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 principle of majority rule is the mildest form in which the force of numbers can be exercised. It is a pacific substitute for civil war in which the opposing armies are counted and the victory is awarded to the larger before any blood is shed. Except in the sacred tests of democracy and in the incantations of the orators, we hardly take the trouble to pretend that the rule of the majority is not at bottom a rule of force.”
—Walter Lippmann (1889–1974)