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:
“The genuine artist is never “true to life.” He sees what is real, but not as we are normally aware of it. We do not go storming through life like actors in a play. Art is never real life.”
—Wallace Stevens (1879–1955)
“Thus piteously Love closed what he begat:
The union of this ever-diverse pair!
These two were rapid falcons in a snare,
Condemned to do the flitting of the bat.”
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“The field of the poor may yield much food, but it is swept away through injustice.”
—Bible: Hebrew, Proverbs 13:23.