Jan Łukasiewicz

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Jan Łukasiewicz
20th-century philosophy
RegionWestern philosophy
  • Polish philosophy
Analytical philosophy
Main interests
Philosophical logic, mathematical logic and history of logic
Notable ideas
Polish notation
Łukasiewicz logic
Łukasiewicz–Moisil algebra
Reductive reasoning

Jan Łukasiewicz (Polish:

Aristotelian logic also builds on innovative works by Łukasiewicz, which applied methods from modern logic to the formalization of Aristotle's syllogistic.[3]

The Łukasiewicz approach was reinvigorated in the early 1970s in a series of papers by John Corcoran and Timothy Smiley that inform modern translations of Prior Analytics by Robin Smith in 1989 and Gisela Striker in 2009.[4] Łukasiewicz is regarded as one of the most important historians of logic.

Life

He was born in

Roman Catholic.[citation needed
]

He finished his

Lemberg University, where he studied philosophy and mathematics. He was a pupil of the philosopher Kazimierz Twardowski.[5]

In 1902, he received a Doctor of Philosophy degree under the patronage of Emperor Franz Joseph I of Austria, who gave him a special doctoral ring with diamonds.[6]

He spent three years as a private teacher, and in 1905, he received a scholarship to complete his philosophy studies at the

University of Louvain in Belgium.[6]

Łukasiewicz continued studying for his

In 1915, he was invited to lecture as a full professor at the University of Warsaw, which the German occupation authorities had reopened after it had been closed down by the Tsarist government in the 19th century.[6]

In 1919, Łukasiewicz left the university to serve as Polish Minister of Religious Denominations and Public Education in Paderewski's government until 1920. Łukasiewicz led the development of a Polish curriculum replacing the Russian, German and Austrian curricula that had been used in partitioned Poland. The Łukasiewicz curriculum emphasized the early acquisition of logical and mathematical concepts.[citation needed]

In 1928, he married Regina Barwińska.[6]

He remained a professor at the University of Warsaw from 1920 until 1939, when the family house was destroyed by German bombs, and the university was closed by the German occupation. He had been a rector of the university twice during which Łukasiewicz and

Lwów–Warsaw school of logic, which was later made famous internationally by Alfred Tarski
, who had been a student of Leśniewski.

During the start of the

Underground University. After the Nazi occupation authorities had closed the university, he earned a meager living in the Warsaw city archive. His friendship with Heinrich Scholz (German professor of mathematical logic) helped him, too, and it was Scholz who arranged for the Łukasiewicz family's passage to Germany in 1944 (Łukasiewicz was fearful of the Red Army advance). Jan Łukasiewicz and his wife wanted to move to Switzerland but were unable to get permission from the German authorities. They thus spent the last months of the war in Münster, Germany. After the end of the war, unwilling to return to a Soviet-controlled Poland, they moved first to Belgium, where Łukasiewicz taught logic at a provisional Polish Scientific Institute.[6]

In February 1946, at the invitation of Irish political leader Éamon de Valera, Łukasiewicz and his wife relocated to Dublin, where they remained until his death there a decade later. In Ireland, he briefly served as Professor of Mathematical Logic at the Royal Irish Academy (a position created for him). His duties involved giving frequent public lectures.[7]

During this period, his book Elements of Mathematical Logic was published in English by Macmillan (1963, translated from Polish by Olgierd Wojtasiewicz).

Jan Łukasiewicz died on 13 February 1956. He was buried in Mount Jerome Cemetery, in Dublin. At the urging of the Armenian community in Poland, his remains were repatriated to Poland 66 years later. He was reburied on 22 November 2022 in Warsaw's Old Powązki Cemetery.[8]

From October to December 2022, the Royal Irish Academy in Dublin hosted an exhibition on his life and work.[9]

Łukasiewicz's papers (post-1945) are held by the University of Manchester Library.

Work

A number of axiomatizations of

three-valued propositional calculus, introduced in 1917, was the first explicitly axiomatized non-classical logical calculus. He wrote on the philosophy of science, and his approach to the making of scientific theories was similar to the thinking of Karl Popper
.

Łukasiewicz invented the Polish notation (named after his nationality) for the logical connectives around 1920. A quotation from a paper by Jan Łukasiewicz in 1931[10]: 367, Footnote 3) [11]: 180, Footnote 3)  states how the notation was invented:

I came upon the idea of a parenthesis-free notation in 1924. I used that notation for the first time in my article Łukasiewicz (1), p. 610, footnote.

The reference cited by Łukasiewicz, i.e., Łukasiewicz (1),[12] is apparently a lithographed report in Polish. The referring paper[10] by Łukasiewicz was reviewed by Henry A. Pogorzelski in the Journal of Symbolic Logic in 1965.[13]

In Łukasiewicz's 1951 book, Aristotle's Syllogistic from the Standpoint of Modern Formal Logic, he mentions that the principle of his notation was to write the functors before the arguments to avoid brackets (i.e., parentheses) and that he had employed his notation in his logical papers since 1929.[3]: 78  He then goes on to cite, as an example, a 1930 paper he wrote with Alfred Tarski on the sentential calculus.[14]

This notation is the root of the idea of the

Burroughs B5000 computer designed by Robert S. Barton and his team at Burroughs Corporation in Pasadena, California. The concepts also led to the design of the English Electric multi-programmed KDF9 computer system of 1963, which had two such hardware register stacks. A similar concept underlies the reverse Polish notation (RPN, a postfix notation) of the Friden EC-130 calculator and its successors, many Hewlett-Packard calculators, the Lisp and Forth programming languages, and the PostScript
page description language.

Recognition

Lwów-Warsaw School philosophers (right to left) Kazimierz Twardowski, Jan Łukasiewicz, Alfred Tarski, Stanisław Leśniewski
.

In 2008 the Polish Information Processing Society established the Jan Łukasiewicz Award, to be presented to the most innovative Polish IT companies.[15]

From 1999 to 2004, the Department of Computer Science building at UCD was called the Łukasiewicz Building, until all campus buildings were renamed after the disciplines they housed.

His model of

3-valued logic allowed for formulating Kleene's ternary logic and a meta-model of empiricism, mathematics and logic, i.e. senary logic.[16]

Chronology

Selected works

Books

  • Łukasiewicz, Jan (1951). Aristotle's Syllogistic from the Standpoint of Modern Formal Logic. Oxford University Press. 2nd Edition, enlarged, 1957. Reprinted by Garland Publishing in 1987.
  • Łukasiewicz, Jan (1928). Elementy logiki matematycznej (in Polish). .
  • Łukasiewicz, Jan (1964) [1963]. Elements of Mathematical Logic. Translated from Polish by Olgierd Wojtasiewicz. New York, Macmillan. .
  • Łukasiewicz, Jan (1970). Ludwik Borkowski (ed.). Selected Works. North-Holland Pub. Co.
    OCLC 115237
    .
  • Łukasiewicz, Jan (1998). Jacek Jadacki (ed.). Logika i metafizyka. Miscellanea (in Polish). .

Papers

See also

References

  1. ^ "Home from home – An Irishman’s Diary on Polish logician, mathematician and philosopher Jan Lukasiewicz" by Oliver O’Hanlon, The Irish Times, 2019-04-08
  2. ^ Jan Łukasiewicz on Porta Polonica
  3. ^ .)
  4. ISBN 978-0-19-925041-7." in the Notre Dame Philosophical Reviews, 2010.02.02 Archived 2011-06-15 at the Wayback Machine
    .
  5. ^ Jan Łukasiewicz at the Mathematics Genealogy Project
  6. ^ a b c d e f "Jan Łukasiewicz". The Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University. 2021.
  7. ^ Jan Łukasiewicz Stanford Encyclopedia of Philosophy
  8. ^ at the Old Powązki Cemetery, Prof. Jan Łukasiewicz Polskie Radio 24, 22-11-2022
  9. ^ Jan Łukasiewicz, Professor of Mathematical Logic at the Royal Irish Academy 07 November 2022, Royal Irish Academy
  10. ^ a b Łukasiewicz, Jan (1931). "Uwagi o aksjomacie Nicoda i 'dedukcji uogólniającej'" [Comments on Nicod's Axiom and on 'Generalizing Deduction']. Księga pamiątkowa Polskiego Towarzystwa Filozoficznego We Lwowie, 12. II. 1904-12. II. 1929 (in Polish). Lwów: Wydawnictwo Polskie Towarzystwo Filozoficzne. pp. 366–383.
  11. ^ Łukasiewicz, Jan (1970). "Comments on Nicod's Axiom and on 'Generalizing Deduction'". In Borkowski, L. (ed.). Selected Works. Amsterdam and London/Warszawa: North-Holland Publishing Company/Polish Scientific Publishers. pp. 179–196.
  12. ^ Łukasiewicz, Jan (1929). "O znaczeniu i potrzebach logiki matematycznej". Nauka Polska (in Polish). 10: 604–620.
  13. ^ Pogorzelski, H. A., "Reviewed work(s): Remarks on Nicod's Axiom and on "Generalizing Deduction" by Jan Łukasiewicz; Jerzy Słupecki; Państwowe Wydawnictwo Naukowe", The Journal of Symbolic Logic, Vol. 30, No. 3 (September 1965), pp. 376–377. This paper by Jan Łukasiewicz was re-published in Warsaw in 1961 in a volume edited by Jerzy Słupecki. It had been published originally in 1931 in Polish.
  14. ^ Łukasiewicz, Jan; Tarski, Alfred, "Untersuchungen über den Aussagenkalkül" ["Investigations into the sentential calculus"], Comptes Rendus des séances de la Société des Sciences et des Lettres de Varsovie, Vol. 23 (1930) Cl. III, pp. 31–32. This paper can be found translated into English in Chapter IV "Investigations into the Sentential Calculus", pp.39-59, in Logic, Semantics, Metamathematics: Papers from 1923 to 1938 by Alfred Tarski, translated into English by J. H. Woodger, Oxford University Press, 1956; 2nd edition, Hackett Publishing Company, 1983
  15. ^ "2009 International Multiconference on Computer Science and Information Technology (IMCSIT)", conference report
  16. ^ Zi, Jan (2019), Models of 6-valued measures: 6-kinds of information, Kindle Direct Publishing Science

Further reading

External links