In mathematics, a real closed field is a field F that has the same first-order properties as the field of real numbers. Some examples are the field of real numbers, the field of real algebraic numbers, and the field of hyperreal numbers.
Read more about Real Closed Field: Definitions, Model Theory: Decidability and Quantifier Elimination, Order Properties, The Generalized Continuum Hypothesis, Examples of Real Closed Fields
Famous quotes containing the words real, closed and/or field:
“I am writing for myself and strangers. This is the only
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everybody is like some one else too to me. No one of
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for myself and strangers.”
—Gertrude Stein (1874–1946)
“One man’s observation is another man’s closed book or flight of fancy.”
—Willard Van Orman Quine (b. 1908)
“There is a call to life a little sterner,
And braver for the earner, learner, yearner.
Less criticism of the field and court
And more preoccupation with the sport.”
—Robert Frost (1874–1963)