Moses Schönfinkel: Difference between revisions
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}}</ref> On 7 December 1920 he delivered a talk |
}}</ref> On 7 December 1920 he delivered a talk to the group where he outlined the concept of [[combinatory logic]]. [[Heinrich Behmann]], a member of Hilbert's group, later revised the text and published it in 1924.<ref name="Archives">{{Citation | author = Curry, Haskell | title = Notes on Schönfinkel | version = 271128A (T271128A) | publisher = Curry archives | date = November 1927 | url = http://www.sadl.uleth.ca/cgi-bin/library?e=d-00000-00---off-0curry--00-0--0-10-0---0---0prompt-10---4-------0-1l--11-en-50---20-about---00-0-1-00-0-0-11-1-0utfZz-8-00&a=d&cl=CL1.8&d=T271128A | postscript = . }}{{dead link|date=December 2017 |bot=InternetArchiveBot |fix-attempted=yes }}</ref> In 1929, Schönfinkel had one other paper published, on special cases of the decision problem (''[[Entscheidungsproblem]]''), that was prepared by [[Paul Bernays]].<ref name="Kline">{{Citation | first1=G. L. | last1=Kline | title=Review of Foundations of mathematics and mathematical logic by S. A. Yanovskaya | journal=[[Journal of Symbolic Logic]] | volume=16 | pages=46–48 | year=1951 | doi=10.2307/2268665 | jstor=2268665 | issue=1 | last2=Anovskaa | first2=S. A.}}</ref> |
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After he left Göttingen, Schönfinkel returned to Moscow. By 1927 he was reported to be mentally ill and in a sanatorium.<ref name="Archives"/><ref name="Kline"/> His later life was spent in poverty, and he died in Moscow some time in 1942. His papers were burned by his neighbors for heating.<ref name="Kline"/> |
After he left Göttingen, Schönfinkel returned to Moscow. By 1927 he was reported to be mentally ill and in a sanatorium.<ref name="Archives"/><ref name="Kline"/> His later life was spent in poverty, and he died in Moscow some time in 1942. His papers were burned by his neighbors for heating.<ref name="Kline"/> |
Revision as of 18:44, 19 January 2021
Moses Ilyich Schönfinkel | |
---|---|
Novorossiysk University | |
Known for | Combinatory logic Technique for binding arguments Bernays–Schönfinkel class |
Scientific career | |
Fields | Mathematics |
Institutions | University of Göttingen |
Moses Ilyich Schönfinkel, also known as Moisei Isai'evich Sheinfinkel' (Russian: Моисей Исаевич Шейнфинкель; 29 September 1888 – 1942), was a
Life
Schönfinkel attended the
After he left Göttingen, Schönfinkel returned to Moscow. By 1927 he was reported to be mentally ill and in a sanatorium.[3][4] His later life was spent in poverty, and he died in Moscow some time in 1942. His papers were burned by his neighbors for heating.[4]
Work
Schönfinkel developed a formal system that avoided the use of
His paper also showed that functions of two or more arguments could be replaced by functions taking a single argument.[5][6][7] This replacement mechanism simplifies work in both combinatory logic and lambda calculus and would later be called currying, after Haskell Curry. While Curry attributed the concept to Schönfinkel, it had already been used by Frege[8] (an example of Stigler's Law).
Publications
- Moses Schönfinkel (1924). "Über die Bausteine der mathematischen Logik". Mathematische Annalen (in German). 92 (3–4): 305–316. S2CID 118507515. – Translated by Stefan Bauer-Mengelberg as "On the building blocks of mathematical logic" in Jean van Heijenoort, 1967. A Source Book in Mathematical Logic, 1879–1931. Harvard University Press, pp. 355–66.
- S2CID 122312654.
See also
References
- ^ Wolfram, Stephen (December 7, 2020). "Where Did Combinators Come From? Hunting the Story of Moses Schônfinkel". Stephen Wolfram Writings.
- ^ Cardone, Felice; Hindley, J. Roger, "History of Lambda-calculus and Combinatory Logic", in Gabbay, Dov M.; Woods, John (eds.), Handbook of the History of Logic, vol. 5, Elsevier
- ^ a b c Curry, Haskell (November 1927), Notes on Schönfinkel, 271128A (T271128A), Curry archives.[permanent dead link]
- ^ JSTOR 2268665
- S2CID 14124601.) (Reprinted lecture notes from 1967.)
There is a device originated by Schönfinkel, for reducing operators with several operands to the successive application of single operand operators.
{{cite journal}}
: Invalid|ref=harv
(help - S2CID 43352033.)
In the last line we have used a trick called Currying (after the logician H. Curry) to solve the problem of introducing a binary operation into a language where all functions must accept a single argument. (The referee comments that although "Currying" is tastier, "Schönfinkeling" might be more accurate.)
{{cite journal}}
: Invalid|ref=harv
(help - ^ Kenneth Slonneger and Barry L. Kurtz. Formal Syntax and Semantics of Programming Languages. 1995. p. 144.
- ^ Willard Van Orman Quine, introduction to "Bausteine der mathematischen Logik", pp. 305–316. Translated by Stefan Bauer-Mengelberg as "On the building blocks of mathematical logic" in Jean van Heijenoort (1967), A Source Book in Mathematical Logic, 1879–1931. Harvard University Press, pp. 355–66.
External links
- Media related to Moses Schönfinkel at Wikimedia Commons