List Of Incomplete Proofs
This page lists notable examples of incomplete published mathematical proofs. Most of these were accepted as correct for several years but later discovered to contain gaps. There are both examples where a complete proof was later found and where the alleged result turned out to be false.
Famous quotes containing the words list of, list, incomplete and/or proofs:
“Thirty—the promise of a decade of loneliness, a thinning list of single men to know, a thinning brief-case of enthusiasm, thinning hair.”
—F. Scott Fitzgerald (1896–1940)
“We saw the machinery where murderers are now executed. Seven have been executed. The plan is better than the old one. It is quietly done. Only a few, at the most about thirty or forty, can witness [an execution]. It excites nobody outside of the list permitted to attend. I think the time for capital punishment has passed. I would abolish it. But while it lasts this is the best mode.”
—Rutherford Birchard Hayes (1822–1893)
“Each of us is incomplete compared to someone else, an animal’s incomplete compared to a person ... and a person compared to God, who is complete only to be imaginary.”
—Georges Bataille (1897–1962)
“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)