Example of Alternative Proofs
Often, a mathematical result can be proven in more than one way. Here, using three different proofs, we show that the vectors (1,1) and (−1,2) form a basis for R2.
Read more about this topic: Basis (linear Algebra)
Famous quotes containing the words alternative and/or proofs:
“Education must, then, be not only a transmission of culture but also a provider of alternative views of the world and a strengthener of the will to explore them.”
—Jerome S. Bruner (20th century)
“To invent without scruple a new principle to every new phenomenon, instead of adapting it to the old; to overload our hypothesis with a variety of this kind, are certain proofs that none of these principles is the just one, and that we only desire, by a number of falsehoods, to cover our ignorance of the truth.”
—David Hume (1711–1776)