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Why Binary Merge?

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Linguists have accumulated evidence for binary merge. This paper adds mathematical reason. The computational procedures of human natural language (CHL) choose binary merge because it can contain more information, and lacks optimal balance. Nature organizes network currents to minimize information loss. This is the physical principle of minimal computation (MC). CHL obeys MC. Nature has created CHL in the human brain. Nature has selected binary merge whose balance is not optimal, and information loss (error) is not minimized. However, this unsettled unbalance (asymmetry) of binary merge drives the infinite growth of binary trees.

Abstract

Linguists have accumulated evidence for binary merge. This paper adds mathematical reason. The computational procedures of human natural language (CHL) choose binary merge because it can contain more information, and lacks optimal balance. Nature organizes network currents to minimize information loss. This is the physical principle of minimal computation (MC). CHL obeys MC. Nature has created CHL in the human brain. Nature has selected binary merge whose balance is not optimal, and information loss (error) is not minimized. However, this unsettled unbalance (asymmetry) of binary merge drives the infinite growth of binary trees.

참고문헌 (38)

  1. Arikawa, K., "Is word order asymmetry mathematically expressible?", Biolinguistics, 7, pp.276~300 (2013)
  2. Arikawa, K., "Graph-theoretic and physical account of binary versus ternary branching structure in human natural language computation", St. Andrew’s University Bulletin of the Research Institute, 41(2), pp.79~108 (2015)
  3. Arikawa, K., "Does Gaussian elimination teach about uninterpretable feature elimination in CHL?", St. Andrew’s University Bulletin of the Research Institute, 42(3)
  4. Belder, M. D., "How to merge a root", Linguistic Inquiry, 46, pp.625~655 (2015)
  5. Bošković, Ž, "Multiple wh-fronting and economy of derivation", West Coast Conference on Formal Linguistics, 16, pp.49~63 (1997)
  6. Chomsky, N., "Syntactic structures" (1957), Mouton
  7. Chomsky, N., "The Minimalist Program" (1995), The MIT Press
  8. Chomsky, N., "Three factors in language design", Linguistic Inquiry, 36, pp.1~22 (2005)
  9. Chomsky, N., "The science of language: interviews with James McGilvray" (2012), Cambridge University Press
  10. Fukui, N., "On the nature of economy in language", Cognitive Studies, 3, pp.51~71 (1996)
  11. Hale, K., "Preliminary remarks on configurationality", North East Linguistic Society, 12, pp.86~96 (1982)
  12. Honma, T., (1975), Koodansya
  13. Huang, C. -T. J., "Logical relations in Chinese and the theory of grammar", Doctor, pp.1982
  14. Jaspers, D., "Categories and recursion", Journal of Applied Linguistics, 12, pp.81~112 (1998)
  15. Kayne, R., "Connectedness and binary branching" (1984), Foris
  16. Kayne, R., "The antisymmetry of syntax" (1994), MIT Press
  17. Langendoen, D. T., "Formal approaches to function in grammar: In honor of Eloise Jelinek", pp.307~318 (2003), John Benjamins
  18. Lasnik, H., "Syntactic structures revisited: contemporary lectures on classic transformational theory" (2000), MIT Press
  19. Miyagawa, S., "Structure and Case Marking in Japanese" (1989), Academic Press
  20. Newton, I.,
  21. Piattelli-Parmarini, M., "Still a bridge too far? Biolinguistic questions for grounding language on brains", Physics of Life Reviews, 5, pp.207~224 (2008)
  22. Ross, J. R., "Constraints on variables in syntax", Doctor, pp.1967
  23. Rudin, C., "On multiple questions and multiple wh-fronting", Natural Language and Linguistic Theory, 6, pp.445~501 (1988)
  24. Saito, M., "Weak crossover and move α in Japanese", Natural Languages and Linguistic Theory, 1, pp.245~259 (1983)
  25. Shannon, C. E., "A mathematical theory of communication", The Bell System Technical Journal, 27, pp.379~423 (1948)
  26. Schrödinger, E., "What Is Life? The Physical Aspect of the Living Cell" (1967), Cambridge University Press
  27. Stewart, I., "Concepts of Modern Mathematics" (1995), Dover
  28. Strang, G., "Computational Science and Engineering" (2007), Wellesley-Cambridge Press
  29. Strang, G., "Computational science and engineering videos. Lecture 1(Four special matrices), 12(Graphs and networks)and 13(Kirchhoff’s current law). MITOCW", MITOCW, ~ (2008)
  30. Strang, G., "Introduction to Linear Algebra" (2009), Wellesley-Cambridge Press
  31. Strang, G., "Differential Equations and Linear Algebra" (2014), Wellesley-Cambridge Press
  32. Strang, G., "18.06 Linear Algebra videos. Lecture 2 (Elimination with matrices)and 15 (Projections onto subspaces)", MITOCW, ~ (2015)
  33. Takaoka, E., (2012), Koodansya
  34. Thompson, D’Arcy W., "On Growth and Form" (1992), Dover
  35. Uriagereka, J., "Rhyme and reason: an introduction to minimalist syntax" (2000), MIT Press
  36. Zwart, C. J-W., "Prospects for top-down derivation", Catalan Journal of Linguistics, 8, pp.161~187 (2009)
  37. Zwart, C. J-W., "Advances in comparative Germanic syntax", pp.59~84 (2009), Benjamins
  38. Zwart, C. J-W., "Oxford handbook of linguistic Minimalism", pp.96~118 (2011), Oxford University Press

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