also == | ||
| + | * [[Binary opposition]] | ||
| + | * [[Dichotomy paradox]] | ||
| + | * [[Dilemma]] | ||
| + | * [[Dualism]] | ||
| + | * [[Law of excluded middle]], which in logic asserts the existence of a dichotomy | ||
| + | * [[Opposite]] | ||
| + | * [[Taxonomy]] | ||
| + | * [[Trichotomy]] | ||
| + | {{GFDL}} | ||
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A dichotomy 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 parts.
Such a partition is also frequently called a bipartition.
[edit]
Etymology
The term dichotomy is from the Greek language διχοτομία dichotomía "dividing in two" from δίχα dícha "in two, asunder" and τομή tomḗ "a cutting, incision".
[edit]
See also
- Binary opposition
- Dichotomy paradox
- Dilemma
- Dualism
- Law of excluded middle, which in logic asserts the existence of a dichotomy
- Opposite
- Taxonomy
- Trichotomy
Unless indicated otherwise, the text in this article is either based on Wikipedia article "Dichotomy" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on research by Jahsonic and friends. See Art and Popular Culture's copyright notice.
