Abstract
Information theory developed by Claude Shannon in the 1940s provides a simple, but powerful model for reasoning about communication that far transcends the relatively narrow technical domain of telecommunications, for which it was initially developed. The use of language for exchanging messages is, arguably, the most distinctive feature of Homo sapiens as a species. Language is central for almost everything we do, and among many different ways language is used, poetry is perhaps the most enigmatic. Poetry is an ancient invention and never went out of fashion, but the reasons for its existence and the mechanisms of its impact remain elusive. Does information theory have anything to say about poetry? If poetry is often conceptualized as a message with highly concentrated meaning, can it be proven that it has high information content? Attempts to answer these questions in the past 60 years that we review in this chapter are rich with important insights and nagging paradoxes.
References
Abernathy R (1961) Mathematical linguistics and poetics. In: Davie D (ed) Poetics. Poetyka. Poetika. Państwowe Wydawnictwo Naukowe, Warsaw, pp 564–569
Aristotle (2008) Poetics. Cosimo classics. Cosimo Classics, New York. ISBN:9781605203553. https://books.google.com/books?id=L6MzVeeCyN4C. Translated by Butcher SH
Blake W, Erdman D, Bloom H (2008) The complete poetry and prose of William Blake. University of California Press. ISBN:9780520256378. https://books.google.com/books?id=p-yaJajW3kEC
Burton NG, Licklider JCR (1955) Long-range constraints in the statistical structure of printed English. Am J Psychol 68 (4): 650–653
Cover TM, King RC (1978) A convergent gambling estimate of the entropy of English. Trans Inf Theory 24 (4): 413–421
Dumas JG, Roch JL, Tannier É, Varrette S (2015) Foundations of coding: compression, encryption, error correction. Wiley. ISBN:9781118960523. https://books.google.com/books?id=d-AWBgAAQBAJ
Fónagy I (1961) Informationsgehalt von Wort und Laut in der Dichtung. In: Davie D (ed) Poetics. Poetyka. Poetika. Państwowe Wydawnictwo Naukowe, Warsaw, pp 591–605. In German
Geide M (2006) Dorechevoe [before speech]. Text only (a web publication), (17). http://textonly.ru/case/?issue=17&article=9538. In Russian
Grietzer P (2017a) Deep learning, literature, and aesthetic meaning, with applications to Modernist studies. Précis of April’17 HUJI Einstein Institute of Mathematics talk. https://medium.com/@peligrietzer/informal-research-overview-deep-learning-sense-and-literature-with-applications-to-modernist-fc22f12858ae
Grietzer P (2017b) Mood, vibe, system: the geometry of ambient meaning. PhD thesis, Harvard University. https://www.academia.edu/36402721/Mood_Vibe_System_The_Geometry_of_Ambient_Meaning
Haynes T (2007) Interview on NPR’s All Things Considered program, 15 Nov 2007. Audio recording. http://www.npr.org/templates/story/story.php?storyId=16303037
Hopkins GM, Blaisdell B (2013) Selected poems of Gerard Manley Hopkins. Dover Thrift Editions. Dover Publications. ISBN:9780486320779. https://books.google.com/books?id=rRHCAgAAQBAJ
Jakobson R (1987) Raboty po poetike [Works on Poetics], chapter “Post Scriptum” to Questions de poetique. Progress, Moscow, pp 80–95. In Russian
Jakobson R, Pomorska K, Rudy S (1987) Language in literature. Belknap Press series. Belknap Press. ISBN:9780674510289. https://books.google.com/books?id=5AEB8QfCtMMC
Joyce J (2012) Finnegans wake. Wordsworth. ISBN:9781840226614
Kharms D (2002) Zapisnye knizhki. Dnevniki. [Notebooks. Diaries.]. Akademicheskij proekt, SPb
Kolmogorov AN (1968) Three approaches to the quantitative definition of information. Int J Comput Math 2 (1–4): 157–168
Kolmogorov AN (1997) Semioticheskie poslaniia [Semiotic letters]. Novoe Literaturnoe Obozrenie (24): 216–243. http://magazines.russ.ru/nlo/1997/24/kholmog.html
Kolmogorov AN (2002) On possible applications of basic information-theoretic concepts to the study of verse, literary prose and translation techniques. In: Uspensky VA (ed) Works in non-mathematics, vol 2. OGI, Moscow, pp 743–745. In Russian
Kontoyiannis I (1996/1997) The complexity and entropy of literary styles. NSF Technical report no. 97, Department of Statistics, Stanford University, June 1996/Oct 1997
Lotman IuM (1977) The structure of the artistic text. Michigan Slavic contributions. Department of Slavic Languages and Literature, University of Michigan
Mandel O (1998) Fundamentals of the art of poetry. Sheffield Academic Press. ISBN:9781850758372
Manin DYu (2003) Explanatory note [to the site ygrec.org]. In Russian. http://ygrec.org/cgi/kl/showComment.cgi?id=1
Manin DYu (2011) Chopped-up prose or liberated verse? An experimental study of Russian vers libre. Mod Philol 108 (4): 580–596. https://doi.org/10.1086/660697
Manin DY (2012) The right word in the left place: measuring lexical foregrounding in poetry and prose. Sci Study Lit 2 (2): 273–300. ISSN:2210-4372. https://doi.org/10.1075/ssol.2.2.05man
Manin DY, Manin YI (2017) Cognitive networks: brains, internet, and civilizations. In: Sriraman B (ed) Humanizing mathematics and its philosophy. Birkhäuser, Cham. ISBN:978-3-319-61230-0. https://doi.org/10.1007/978-3-319-61231-7_9
McGlone MS, Tofighbakhsh J (1999) The Keats’ heuristic: Rhyme as reason in aphorism interpretation. Poetics 26 (4): 235–244.
Merriam-Webster online (2018) “poetry”. https://www.merriam-webster.com/dictionary/poetry
Moradi H, Grzymala-Busse JW, Roberts JA (1998) Entropy of English text: experiments with humans and a machine learning system based on rough sets. Inf Sci Int J (104): 31–47
Paisley WJ (1966) The effects of authorship, topic structure, and time of composition on letter redundancy in English text. J Verbal Behav 5: 28–34
Pereira FCN, Singer Y, Tishby N (1996) Beyond word n-grams. arXiv:cmp-lg/9607016
Perloff N (2017) Explodity: sound, image, and word in Russian futurist book art. The Getty Research Institute publications program. Getty Research Institute. ISBN:9781606065082. https://books.google.com/books?id=kYwmDwAAQBAJ
Shannon CE (1948) A mathematical theory of communication. Bell Syst Techn J 27 (3): 379–423. ISSN:1538-7305. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
Shannon CE (1951) Prediction and entropy of printed English. Bell Syst Tech J 30 (1): 50–64. https://doi.org/10.1002/j.1538-7305.1951.tb01366.x
Shklovsky V (2015) Art, as device. Poetics Today 36 (3): 151–174. Translated from Russian by Berlina A
Teahan WJ, Cleary JG (1996) The entropy of English using PPM-based models. In: Proceedings of data compression conference DCC’96, Snowbird
Uspensky VA (1997) A preface for the readers of Novoe literaturnoe obozrenie to Andrei Nikolaevich Kolmogorov’s Semiotic letters. Novoe Literaturnoe Obozrenie (24): 123–209. http://magazines.russ.ru/nlo/1997/24/uspensky.html. In Russian
Uspensky VA (2002) Works in non-mathematics. OGI, Moscow. ISBN:5-94282-086-4. In Russian
Wikipedia (2018) Basic English. https://en.wikipedia.org/wiki/Basic_English
Yaglom AM, Yaglom IM (1983) Probability and information. Theory and decision library. Springer, Netherlands. ISBN:9789027715227
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Manin, D. (2021). Running in Shackles: The Information-Theoretic Paradoxes of Poetry. In: Sriraman, B. (eds) Handbook of the Mathematics of the Arts and Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-57072-3_55
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