In mathematics, and particularly in axiomatic set theory, the diamond principle ◊ is a combinatorial principle introduced by Björn Jensen (1972) that holds in the constructible universe and that implies the continuum hypothesis. Jensen extracted the diamond principle from his proof that V=L implies the existence of a Suslin tree.
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Famous quotes containing the words diamond and/or principle:
“The lover never sees personal resemblances in his mistress to her kindred or to others. His friends find in her a likeness to her mother, or her sisters, or to persons not of her blood. The lover sees no resemblance except to summer evenings and diamond mornings, to rainbows and the song of birds.”
—Ralph Waldo Emerson (1803–1882)
“Custom, then, is the great guide of human life. It is that principle alone, which renders our experience useful to us, and makes us expect, for the future, a similar train of events with those which have appeared in the past.”
—David Hume (1711–1776)