Mathematical Foundations
See also: Mathematical optimization, Partially ordered set, Lattice (order), Greedoid, Antimatroid, Combinatorial optimization, and Duality (mathematics)#Order-reversing dualitiesOrdinal optimization is the maximization of function taking values in a partially ordered set ("poset") — or, dually, the minimization of functions taking values in a poset.
Read more about this topic: Ordinal Optimization
Famous quotes containing the words mathematical and/or foundations:
“What he loved so much in the plant morphological structure of the tree was that given a fixed mathematical basis, the final evolution was so incalculable.”
—D.H. (David Herbert)
“Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.... It is all the more serious since, with the loss of my rule V, not only the foundations of my arithmetic, but also the sole possible foundations of arithmetic seem to vanish.”
—Gottlob Frege (1848–1925)