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:
“I really think that American gentlemen are the best after all, because kissing your hand may make you feel very very good but a diamond and a sapphire bracelet lasts forever.”
—Anita Loos (1893–1981)
“No two men see the world exactly alike, and different temperaments will apply in different ways a principle that they both acknowledge. The same man will, indeed, often see and judge the same things differently on different occasions: early convictions must give way to more mature ones. Nevertheless, may not the opinions that a man holds and expresses withstand all trials, if he only remains true to himself and others?”
—Johann Wolfgang Von Goethe (1749–1832)