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:
“pulling off the fat diamond engagement ring,
pulling off the elopement wedding ring,
and holding them, clicking them
in thumb and forefinger,
the indent of twenty-five years,
like a tiny rip leaving its mark....”
—Anne Sexton (1928–1974)
“Whether our feet are compressed in iron shoes, our faces hidden with veils and masks; whether yoked with cows to draw the plow through its furrows, or classed with idiots, lunatics and criminals in the laws and constitutions of the State, the principle is the same; for the humiliations of the spirit are as real as the visible badges of servitude.”
—Elizabeth Cady Stanton (1815–1902)