In mathematics, in particular in field theory and real algebra, a formally real field is a field that admits an ordering which makes it an ordered field.
Read more about Formally Real Field: Alternative Definitions, Real Closed Fields
Famous quotes containing the words formally, real and/or field:
“We find the most terrible form of atheism, not in the militant and passionate struggle against the idea of God himself, but in the practical atheism of everyday living, in indifference and torpor. We often encounter these forms of atheism among those who are formally Christians.”
—Nicolai A. Berdyaev (1874–1948)
“If we consider what happens in conversation, in reveries, in remorse, in times of passion, in surprises, in the instructions of dreams, wherein often we see ourselves in masquerade,—the droll disguises only magnifying and enhancing a real element, and forcing it on our distinct notice,—we shall catch many hints that will broaden and lighten into knowledge of the secret of nature.”
—Ralph Waldo Emerson (1803–1882)
“the whole field is a
white desire, empty, a single stem;
a cluster, flower by flower,
a pious wish to whiteness gone over—
or nothing.”
—William Carlos Williams (1883–1963)