Trichotomy Law

Every real number is negative, 0, or positive. The law is sometimes stated as "For arbitrary real numbers a and b, exactly one of the relations a<b, a=b, a>b holds" (Apostol 1967, p. 20).

See also

Schröder-Bernstein Theorem, Total Order

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Apostol, T. M. Calculus, 2nd ed., Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra. Waltham, MA: Blaisdell, 1967.

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Trichotomy Law

Cite this as:

Weisstein, Eric W. "Trichotomy Law." From MathWorld--A Wolfram Web Resource.

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