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Frank Ramsey (mathematician)

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36: 1325: 146: 716:, first met Ramsey, he expressed his interest in learning German. According to Richards, he mastered the language "in almost hardly over a week", although other sources show he had taken one year of German in school. Ramsey was then able, at the age of 19, to make the first draft of the translation of the German text of 1220:
ever made, both in respect of the intrinsic importance and difficulty of its subject, the power and elegance of the technical methods employed, and the clear purity of illumination with which the writer's mind is felt by the reader to play about its subject. The article is terribly difficult reading
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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
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of demand for that good. Ramsey poses the question that is to be solved at the beginning of the article: "A given revenue is to be raised by proportionate taxes on some or all uses of income, the taxes on different uses being possibly at different rates; how much should these rates be adjusted in
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Ramsey suggested a way of deriving a consistent theory of choice under uncertainty that could isolate beliefs from preferences while still maintaining subjective probabilities, although Ramsey later noted that "taking the whole field of chance events no generalizations about them are possible
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The main contributions of the model were firstly the initial question Ramsey posed on how much savings should be and secondly the method of analysis, the intertemporal maximisation (optimisation) of collective or individual utility by applying techniques of dynamic optimisation.
1088:. For Ramsey, probability is not related to a disembodied body of knowledge but is related to the knowledge that each individual possesses alone. Thus personal beliefs that are formulated by this individual knowledge govern probabilities, leading to the notions of 544:(top of his class). Easy-going, simple and modest, Ramsey had many interests besides his mathematical and scientific studies. Even as a teenager, Ramsey exhibited both a profound ability and, as attested by his brother, an extremely diverse range of interests: 588:
and became filled with desire and we came back and lay on two beds side by side she reading, I pretending to, but with an awful conflict in my mind. After about an hour I said (she was wearing her horn spectacles and looking superlatively beautiful in the
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though he was on the verge of plunging into being a mathematical specialist; he was very interested in politics, and well-informed; he had got a political concern and a sort of left-wing caring-for-the-underdog kind of outlook about
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in Cambridge; the Pykes took Ramsey into their family, taking him on holiday and asking him to be the godfather of their young son. Margaret found herself to be the object of his affection, Ramsey recording in his diary:
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theory of knowledge. He also produced what philosopher Alan Hájek has described as an "enormously influential version of the subjective interpretation of probability." His thought in this area was outlined in the paper
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cooperated to try to bring Wittgenstein back to Cambridge (he had been a student there before World War I). Once Wittgenstein had returned to Cambridge, Ramsey became his nominal supervisor. Wittgenstein submitted the
905:, 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 1809:, who said that a belief is knowledge if it is true, certain and obtained by a reliable process. This attracted no attention at the time and apparently did not influence reliability theories of the 1960s, 70s, or 80s. 1072:
probabilities. For Keynes, the subjectivity of probabilities does not matter as much, as for him there is an objective relationship between knowledge and probabilities, as knowledge is disembodied and not personal.
901:). A great amount of later work in mathematics was fruitfully developed out of the ostensibly minor lemma used by Ramsey in his decidability proof: this lemma turned out to be an important early result in 597:
Margaret wanted time to consider his proposition and thus began an uncomfortable dance between them, which contributed to Ramsey's depressive moods in early 1924; as a result, he travelled to Vienna for
618:. As one of the justifications for undertaking the therapy, he asserted in a letter to his mother that unconscious impulses might affect even a mathematician's work. While in Vienna, he made a trip to 2282: 1487:"He was certainly sorry that I went on being religious; he was sorry that I decided to become a priest in the Church of England; sorry indeed, but quite tolerant." Quoted in Mellor, "Ramsey", p. 255 840:. 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 1195:
entry devoted to it, as "one of the dozen or so most influential papers of the 20th century" in the field of academic economics, "A Mathematical Theory of Saving" was originally published in
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for an economist, but it is not difficult to appreciate how scientific and aesthetic qualities are combined in it together." The Ramsey model is today acknowledged as the starting point for
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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."
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Wittgenstein credits Ramsey's criticism of the Tractatus in the "interminable conversations" they had as having helped him realise "grave mistakes" within the work.
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gave the name "the Ramsey Effect" to anyone's realisation that their splendid new philosophical discovery already existed within Frank Ramsey's body of work.
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Ramsey disagreed with this approach. In his article "Truth and Probability" (1926), he argued that there is a difference between the notions of
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and an active member in the Apostles. In 1923, he received his bachelor's degree in mathematics, passing his examinations with the result of
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in 1944 (1947 2nd ed.), although after Ramsey's death, an approach to probability similar to his was developed independently by the Italian
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whilst at the same time ensuring that its costs are adequately covered. This is achieved by setting the price such that the markup over
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Despite the fact that Ramsey's work on probabilities was of great importance, no one paid any attention to it until the publication of
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acted as examiners. Later, the three of them arranged financial aid for Wittgenstein to help him continue his research work.
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In 1926 he became a university lecturer in mathematics and later a Director of Studies in Mathematics at King's College. The
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was made the Frank Ramsey Professor of Economics in 1994 and Frank Ramsey Professor Emeritus of Economics in 2010 at the
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in August 1925, the wedding taking place in a Register Office since Ramsey was, as his wife described him, a 'militant
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Sahlin, N.-E. (1996), "He is no good for my work": On the philosophical relations between Ramsey and Wittgenstein, in
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On truth : original manuscript materials (1927-1929) from the Ramsey Collection at the University of Pittsburgh
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at a steady rate and of Harrod-neutral technical progress again at a steady rate, giving birth to a model named the
516:. His mother was Mary Agnes Stanley (1875–1927). He was the eldest of two brothers and two sisters, and his brother 1369: 1022:
importance, though it was many years before they received their proper recognition by the community of economists.
869:). While this theorem is the work Ramsey is probably best remembered for, he proved it only in passing, as a minor 1262:
The Decision Analysis Society annually awards the Frank P. Ramsey Medal to recognise substantial contributions to
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Bradley, Richard (2001). "Ramsey and the measurement of belief". In Corfield, David; Williamson, Jon (eds.).
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who made major contributions to all three fields before his death at the age of 26. He was a close friend of
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order that the decrement of utility may be a minimum?" The problem was suggested to him by the economist
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in London at the age of 26. There is a suspicion that the cause of his death might be an undiagnosed
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Perhaps the first formulation of a reliability account of knowing appeared in a brief discussion by
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manifesto (1929) lists three of his publications in a bibliography of closely related authors.
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was made the first Frank P. Ramsey Professor (of Managerial Economics) at Harvard University.
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In 1929 Ramsey and Wittgenstein regularly discussed issues in mathematics and philosophy with
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would go on to show that the general case of the decision problem for first-order logic is
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to visit Wittgenstein, at that time teaching in a primary school in the small community of
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although its importance was not recognised until many years after its first publication.
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Knowledge and Inquiry: Essays on Jaakko Hintikkas Epistemology and Philosophy of Science
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as "a landmark in the economics of public finance" In the same, Ramsey contributed to
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in order to visit Wittgenstein, was befriended by the Wittgenstein family and visited
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with which Ramsey, an avid swimmer, could have become infected while swimming in the
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a 1978 BBC radio portrait of Ramsey and a 1995 article derived from it, both by
2950: 1672:. Nicholas Rescher, Ulrich Majer (Eds.). Dordrecht: Kluwer Academic Publishers. 610:), Ramsey was intellectually interested in psychoanalysis. Ramsey's analyst was 3040: 2990: 2793: 1548: 1202: 1151: 1042: 841: 777:
economist who had been brought to Cambridge by Keynes after Sraffa had aroused
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by Frank Plumpton Ramsey, edited by R. B. Braithwaite, preface by G. E. Moore"
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into English. He was also influential in persuading Wittgenstein to return to
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Samuelson, Paul A. (1970). "What Makes for a Beautiful Problem in Science?".
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Keynes described the article as "one of the most remarkable contributions to
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and his father, are held in the Modern Archives, King's College, Cambridge.
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along the way to his true goal in the paper, solving a special case of the
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He was interested in almost everything. He was immensely widely read in
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Samuelson, P (1970). "What Makes for a Beautiful Problem in Science?".
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Cambridge Pragmatism: From Peirce and James to Ramsey and Wittgenstein
1213:, or as Ramsey put it, "how much of its income should a nation save?" 781:'s ire by publishing an article critical of the Fascist regime in the 726:. Ramsey was impressed by Wittgenstein's work and after graduating as 2162:(Summer 2019 ed.), Metaphysics Research Lab, Stanford University 1795:(Winter 2016 ed.), Metaphysics Research Lab, Stanford University 1069: 1049: 819: 585: 505: 475: 203: 177: 2825: 2814:
Foundations – Essays in Philosophy, Logic, Mathematics and Economics
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and its application to important classes of real decision problems.
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Duarte, Pedro G (2009a). "Frank P. Ramsey: A Cambridge Economist".
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Cheryl Misak, "Frank Ramsey: A Genius By All Tests for Genius",
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See Gabriele Taylor (in Galavotti 2006, 1–18) and Duarte (2009a)
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modified the Ramsey model incorporating the dynamic features of
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in 1915 and later returned to Cambridge to study mathematics at
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was made the Frank P. Ramsey Professor of Political Economy at
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F.P. Ramsey (1928) "Further Considerations", in Ramsey, 1931,
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Quine, W.V. (1937), "New Foundations for Mathematical Logic".
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Quoted from Ramsey's Diary, 13 January 1924 by Forrester, 2004
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F.P. Ramsey (1926) "Truth and Probability", in Ramsey, 1931,
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described it, "a strategically beautiful application of the
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after an abdominal operation and died on 19 January 1930 at
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British philosopher, mathematician and economist (1903–1930)
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Shooting Star: The Brief and Brilliant Life of Frank Ramsey
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Cambridge and Vienna: Frank P. Ramsey and the Vienna Circle
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opened a photography studio in Cambridge with photographer
455: 2016:"La prévision: ses lois logiques, ses sources subjectives" 1430:. Special Collections Department, University of Pittsburgh 1142:
This paper, first published in 1927 has been described by
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Ramsey's three papers, described below in detail, were on
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and Cambridge. Like Wittgenstein, he was a member of the
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The Foundations of Mathematics and other Logical Essays
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The Foundations of Mathematics and other Logical Essays
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Ramsey, F.P. (1926). "The Foundations of Mathematics".
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in Cambridge; his parents are buried in the same plot.
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BBC Radio 3 programme discussing the legacy of Ramsey.
1926:"Frank Plumpton Ramsey and the Politics of Motherhood" 1293:
Schools. Zeckhauser's chair is in the Kennedy School.
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A Guide to Churchill College, Cambridge: text by Dr.
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and, as an undergraduate, translated Wittgenstein's
443: 1245:where the objective now is to maximise household's 634:. Ramsey returned to England in October 1924; with 449: 440: 60:. Unsourced material may be challenged and removed. 2832:Rescher, Nicholas and Ulrich Majer (eds.) (1991). 2252:.reprinted in: Keynes J.M. (2010) "F. P. Ramsey", 1742:(Fall 2018 Edition), E. N. Zalta (ed.), URL = < 1178: 1175:and the paper was Ramsey's answer to the problem. 1002:(1929). Ramsey was perhaps the first to propose a 909:, which is dedicated to studying similar results. 912:In 1926, Ramsey proposed a simplification of the 836:for the Archives of Scientific Philosophy at the 3067: 2803:The Foundations of Mathematics, and other Essays 2728:: CS1 maint: bot: original URL status unknown ( 2505:: CS1 maint: bot: original URL status unknown ( 2405:The Foundations of Mathematics, and other Essays 2154:"Ramsey and Intergenerational Welfare Economics" 832:Ramsey's notes and manuscripts were acquired by 3041:Better than the Stars/Frank Ramsey: a biography 2710:. Archived from the original on 22 January 2016 2487:. Archived from the original on 4 February 2023 1744:https://plato.stanford.edu/entries/type-theory/ 1561: 1527: 1496: 897:and that first-order logic is undecidable (see 1727:Proceedings of the London Mathematical Society 1285:in 1971. Raiffa's chair was joint between the 1269: 496:, the secret intellectual society, from 1921. 2466:"Frank Ramsey's Notes on Saving and Taxation" 1781: 1702:"Frank Plumpton Ramsey Papers | Digital Pitt" 2639:Newman, P (1987). "Ramsey, Frank Plumpton". 2575:, Princeton University Press, Princeton, NJ. 1616: 463:; 22 February 1903 – 19 January 1930) was a 2963:Frank Ramsey (1903–1930): A Sister's Memoir 2641:The New Palgrave: A Dictionary of Economics 2628:The New Palgrave: A Dictionary of Economics 2573:The Search for Mathematical Roots 1870–1940 2234:Keynes, J. M. (March 1930). "F. P. Ramsey". 584:One afternoon I went out alone with her on 2739:"A Contribution to the Theory of Taxation" 2099:"A Contribution to the Theory of Taxation" 2013: 1930:Journal of the History of Economic Thought 1009: 699: 144: 2866: 2669: 2513: 2425: 2397: 2062: 1941: 1878: 930:. The resulting theory is known today as 593:style) 'Margaret will you fuck with me?' 120:Learn how and when to remove this message 3111:Cambridge University Moral Sciences Club 2595:"Cambridge Philosophers I: F. P. Ramsey" 2148: 2036: 1257: 1137:A Contribution to the Theory of Taxation 1055: 2996: 2843:, Cambridge University Press, Cambridge 2565:, Dordrecht, The Netherlands: Springer. 2463: 2434: 2159:The Stanford Encyclopedia of Philosophy 1956: 1923: 1828:The Stanford Encyclopedia of Philosophy 1792:The Stanford Encyclopedia of Philosophy 504:Ramsey was born on 22 February 1903 in 14: 3068: 2931:Frank Ramsey: A Sheer Excess of Powers 2772: 2736: 2678: 2651: 2638: 2592: 2535:10.1111/j.0011-1562.2004.t01-1-00560.x 2331:Frank Ramsey: A Sheer Excess of Powers 2182: 2096: 1658: 1416:, Oxford University Press, 2016, p. 3. 1039:optimal growth in a one-sector economy 966:His main philosophical works included 875:decision problem for first-order logic 3136:People educated at Winchester College 2925: 2369: 2325: 2178: 2176: 2092: 2090: 1874: 1872: 1847: 1845: 1820: 1757:Monatshefte für Mathematik und Physik 1114:Theory of Games and Economic Behavior 852: 827:Parish of the Ascension Burial Ground 3146:Fellows of King's College, Cambridge 3141:Alumni of Trinity College, Cambridge 2960: 2902: 2020:Annales de l'Institut Henri Poincaré 1623:. Basil Blackwell Ltd. p. viii. 575:, then on the point of founding the 58:adding citations to reliable sources 29: 3091:20th-century British mathematicians 3029:Stanford Encyclopedia of Philosophy 2625: 1983: 1740:Stanford Encyclopedia of Philosophy 1738:Coquand, T. (2018). "Type Theory". 1598:Quoted in Mellor, "Ramsey", p. 245, 1573:. Suppl. 7: 153–170. Archived from 1192:Stanford Encyclopedia of Philosophy 861:proved by Ramsey in his 1928 paper 24: 2896: 2658:Aristotelian Society Supplementary 2291: 2173: 2087: 1869: 1842: 1425: 1000:General propositions and causality 638:'s support, he became a fellow of 567:In 1923, Ramsey was befriended by 392:Ramsey–Dvoretzky–Milman phenomenon 25: 3197: 3096:20th-century British philosophers 3017: 2681:"A Mathematical Theory of Saving" 2185:"A Mathematical Theory of Saving" 1995:, Ch. VIII, p.210,211, edited by 1166:is inversely proportional to the 1100:the individual would accept when 69:"Frank Ramsey" mathematician 3004:. Amazon Digital Services, Inc. 2671:10.1093/aristoteliansupp/7.1.153 1857:, Ch. VII, p.156-198, edited by 1823:"Interpretations of Probability" 1370:Theorem on friends and strangers 1323: 1304: 883:Bernays–Schönfinkel–Ramsey class 630:), where a fellow analysand was 562:Michael Ramsey, Quoted in Mellor 540:with distinction, and was named 436: 417:Bernays–Schönfinkel–Ramsey class 34: 3166:20th-century British economists 3116:British philosophers of science 2427:10.1090/s0002-9904-1932-05470-2 2319: 2273: 2262: 2228: 2142: 2030: 2007: 1950: 1917: 1814: 1775: 1762: 1749: 1732: 1719: 1694: 1659:Ramsey, Frank Plumpton (1991). 1652: 1639: 1627: 1610: 1601: 1180:A Mathematical Theory of Saving 532:. There he became a student of 250: 45:needs additional citations for 2908:"The Man Who Thought Too Fast" 2841:The Philosophy of F. P. Ramsey 2775:"On a Problem in Formal Logic" 2256:. Palgrave Macmillan, London, 1592: 1555: 1521: 1490: 1481: 1451: 1442: 1419: 1403: 797: 756:Tractatus Logico-Philosophicus 723:Tractatus Logico-Philosophicus 485:Tractatus Logico-Philosophicus 13: 1: 2363: 2156:, in Zalta, Edward N. (ed.), 1825:, in Zalta, Edward N. (ed.), 1789:, in Zalta, Edward N. (ed.), 1770:American Mathematical Monthly 1635:https://hnn.us/article/174250 1617:Wittgenstein, Ludwig (1963). 1463:Helen Muspratt - Photographer 1048:Ramsey's economic views were 980:Universals of law and of fact 961: 942:in the original proof of his 734:of 1923 he made a journey to 151: 3181:Wittgensteinian philosophers 3051:Maths and philosophy puzzles 3036:Frank Plumpton Ramsey Papers 2869:Journal of Political Economy 2626:Newbery, D. "Ramsey model". 2473:History of Political Economy 2437:History of Political Economy 2379:Journal of Political Economy 1967:10.1007/978-94-017-1586-7_11 1882:Journal of Political Economy 1620:Philosophical Investigations 1530:"Foundations of Mathematics" 1016: 944:first incompleteness theorem 863:On a Problem of Formal Logic 792:Philosophical Investigations 7: 1345:Expected utility hypothesis 1316: 1270:Frank Ramsey Professorships 1223:optimal accumulation theory 806:problems, Ramsey developed 10: 3202: 3161:Analysands of Theodor Reik 2464:Duarte, Pedro G. (2009b). 1959:Foundations of Bayesianism 1787:"Reliabilist Epistemology" 1515:10.1093/mind/xxxiv.136.401 1428:"Frank P. Ramsey's Papers" 1243:Ramsey–Cass–Koopmans model 1201:in 1928. It employed, as 976:redundancy theory of truth 881:of what is now called the 407:Ramsey–Cass–Koopmans model 367:Redundancy theory of truth 224:Trinity College, Cambridge 3057:A photo of Ramsey's grave 2611:10.1017/s0031819100065396 2485:10.1215/00182702-2009-048 2449:10.1215/00182702-2009-035 2269:Decision Analysis Society 2014:de Finetti, Buno (1937). 1943:10.1017/S105383722100033X 1309:In 1999, the philosopher 1252: 1065:A Treatise on Probability 974:(1927) (which proposed a 640:King's College, Cambridge 425: 352: 329:Philosophy of mathematics 314: 309:King's College, Cambridge 304: 292: 282: 272: 268: 260: 235: 218: 192: 159: 143: 136: 2794:10.1112/plms/s2-30.1.264 2654:"Facts and Propositions" 2514:Forrester, John (2004). 1706:digital.library.pitt.edu 1649:, pages 62 and 63 (2009) 1564:"Facts and Propositions" 1562:Frank P. Ramsey (1927). 1549:10.1112/plms/s2-25.1.338 1528:Frank P. Ramsey (1926). 1497:Frank P. Ramsey (1925). 1396: 1360:Structural Ramsey theory 838:University of Pittsburgh 758:as his doctoral thesis. 522:Archbishop of Canterbury 2961:Paul, Margaret (2012). 2935:Oxford University Press 2834:F. P. Ramsey: On Truth 2335:Oxford University Press 2002:1999 electronic edition 1864:1999 electronic edition 1661:"EDITORS' INTRODUCTION" 1299:University of Cambridge 1150:the elegant concept of 948:Willard van Orman Quine 847: 790:In the introduction to 700:Ramsey and Wittgenstein 606:(also in analysis with 499: 277:20th-century philosophy 2853:Sahlin, N.-E. (2005), 2839:Sahlin, N.-E. (1990), 2782:Proc. London Math. Soc 2569:Grattan-Guinness, Ivor 2183:Ramsey, F. P. (1928). 2097:Ramsey, F. P. (1927). 1785:; Beddor, Bob (2016), 1537:Proc. London Math. Soc 1380:History of type theory 1218:mathematical economics 1207:calculus of variations 1090:subjective probability 1041:(1928). The economist 1027:subjective probability 972:Facts and propositions 922:Alfred North Whitehead 740:Puchberg am Schneeberg 595: 565: 362:Theory of simple types 3121:Probability theorists 3106:Analytic philosophers 3086:People from Cambridge 2859:, a special issue of 2800:Ramsey, F.P. (1931), 2773:Ramsey, F.P. (1929). 2737:Ramsey, F.P. (1927). 2679:Ramsey, F.P. (1928). 2652:Ramsey, F.P. (1927). 2593:Mellor, D.H. (1995). 2414:Bull. Amer. Math. Soc 2280:Frank P. Ramsey Medal 1729:, s2–25 (1), 338–384. 1390:Bayesian epistemology 1258:Frank P. Ramsey Medal 1057:Truth and Probability 1010:Truth and Probability 932:Theory of Simple Type 927:Principia Mathematica 582: 546: 510:Arthur Stanley Ramsey 432:Frank Plumpton Ramsey 164:Frank Plumpton Ramsey 3101:Atheist philosophers 2820:, Humanities Press, 2812:Ramsey, F.P. (1978) 2579:Keynes, John Maynard 2516:"Freud in Cambridge" 2237:The Economic Journal 2193:The Economic Journal 2107:The Economic Journal 2050:The Economic Journal 1924:Marouzi, S. (2022). 1821:Hájek, Alan (2019), 1231:Tjalling C. Koopmans 1198:The Economic Journal 1094:Bayesian probability 865:now bears his name ( 825:He is buried in the 730:in the Mathematical 577:Malting House School 54:improve this article 2836:, Dordrecht, Kluwer 2587:Essays in Biography 2285:13 May 2016 at the 2254:Essays in Biography 2038:Stiglitz, Joseph E. 1385:Frederick Rowbottom 1365:Quantum Bayesianism 784:Manchester Guardian 751:John Maynard Keynes 718:Ludwig Wittgenstein 636:John Maynard Keynes 534:John Maynard Keynes 480:Ludwig Wittgenstein 377:Ramsey–Lewis method 299:Analytic philosophy 3131:English economists 3081:English socialists 2523:Critical Quarterly 2306:www.econ.cam.ac.uk 2299:"CURRICULUM VITAE" 2064:10.1111/ecoj.12187 1807:F.P. Ramsey (1931) 1580:on 31 October 2020 1571:Proc. Aristot. Soc 1283:Harvard University 1279:Richard Zeckhauser 1158:wants to maximise 1144:Joseph E. Stiglitz 853:Mathematical logic 802:Suffering chronic 712:, both Fellows of 608:Siegfried Bernfeld 552:; he was enjoying 550:English literature 526:Winchester College 494:Cambridge Apostles 412:Keynes–Ramsey rule 287:Western philosophy 3126:Combinatorialists 3045:David Hugh Mellor 2972:978-1-85463-248-7 2944:978-0-19875-535-7 2904:Gottlieb, Anthony 2856:Ramsey's Ontology 2808:R. B. Braithwaite 2370:Arrow, K (1980). 2344:978-0-19875-535-7 1976:978-90-481-5920-8 1426:Ramsey, Frank P. 1239:population growth 1123:Oskar Morgenstern 1104:on that outcome. 887:first-order logic 687:Church of England 514:Magdalene College 508:where his father 429: 428: 130: 129: 122: 104: 16:(Redirected from 3193: 3176:Senior Wranglers 3076:English atheists 3013: 2976: 2965:. Smith-Gordon. 2948: 2922: 2920: 2918: 2892: 2875:(6): 1372–1377. 2797: 2779: 2769: 2746:Economic Journal 2743: 2733: 2727: 2719: 2717: 2715: 2694:(152): 543–559. 2688:Economic Journal 2685: 2675: 2673: 2648: 2635: 2622: 2605:(272): 243–262. 2557:Galavotti, M. C. 2553: 2551: 2549: 2543: 2537:. Archived from 2520: 2510: 2504: 2496: 2494: 2492: 2470: 2460: 2431: 2429: 2411: 2399:Bernstein, B. A. 2394: 2376: 2357: 2356: 2323: 2317: 2316: 2315:on 28 July 2014. 2314: 2308:. Archived from 2303: 2295: 2289: 2277: 2271: 2266: 2260: 2244:(157): 153–154. 2232: 2226: 2225: 2200:(152): 543–559. 2189: 2180: 2171: 2170: 2169: 2167: 2150:Dasgupta, Partha 2146: 2140: 2139: 2103: 2094: 2085: 2084: 2066: 2057:(583): 235–268. 2046: 2040:(1 March 2015). 2034: 2028: 2027: 2011: 2005: 1997:R.B. Braithwaite 1987: 1981: 1980: 1954: 1948: 1947: 1945: 1921: 1915: 1914: 1889:(6): 1372–1377. 1876: 1867: 1859:R.B. Braithwaite 1849: 1840: 1839: 1838: 1836: 1818: 1812: 1811: 1802: 1800: 1779: 1773: 1766: 1760: 1753: 1747: 1736: 1730: 1723: 1717: 1716: 1714: 1712: 1698: 1692: 1691: 1665: 1656: 1650: 1643: 1637: 1631: 1625: 1624: 1614: 1608: 1605: 1599: 1596: 1590: 1589: 1587: 1585: 1579: 1568: 1559: 1553: 1552: 1534: 1525: 1519: 1518: 1509:(136): 401–417. 1494: 1488: 1485: 1479: 1478: 1476: 1474: 1465:. Archived from 1455: 1449: 1446: 1440: 1439: 1437: 1435: 1423: 1417: 1407: 1333: 1331:Biography portal 1328: 1327: 1326: 1287:Harvard Business 1247:utility function 1168:price elasticity 1160:consumer surplus 1130:Bruno de Finetti 1119:John von Neumann 1035:optimal taxation 996:Causal Qualities 918:Bertrand Russell 899:Church's theorem 867:Ramsey's theorem 834:Nicholas Rescher 779:Benito Mussolini 764:Bertrand Russell 614:, a disciple of 563: 462: 461: 458: 457: 454: 451: 448: 445: 442: 402:Ramsey's theorem 372:Ramsey sentences 254: 252: 231: 199: 174:22 February 1903 173: 171: 153: 148: 134: 133: 125: 118: 114: 111: 105: 103: 62: 38: 30: 21: 3201: 3200: 3196: 3195: 3194: 3192: 3191: 3190: 3066: 3065: 3020: 2973: 2955:Simon Blackburn 2945: 2916: 2914: 2899: 2897:Further reading 2777: 2758:10.2307/2222721 2741: 2721: 2720: 2713: 2711: 2700:10.2307/2224098 2683: 2589:, New York, NY. 2547: 2545: 2541: 2518: 2498: 2497: 2490: 2488: 2468: 2409: 2374: 2366: 2361: 2360: 2345: 2337:. p. xxv. 2324: 2320: 2312: 2301: 2297: 2296: 2292: 2287:Wayback Machine 2278: 2274: 2267: 2263: 2233: 2229: 2206:10.2307/2224098 2187: 2181: 2174: 2165: 2163: 2147: 2143: 2120:10.2307/2222721 2101: 2095: 2088: 2044: 2035: 2031: 2012: 2008: 1988: 1984: 1977: 1955: 1951: 1922: 1918: 1877: 1870: 1850: 1843: 1834: 1832: 1819: 1815: 1798: 1796: 1780: 1776: 1767: 1763: 1754: 1750: 1737: 1733: 1724: 1720: 1710: 1708: 1700: 1699: 1695: 1680: 1663: 1657: 1653: 1644: 1640: 1632: 1628: 1615: 1611: 1606: 1602: 1597: 1593: 1583: 1581: 1577: 1566: 1560: 1556: 1532: 1526: 1522: 1495: 1491: 1486: 1482: 1472: 1470: 1469:on 18 July 2016 1457: 1456: 1452: 1447: 1443: 1433: 1431: 1424: 1420: 1408: 1404: 1399: 1394: 1355:Ramsey cardinal 1329: 1324: 1322: 1319: 1311:Donald Davidson 1307: 1295:Partha Dasgupta 1272: 1264:decision theory 1260: 1255: 1187:Partha Dasgupta 1183: 1148:economic theory 1140: 1060: 1019: 964: 952:New Foundations 914:Theory of Types 855: 850: 800: 728:Senior Wrangler 702: 665:Ramsey married 652:Harold Jeffreys 564: 561: 542:Senior Wrangler 530:Trinity College 502: 439: 435: 421: 355: 348: 317: 256: 253: 1925) 248: 244: 222: 214: 201: 197: 196:19 January 1930 188: 175: 169: 167: 166: 165: 155: 139: 126: 115: 109: 106: 63: 61: 51: 39: 28: 23: 22: 18:Frank P. Ramsey 15: 12: 11: 5: 3199: 3189: 3188: 3183: 3178: 3173: 3168: 3163: 3158: 3153: 3148: 3143: 3138: 3133: 3128: 3123: 3118: 3113: 3108: 3103: 3098: 3093: 3088: 3083: 3078: 3064: 3063: 3054: 3048: 3038: 3033: 3019: 3018:External links 3016: 3015: 3014: 2994: 2991:David Papineau 2971: 2958: 2943: 2923: 2912:The New Yorker 2898: 2895: 2894: 2893: 2881:10.1086/259716 2864: 2851: 2844: 2837: 2830: 2829: 2828: 2798: 2770: 2752:(145): 47–61. 2734: 2676: 2649: 2636: 2623: 2590: 2576: 2566: 2559:(Ed.) (2006), 2554: 2544:on 22 May 2011 2511: 2479:(3): 471–489. 2461: 2443:(3): 445–470. 2432: 2420:(9): 611–612. 2395: 2391:10.1086/260894 2385:(3): 636–638. 2365: 2362: 2359: 2358: 2343: 2318: 2290: 2272: 2261: 2227: 2172: 2141: 2114:(145): 47–61. 2086: 2029: 2006: 1982: 1975: 1949: 1936:(4): 489–508. 1916: 1895:10.1086/259716 1868: 1841: 1813: 1783:Goldman, Alvin 1774: 1761: 1748: 1731: 1718: 1693: 1678: 1651: 1638: 1626: 1609: 1600: 1591: 1554: 1520: 1489: 1480: 1450: 1441: 1418: 1401: 1400: 1398: 1395: 1393: 1392: 1387: 1382: 1377: 1372: 1367: 1362: 1357: 1352: 1347: 1342: 1336: 1335: 1334: 1318: 1315: 1306: 1303: 1271: 1268: 1259: 1256: 1254: 1251: 1203:Paul Samuelson 1182: 1177: 1152:Ramsey pricing 1139: 1134: 1059: 1054: 1043:Paul Samuelson 1018: 1015: 963: 960: 854: 851: 849: 846: 842:Lettice Ramsey 812:Guy's Hospital 799: 796: 706:I. A. Richards 701: 698: 681:. Despite his 679:Helen Muspratt 675:Lettice Ramsey 660:James Strachey 648:Lionel Penrose 644:Arthur Tansley 604:Lionel Penrose 600:psychoanalysis 559: 518:Michael Ramsey 501: 498: 427: 426: 423: 422: 420: 419: 414: 409: 404: 399: 394: 389: 387:Ramsey problem 384: 379: 374: 369: 364: 358: 356: 353: 350: 349: 347: 346: 341: 336: 331: 326: 320: 318: 316:Main interests 315: 312: 311: 306: 302: 301: 296: 290: 289: 284: 280: 279: 274: 270: 269: 266: 265: 262: 258: 257: 246: 242:Lettice Ramsey 240: 239: 237: 233: 232: 220: 216: 215: 202: 200:(aged 26) 194: 190: 189: 182:Cambridgeshire 176: 163: 161: 157: 156: 149: 141: 140: 137: 128: 127: 42: 40: 33: 26: 9: 6: 4: 3: 2: 3198: 3187: 3186:Ramsey family 3184: 3182: 3179: 3177: 3174: 3172: 3171:Vienna Circle 3169: 3167: 3164: 3162: 3159: 3157: 3154: 3152: 3149: 3147: 3144: 3142: 3139: 3137: 3134: 3132: 3129: 3127: 3124: 3122: 3119: 3117: 3114: 3112: 3109: 3107: 3104: 3102: 3099: 3097: 3094: 3092: 3089: 3087: 3084: 3082: 3079: 3077: 3074: 3073: 3071: 3062: 3058: 3055: 3052: 3049: 3046: 3042: 3039: 3037: 3034: 3031: 3030: 3025: 3022: 3021: 3011: 3007: 3003: 2999: 2998:Sabbagh, Karl 2995: 2992: 2988: 2984: 2980: 2974: 2968: 2964: 2959: 2956: 2952: 2946: 2940: 2936: 2932: 2928: 2927:Misak, Cheryl 2924: 2913: 2909: 2905: 2901: 2900: 2890: 2886: 2882: 2878: 2874: 2870: 2865: 2862: 2858: 2857: 2852: 2849: 2845: 2842: 2838: 2835: 2831: 2827: 2823: 2819: 2815: 2811: 2810: 2809: 2805: 2804: 2799: 2795: 2791: 2787: 2783: 2776: 2771: 2767: 2763: 2759: 2755: 2751: 2747: 2740: 2735: 2731: 2725: 2709: 2705: 2701: 2697: 2693: 2689: 2682: 2677: 2672: 2667: 2663: 2659: 2655: 2650: 2646: 2642: 2637: 2633: 2629: 2624: 2620: 2616: 2612: 2608: 2604: 2600: 2596: 2591: 2588: 2584: 2580: 2577: 2574: 2570: 2567: 2564: 2563: 2558: 2555: 2540: 2536: 2532: 2528: 2524: 2517: 2512: 2508: 2502: 2486: 2482: 2478: 2474: 2467: 2462: 2458: 2454: 2450: 2446: 2442: 2438: 2433: 2428: 2423: 2419: 2415: 2408: 2406: 2400: 2396: 2392: 2388: 2384: 2380: 2373: 2368: 2367: 2354: 2350: 2346: 2340: 2336: 2332: 2328: 2327:Misak, Cheryl 2322: 2311: 2307: 2300: 2294: 2288: 2284: 2281: 2276: 2270: 2265: 2259: 2255: 2251: 2247: 2243: 2239: 2238: 2231: 2223: 2219: 2215: 2211: 2207: 2203: 2199: 2195: 2194: 2186: 2179: 2177: 2161: 2160: 2155: 2151: 2145: 2137: 2133: 2129: 2125: 2121: 2117: 2113: 2109: 2108: 2100: 2093: 2091: 2082: 2078: 2074: 2070: 2065: 2060: 2056: 2052: 2051: 2043: 2039: 2033: 2025: 2022:(in French). 2021: 2017: 2010: 2004: 2003: 1998: 1994: 1993: 1986: 1978: 1972: 1968: 1964: 1960: 1953: 1944: 1939: 1935: 1931: 1927: 1920: 1912: 1908: 1904: 1900: 1896: 1892: 1888: 1884: 1883: 1875: 1873: 1866: 1865: 1860: 1856: 1855: 1848: 1846: 1830: 1829: 1824: 1817: 1810: 1808: 1794: 1793: 1788: 1784: 1778: 1771: 1765: 1759:, 38: 173–198 1758: 1752: 1745: 1741: 1735: 1728: 1722: 1707: 1703: 1697: 1689: 1685: 1681: 1679:0-7923-0857-3 1675: 1671: 1670: 1662: 1655: 1648: 1642: 1636: 1630: 1622: 1621: 1613: 1604: 1595: 1576: 1572: 1565: 1558: 1550: 1546: 1542: 1538: 1531: 1524: 1516: 1512: 1508: 1504: 1500: 1493: 1484: 1468: 1464: 1460: 1454: 1445: 1429: 1422: 1415: 1411: 1406: 1402: 1391: 1388: 1386: 1383: 1381: 1378: 1376: 1373: 1371: 1368: 1366: 1363: 1361: 1358: 1356: 1353: 1351: 1348: 1346: 1343: 1341: 1338: 1337: 1332: 1321: 1314: 1312: 1305:Ramsey Effect 1302: 1300: 1296: 1292: 1288: 1284: 1280: 1276: 1275:Howard Raiffa 1267: 1265: 1250: 1248: 1244: 1240: 1236: 1232: 1226: 1224: 1219: 1214: 1212: 1208: 1204: 1200: 1199: 1194: 1193: 1188: 1185:Described by 1181: 1176: 1174: 1169: 1165: 1164:marginal cost 1161: 1157: 1153: 1149: 1145: 1138: 1133: 1131: 1128: 1127:mathematician 1124: 1120: 1116: 1115: 1109: 1105: 1103: 1099: 1095: 1091: 1087: 1083: 1079: 1074: 1071: 1067: 1066: 1058: 1053: 1051: 1046: 1044: 1040: 1036: 1032: 1028: 1023: 1014: 1012: 1011: 1005: 1001: 997: 993: 989: 985: 981: 977: 973: 969: 959: 957: 953: 949: 945: 941: 937: 933: 929: 928: 923: 919: 916:developed by 915: 910: 908: 907:Ramsey theory 904: 903:combinatorics 900: 896: 892: 891:Alonzo Church 888: 884: 880: 877:, namely the 876: 872: 868: 864: 860: 845: 843: 839: 835: 830: 828: 823: 821: 817: 816:leptospirosis 813: 809: 805: 795: 793: 788: 786: 785: 780: 776: 772: 767: 765: 761: 757: 752: 747: 745: 741: 737: 733: 729: 725: 724: 719: 715: 711: 707: 697: 695: 694:Vienna Circle 690: 688: 684: 680: 676: 672: 668: 667:Lettice Baker 663: 661: 657: 653: 649: 645: 641: 637: 633: 629: 625: 621: 617: 613: 609: 605: 601: 594: 592: 587: 581: 578: 574: 573:Margaret Pyke 570: 558: 555: 551: 545: 543: 539: 535: 531: 527: 524:. He entered 523: 519: 515: 511: 507: 497: 495: 491: 487: 486: 481: 477: 473: 472:mathematician 469: 466: 460: 433: 424: 418: 415: 413: 410: 408: 405: 403: 400: 398: 395: 393: 390: 388: 385: 383: 382:Ramsey theory 380: 378: 375: 373: 370: 368: 365: 363: 360: 359: 357: 354:Notable ideas 351: 345: 342: 340: 337: 335: 332: 330: 327: 325: 324:Combinatorics 322: 321: 319: 313: 310: 307: 303: 300: 297: 295: 291: 288: 285: 281: 278: 275: 271: 267: 263: 259: 243: 238: 234: 229: 225: 221: 217: 213: 209: 205: 195: 191: 187: 183: 179: 162: 158: 147: 142: 135: 132: 124: 121: 113: 102: 99: 95: 92: 88: 85: 81: 78: 74: 71: –  70: 66: 65:Find sources: 59: 55: 49: 48: 43:This article 41: 37: 32: 31: 19: 3027: 3024:Frank Ramsey 3001: 2962: 2930: 2915:. Retrieved 2911: 2872: 2868: 2860: 2854: 2847: 2840: 2833: 2813: 2802: 2785: 2781: 2749: 2745: 2724:cite journal 2712:. Retrieved 2691: 2687: 2661: 2657: 2644: 2640: 2631: 2627: 2602: 2598: 2586: 2583:F. P. Ramsey 2572: 2560: 2546:. Retrieved 2539:the original 2526: 2522: 2501:cite journal 2489:. Retrieved 2476: 2472: 2440: 2436: 2417: 2413: 2404: 2382: 2378: 2330: 2321: 2310:the original 2305: 2293: 2275: 2264: 2253: 2241: 2235: 2230: 2197: 2191: 2164:, retrieved 2157: 2144: 2111: 2105: 2054: 2048: 2032: 2023: 2019: 2009: 2000: 1990: 1985: 1958: 1952: 1933: 1929: 1919: 1886: 1880: 1862: 1852: 1833:, retrieved 1826: 1816: 1804: 1797:, retrieved 1790: 1777: 1772:, 44: 70–80. 1769: 1764: 1756: 1751: 1739: 1734: 1726: 1721: 1709:. Retrieved 1705: 1696: 1668: 1654: 1641: 1629: 1618: 1612: 1603: 1594: 1582:. Retrieved 1575:the original 1570: 1557: 1540: 1536: 1523: 1506: 1502: 1499:"Universals" 1492: 1483: 1471:. Retrieved 1467:the original 1462: 1453: 1444: 1434:19 September 1432:. 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