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)
“The more the specific feelings of being under obligation range themselves under a supreme principle of human dependence the clearer and more fertile will be the realization of the concept, indispensable to all true culture, of service; from the service of God down to the simple social relationship as between employer and employee.”
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