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.
Read more about Diamond Principle: Definition, Properties and Use
Famous quotes containing the words diamond and/or principle:
“Masts in the offing wagged their tops;
The swinging waves pealed on the shore;
The saffron beach, all diamond drops
And beads of surge, prolonged the roar.”
—John Davidson (1857–1909)
“Thus it seemed that this one hillside illustrated the principle of all the operations of Nature. The Maker of this earth but patented a leaf. What Champollion will decipher this hieroglyphic for us, that we may turn over a new leaf at last?”
—Henry David Thoreau (1817–1862)