Early death
Suffering from chronic liver problems, Ramsey developed jaundice(黄疸になる:developに(病気に)なるって意味があるのか？英辞郎だと問題が生じる) after an abdominal operation(abdominalは腹部の。開腹手術らしい) and died on 19 January 1930 at Guy's Hospital in London at the age of 26.
He is buried in the Parish of the Ascension Burial Ground in Cambridge; his parents are buried in the same plot.[11]
Ramsey's notes and manuscripts were acquired by Nicholas Rescher for the Archives of Scientific Philosophy and the University of Pittsburgh. This collection contains only a few letters but a great many drafts of papers and book chapters, some still unpublished. Other papers, including his diary and letters and memoirs by his widow Lettice Ramsey and his father, are held in the Modern Archives, King's College, Cambridge.
The Decision Analysis Society[12] annually awards the Frank P. Ramsey Medal[13] to recognise substantial contributions to decision theory and its application to important classes of real decision problems.
Work
Mathematical logic
One of the theorems proved by Ramsey in his 1928 paper On a problem of formal logic now bears his name (Ramsey's theorem). While this theorem is the work Ramsey is probably best remembered for, he only proved it in passing, as a minor lemma along the way to his true goal in the paper, solving a special case of the decision problem for first-order logic, namely the decidability of what is now called the Bernays?Schonfinkel?Ramsey class of first-order logic, as well as a characterisation of the spectrum of sentences in this fragment of logic. Alonzo Church would go on to show that the general case of the decision problem for first-order logic is unsolvable (see Church's theorem). A great amount of later work in mathematics was fruitfully developed out of the ostensibly minor lemma, which turned out to be an important early result in combinatorics, supporting the idea that within some sufficiently large systems, however disordered, there must be some order. So fruitful, in fact, was Ramsey's theorem that today there is an entire branch of mathematics, known as Ramsey theory, which is dedicated to studying similar results.
Philosophy
His philosophical works included Universals (1925), Facts and propositions (1927) (which proposed a redundancy theory of truth), Universals of law and of fact (1928), Knowledge (1929), Theories (1929), On Truth (1929), and General propositions and causality (1929). Wittgenstein mentions him in the introduction to his Philosophical Investigations as an influence.
Economics
Keynes and Pigou encouraged Ramsey to work on economics as "From a very early age, about sixteen I think, his precocious mind was intensely interested in economic problems" (Keynes, 1933). Ramsey responded to Keynes's urging by writing three papers in economic theory all of which were of fundamental importance, though it was many years before they received their proper recognition by the community of economists.
Ramsey's three papers, described below in detail, were on subjective probability and utility (1926), optimal allocation (1927) and optimal one-sector economic growth (1928). The economist Paul Samuelson described them in 1970 as "three great legacies ? legacies that were for the most part mere by-products of his major interest in the foundations of mathematics and knowledge."[14]
