On the Complexity of Creole Languages: The Fractal Approach

• Authors: Pietraszewska Natalia
• Languages of publication: EN

Abstracts

EN

The current paper aims to compare the complexity of texts translated into English-based creole languages and English. The main motivation for the choice of topic was the growing body of evidence that languages and language phenomena, such as texts, may be regarded as complex adaptable systems of signs. These systems may display some fractal properties, such as self-similarity at different scales. In consequence, texts may be analysed in the same manner as other fractal objects. It is possible, for instance, to estimate their fractal dimensions which, to some extent, reflect the degree of their structural complexity. Such an assumption enables one to calculate and compare fractal dimensions of parallel translations of texts to various languages in order to compare their complexity levels. Methods which enable comparisons of complexity of texts in different languages are particularly important with regard to creole languages, since the complexity of contact languages is still the subject of debate. In the following study, ten parallel translations of passages from the New Testament were mapped onto time series plots based on the length and the frequency rank of words. The values of Hurst exponent as well as fractal dimension were estimated and it was found that the studied time series did not differ significantly between English and English-based creoles with respect to their fractal dimensions. The results lend support to the idea that creole languages are simply new languages which are merely different from their superstrate language rather than being less complex, at least with regard to their lexical patterns.

Keywords

EN

fractal dimension; language complexity; creole languages; time series

• Publisher: Komisja Nauk Filologicznych Polskiej Akademii Nauk, Oddział we Wrocławiu
• Journal: Academic Journal of Modern Philology
• Year: 2015
• Volume: 4
• Pages: 73-80

Dates

published

2016

Contributors

author

Pietraszewska Natalia

• Philological School of Higher Education in Wrocław

References

• Altmann, Gabriel (1980) “Prolegomena to Menzerath’s Law.” [In:] Glottometrika 2; 1–10.
• Andres, Jan (2010) “On a Conjecture about the Fractal Structure of Language.” [In:] Journal of Quantitative Linguistics 17 (2); 101–122.
• Andres, Jan, Martina Benešová, Lubomír Kubáček, Jana Vrbková (2012) “Methodological Note on the Fractal Analysis of Texts.” [In:] Journal of Quantitative Linguistics 19 (1); 1–31.
• Ausloos, Marcel (2012) “Generalized Hurst Exponent and Multifractal Function of Original and Translated Texts Mapped into Frequency and Length Time Series.” [In:] Physical Review E 86 (3); 1–12.
• Beaugrande, Robert de, Wolfgang Dressler ([1972] 1981) Introduction to Text Linguistics. London, New York: Longman.
• Beckner, Clay, Richard Blythe, Joan Bybee, Morten H. Christiansen, William Croft, Nick C. Ellis, John Holland, Jinyun Ke, Diane Larsen‐Freeman, Tom Schoenemann (The “Five Graces Group”) (2009) “Language Is a Complex Adaptive System: Position Paper.” Wiley-Blackwell.
• Chandler, Daniel (2002) Semiotics: The Basics. London: Routledge.
• Chruszczewski, Piotr P. (2006) “On the Fractal Nature of Linguistic and Cultural Communication; an Outline Proposal.” [In:] Piotr P. Chruszczewski, Michał Garcarz, Tomasz P. Górski (eds.) At the Crossroads of Linguistic Sciences. Kraków: Tertium; 23–29 (Język a komunikacja. Vol. 10).
• Goldstein, Jeffrey (1999) “Emergence as a Construct: History, and Issues.” [In:] Emergence 1 (1); 49–72.
• Hall, Stuart (1980) “Cultural Studies: Two Paradigms.” [In:] Media, Culture and Society 2 (1); 57–72.
• Holm, John (2000) An Introduction to Pidgins and Creoles. Cambridge: Cambridge University Press.
• Hřebíček, Luděk (1995) Text Levels. Language Constructs, Constituents and the Menzerath-Altmann Law. Trier: Wissenschaftlicher Verlag Trier.
• Kale, Malhar, Ferry Butar Butar (2011) “Fractal Analysis of Time Series and Distribution Properties of Hurst Exponent.” [In:] Journal of Mathematical Sciences & Mathematics Education 5 (1); 8–19.
• Kosmidis, Kosmas, Alkiviadis Kalampokis, Panos Argyrakis (2006) “Language Time Series Analysis.” [In:] Physica A: Statistical Mechanics and Its Applications 370 (2); 808–816.
• Lewis, Paul, Gary F. Simons, Charles D. Fennig (eds.) (2014) Ethnologue: Languages of the World. 17th ed. Dallas: SIL International. (Online version: http://www.ethnologue.com).
• Liebovitch, Larry S., Daniela Scheurle (2000) “Two Lessons from Fractals and Chaos.” [In:] Complexity 5 (4); 34–43.
• Mandelbrot, Benoit (1989) “Fractal Geometry: What Is It, and What Does It Do?” [In:] Proceedings of the Royal Society A 423 (1864); 3–16.
• Popescu, Ioan-Iovitz, Peter Zörnig, Peter Grzybek, Sven Naumann, Gabriel Altmann (2013) “Some Statistics for Sequential Text Properties.” [In:] Glottometrics 26; 50–95.
• Rickles, Dean, Penelope Hawe, Alan Shiell (2007) “A Simple Guide to Chaos and Complexity.” [In:] Journal of Epidemiology and Community Health 61 (11); 933–937.
• Riley, Michael, Scott Bonnette, Nikita Kuznetsov, Sebastian Wallot, Jianbo Gao (2012) “A Tutorial Introduction to Adaptive Fractal Analysis.” [In:] Frontiers in Physiology 3; 371.
• Sandau, Konrad, Haymo Kurz (1997) “Measuring Fractal Dimension and Complexity – an Alternative Approach with an Application.” [In:] Journal of Microscopy 186 (2); 164–176.
• Sebeok, Thomas ([1994] 2001) Signs: An Introduction to Semiotics. Toronto, Buffalo: University of Toronto Press.
• Weron, Rafał (2002) “Measuring Long-Range Dependence in Electricity Prices.” [In:] Hideki Takayasu (ed.) Empirical Science of Financial Fluctuations. Tokyo: Springer; 110–119.