1887
Volume 47, Issue 2-3
  • ISSN 0302-5160
  • E-ISSN: 1569-9781
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Abstract

Summary

Toward the end of his life, Zellig Harris (1909–1992) wrote a brief account of the origins and development of his work to establish the foundations of a science of language on mathematical principles. A French translation was published in 1990, and in the same publication appeared a parallel appraisal from a mathematical point of view by André Lentin (1913–2015). Early the following year, having reread Lentin’s essay several times, Harris wrote him the letter which is presented here. More than a gesture of thanks and appreciation, this letter further illuminates the comprehensive overview afforded by the two essays, both of which appeared in English in 2002.

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2021-04-02
2023-09-24
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References

  1. Alama, Jesse & Johannes Korbmacher
    2019 “The Lambda Calculus”. The Stanford Encyclopedia of Philosophyed. byEdward N. Zalta. Stanford: Metaphysics Research Lab. URL =https://plato.stanford.edu/archives/spr2019/entries/lambda-calculus/
    [Google Scholar]
  2. Bahdanau, Dzmitry, Kyunghyun Cho & Yoshua Bengio
    2015 “Neural Machine Translation by Jointly Learning to Align and Translate”. 3rd International Conference on Learning Representations (ICLR 2015). San Diego, CA [arXiv:1409.0473].
    [Google Scholar]
  3. Barendregt, Henk
    1997 “The Impact of the Lambda Calculus in Logic and Computer Science”. The Bulletin of Symbolic Logic3:2.181–215. 10.2307/421013
    https://doi.org/10.2307/421013 [Google Scholar]
  4. Birkhoff, Garrett
    19673 [1940]1 Lattice Theory. American Mathematical Society Colloquium Publications, 25 (3rd ed.). Providence, R.I.: American Mathematical Society.
    [Google Scholar]
  5. Bishop, Errett
    1967Foundations of Constructive Analysis. New York: Academic Press.
    [Google Scholar]
  6. Bloomfield, Leonard
    1935 “Linguistic Aspects of Science”. Philosophy of Science2.499–517. 10.1086/286392
    https://doi.org/10.1086/286392 [Google Scholar]
  7. 1939Linguistic aspects of science. [Monograph.] International Encyclopedia of Unified Science1.4. Chicago: University of Chicago Press.
    [Google Scholar]
  8. Bridges, Douglas & Erik Palmgren
    2018 “Constructive Mathematics”. The Stanford Encyclopedia of Philosophyed. byEdward N. Zalta. Stanford: Metaphysics Research Lab. URL = https://plato.stanford.edu/archives/sum2018/entries/mathematics-constructive/
    [Google Scholar]
  9. Daladier, Anne
    1990a “Aspects constructifs des grammaires de Zellig Harris”. Langages99.57–84. 10.3406/lgge.1990.1592
    https://doi.org/10.3406/lgge.1990.1592 [Google Scholar]
  10. 1990b “Une représentation applicative des énoncés et de leurs dérivations”. Langages99.92–127. 10.3406/lgge.1990.1594
    https://doi.org/10.3406/lgge.1990.1594 [Google Scholar]
  11. 2016 “L’inconsistance de la théorie des opérateurs de Harris : de la fin des grammaires finitistes à une typologie inductive”. Perspectives harrissiennesed. byClaire Martinot, Christiane Marque-Pucheu & Sonia Gerolimich, 13–35. Paris: Cellule de recherche en linguistique, (CRL).
    [Google Scholar]
  12. Dybjer, Peter & Erik Palmgren
    2020 “Intuitionistic Type Theory. The Stanford Encyclopedia of Philosophyed. byEdward N. Zalta. Stanford: Metaphysics Research Lab. URL = https://plato.stanford.edu/archives/sum2020/entries/type-theory-intuitionistic/
    [Google Scholar]
  13. Gleitman, Lila
    2002 “Verbs of a feather flock together II: The child’s discovery of words and their meanings”. The Legacy of Zellig Harris: Language and information into the 21st Century, Vol. 1: Philosophy of science, syntax, and semanticsed. byBruce Nevin, 209–229. Amsterdam: John Benjamins. 10.1075/cilt.228.17gle
    https://doi.org/10.1075/cilt.228.17gle [Google Scholar]
  14. Gross, Maurice
    1979 “On the Failure of Generative Grammar”. Language55:4.859–885. 10.2307/412748
    https://doi.org/10.2307/412748 [Google Scholar]
  15. 1984 “Lexicon-grammar and the Syntactic Analysis of French”. Proceedings of the 10th International Conference on Computational Linguistics (COLING ‘84), 275–282. Stanford (Cal.): Association for Computational Linguistics. 10.3115/980431.980549
    https://doi.org/10.3115/980431.980549 [Google Scholar]
  16. 2002 “Consequences of the Metalanguage Being Included in the Language”. The Legacy of Zellig Harris: Language and information into the 21st Century, Vol. 1: Philosophy of science, syntax, and semanticsed. byBruce Nevin, 57–67. Amsterdam: John Benjamins. 10.1075/cilt.228.07gro
    https://doi.org/10.1075/cilt.228.07gro [Google Scholar]
  17. Harris, Zellig S.
    1946 “From Morpheme to Utterance”. Language22:3.161–183. 10.2307/410205
    https://doi.org/10.2307/410205 [Google Scholar]
  18. 1957 “Co-occurrence and Transformation in Linguistic Structure”. Language33:3(1).283–340. 10.2307/411155
    https://doi.org/10.2307/411155 [Google Scholar]
  19. 1965 “Transformational Theory”. Language41:3.363–401. 10.2307/411782
    https://doi.org/10.2307/411782 [Google Scholar]
  20. 1968Mathematical Structures of Language. (=Interscience Tracts in Pure and Applied Mathematics, 21.) New York: Interscience Publishers John Wiley & Sons.
    [Google Scholar]
  21. 1969The Two Systems of Grammar: Report and paraphrase. (=Transformations and Discourse Analysis Papers, 79.) Philadelphia: University of Pennsylvania. [Repr. inPapers in Structural and Transformational Linguisticsed. by inHenry Hiż, 612–692. Dordrecht/ Holland: D. Reidel 1970; repr. and revised inTransformationelle Analyse: Die Transformationstheorie von Zellig Harris und ihre Entwicklung / Transformational Analysis: The transformational theory of Zellig Harris and its developmented. bySenta Plötz (=Linguistische Forschungen, 8.), 58–240. Frankfurt/Main: Athenäum-Verlag 1972; repr. in a shortened version inPapers on Syntaxed. byHenry Hiż (=Synthese Language Library, 14.), 293–351. Dordrecht/Holland: D. Reidel 1981.]
    [Google Scholar]
  22. 1982A Grammar of English on Mathematical Principles. New York: Wiley/Interscience.
    [Google Scholar]
  23. 1988Language and Information. (=Bampton Lectures in America, 28.) New York: Columbia University Press. [Revised version of the Bampton Lectures given atColumbia University, New York City, inOct. 1986, URL=zelligharris.org/langinf.html.]
    [Google Scholar]
  24. 2002 [1990] “The background of transformational and metalanguage analysis”. The Legacy of Zellig Harris: Language and information into the 21st Century, Vol. 1: Philosophy of science, syntax, and semanticsed. byBruce Nevin, 1–15. Amsterdam: John Benjamins. (Translated byAnne Daladieras “La genèse de l’analyse des transformations et de la métalangue”, Langages99.9–19 1990.) Available athttps://www.persee.fr/doc/lgge_0458-726x_1990_num_25_99_1589
    [Google Scholar]
  25. 1991A Theory of Language and Information: A mathematical approach. Oxford & New York: Clarendon Press.
    [Google Scholar]
  26. Harris, Zellig S. & Paul Mattick, Jr.
    1988 “Science Sublanguages and the Prospects for a Global Language of Science”. Annals of the American Academy of Political and Social Science495.73–83 [Vol. Telescience: Scientific Communication in the Information Age.] 10.1177/0002716288495001007
    https://doi.org/10.1177/0002716288495001007 [Google Scholar]
  27. Harris, Zellig S., Michael Gottfried, Thomas Ryckman, Paul Mattick, Jr., Anne Daladier, Tzvee N. Harris & Suzanna Harris
    1989 “The Form of Information in Science: Analysis of an immunology sublanguage”. Preface byHilary Putnam. (=Boston Studies in the Philosophy of Science, 104.) Dordrecht/Holland & Boston: Kluwer Academic Publishers.
    [Google Scholar]
  28. Heijenoort, Jean van
    2002From Frege to Gödel: A source book in mathematical logic, 1879–1931. Cambridge: Harvard University Press.
    [Google Scholar]
  29. Hiż, Henry M.
    1983 Review: Logico-Linguistic Papers by Richard M. Martin, Language and Society12:2.286–287.
    [Google Scholar]
  30. Iemhoff, Rosalie
    2019 “Intuitionism in the Philosophy of Mathematics”. The Stanford Encyclopedia of Philosophyed. byEdward N. Zalta. Stanford: Metaphysics Research Lab. URL = https://plato.stanford.edu/archives/win2019/entries/intuitionism/
    [Google Scholar]
  31. Johnson, Stephen B.
    2002 “The Computability of Operator Grammar”. The Legacy of Zellig Harris: Language and information into the 21st Century, Vol. 2: Mathematics and computability of languageed. byBruce Nevin & Stephen B. Johnson, 143–160. Amsterdam: John Benjamins. 10.1075/cilt.229.11joh
    https://doi.org/10.1075/cilt.229.11joh [Google Scholar]
  32. Joshi, Aravind K.
    2002 “Hierarchical Structure and Sentence Description”. The Legacy of Zellig Harris: Language and information into the 21st Century, Vol. 2: Mathematics and computability of languageed. byBruce Nevin & Stephen B. Johnson, 121–141. Amsterdam: John Benjamins. 10.1075/cilt.229.10jos
    https://doi.org/10.1075/cilt.229.10jos [Google Scholar]
  33. Lentin, André
    1990 “Quelques réflexions sur les références mathématiques dans l’œuvre de Zellig Harris”. Langages99.85–91. Available athttps://www.persee.fr/doc/lgge_0458-726x_1990_num_25_99_1593. 10.3406/lgge.1990.1593
    https://doi.org/10.3406/lgge.1990.1593 [Google Scholar]
  34. 2002 “Reflections on References to Mathematics in the Work of Zellig Harris”. The Legacy of Zellig Harris: Language and information into the 21st Century, Vol. 2: Mathematics and computability of languageed. byBruce Nevin & Stephen B. Johnson, 1–9. Amsterdam: John Benjamins. 10.1075/cilt.229.03len
    https://doi.org/10.1075/cilt.229.03len [Google Scholar]
  35. Mancosu, Paolo
    1998From Brouwer to Hilbert: The Debate on the foundations of mathematics in the 1920s. Oxford: Clarendon Press.
    [Google Scholar]
  36. Martin-Löf, Per
    1968Notes on Constructive Analysis. Stockholm: Almquist & Wiksell.
    [Google Scholar]
  37. 1975 “An Intuitionistic Theory of Types: predicative part”. Logic Colloquium 1973ed. byHarvey E. Rose and John C. Shepherdson, 73–118. Amsterdam: North-Holland. 10.1016/S0049‑237X(08)71945‑1
    https://doi.org/10.1016/S0049-237X(08)71945-1 [Google Scholar]
  38. Miller, Jim & Regina Weinert
    1998Spontaneous Spoken Language: Syntax and discourse. Oxford: Oxford University Press.
    [Google Scholar]
  39. Moot, Richard & Christian Retoré
    2019 “Natural Language Semantics and Computability”. Journal of Logic, Language and Information28:2.287–307. 10.1007/s10849‑019‑09290‑7
    https://doi.org/10.1007/s10849-019-09290-7 [Google Scholar]
  40. Nevin, Bruce E.
    ed. 2002The Legacy of Zellig Harris: Language and information into the 21st Century, Vol. 1: Philosophy of science, syntax, and semantics. Amsterdam: John Benjamins. 10.1075/cilt.228
    https://doi.org/10.1075/cilt.228 [Google Scholar]
  41. Nevin, Bruce E. & Stephen B. Johnson
    eds. 2002The Legacy of Zellig Harris: Language and information into the 21st Century, Vol. 2: Mathematics and computability of language. Amsterdam: John Benjamins. 10.1075/cilt.229
    https://doi.org/10.1075/cilt.229 [Google Scholar]
  42. Russell, Bertrand
    1903Principles of Mathematics. Cambridge: Cambridge University Press.
    [Google Scholar]
  43. Sager, Naomi
    1981Natural Language Information Processing: A computer grammar of English and its applications. Reading (Mass.): Addison-Wesley.
    [Google Scholar]
  44. Wells, Joe Brian
    1999 “Typability and Type Checking in System F are Equivalent and Undecidable”. Annals of Pure and Applied Logic98:1–3.111–156. 10.1016/S0168‑0072(98)00047‑5
    https://doi.org/10.1016/S0168-0072(98)00047-5 [Google Scholar]
  45. Weyl, Hermann
    1998 [1921] “Über die neue Grundlagenkrise der Mathematik”. Mathematische Zeitschrift10.39–79. (Translated as “On the New Foundational Crisis in Mathematics”, inFrom Brouwer to Hilbert: The Debate on the foundations of mathematics in the 1920sbyPaolo Mancosu, 86–122. Oxford: Clarendon Press 1998.)
    [Google Scholar]
  46. 1946 “Mathematics and Logic”. American Mathematical Monthly53:1.2–13.
    [Google Scholar]
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