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Encyclopedia > Trichotomy

A trichotomy is a splitting into three parts, and, apart from its normal literal meaning, can refer to:

• trichotomy (mathematics), in the mathematical field of order theory
• trichotomy (philosophy), for the idea that man has a threefold nature
• In taxonomy, a trichotomy is speciation of three groups from a common ancestor, where it is unclear or unknown in what chronological order the three groups split.

Results from FactBites:

 Trichotomy - Wikipedia, the free encyclopedia (188 words) If applied to cardinal numbers, the law of trichotomy is equivalent to the axiom of choice. In taxonomy a trichotomy is speciation of three groups from a common ancestor, where it is unclear or unknown in what chronological order the three groups split. In the anthropologic field of theology, and in philosophy, trichotomy is the belief that man consists of three parts; a body, soul, and spirit.
 Trichotomy - definition of Trichotomy in Encyclopedia (180 words) In mathematics, the most concrete law of trichotomy that is usually seen is the statement that for any real numbers x and y, exactly one of the following relations holds: More generally, a law of trichotomy is any statement that for some binary relation on some set S, which we may denote by using the "less than" symbol "<", and for any two members x, y ∈ S, exactly one of the relations above holds. In the special case of cardinal numbers, trichotomy is equivalent to the Axiom of Choice.
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