Special Issue "Mathematics and Poetry, with a View towards Machine Learning"

A special issue of Sci (ISSN 2413-4155).

Deadline for manuscript submissions: 15 November 2021.

Special Issue Editor

Dr. Florin Felix Nichita
E-Mail Website
Guest Editor
Simion Stoilow Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
Interests: (co)algebras; bialgebras; Yang–Baxter equations; Lie (co)algebras; quantum groups; Hopf algebras; duality theories; Jordan algebras; non-associative structures; topology; differential geometry
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Special Issue Information

Dear Colleagues,

We start by proposing three guiding questions for our Special Issue:

(i) What are the similarities (and differences) between mathematical problems and poetic works?

(ii) What kind of mathematical problems can be solved by computers?

(iii) Could computers write poetry with the help of Machine Learning techniques?

Let us comment now on the connections and intermediate levels between mathematics and poetry.

The Fields Medalist Cedric Villani explores these topics in his recent book, “Mathematics is the Poetry of Science” (2020). A great lover of poetry, he insists that the two are intrinsically linked in their aim of both tackling the complexities of our reality as well as distancing us from it. 

The recipient of the “Golden Wreath” for 2019, the main award of the “Struga Poetry Evenings”, the Romanian poet Ana Blandiana, has written poetry inspired from scientific concepts.

In a series of papers on the meetings between the famous poet Nichita Stănescu and the Academician Solomon Marcus, by the author of this Special Issue (see “Caiete Critice” 3/2018, etc.), several intermediate levels between mathematics and poetry are considered.

The above three questions could be considered in the framework of the Big Data Theory and of Machine Learning. For example, Sophia is a social humanoid robot developed by Hong-Kong-based company Hanson Robotics. In October 2017, Sophia became a Saudi Arabian citizen, and it has participated in many high-profile interviews. Hanson designed Sophia to be a suitable companion for the elderly at nursing homes, but it can also be used while treating coronavirus-infected people. If this type of robot could improvise poetry or solve some basic mathematical problems, it could be a better companion.

The focus of this Special Issue will be on the link between mathematics and poetry. High-quality papers on Machine Learning, Big Data and Artificial Intelligence may be accepted, especially if they shed some light on the above guiding questions.

Dr. Florin Felix Nichita
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Sci is an international peer-reviewed open access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Mathematical poetry
  • Poetical mathematics
  • Geometry and poetry
  • Poems with mathematical imagery
  • Transcendental numbers in poetry
  • Machine Learning
  • Big Data
  • Artificial Intelligence
  • Transdisciplinarity
  • Coronavirus

Published Papers (2 papers)

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Research

Article
Statistics and Machine Learning Experiments in English and Romanian Poetry
Sci 2020, 2(4), 92; https://doi.org/10.3390/sci2040092 - 11 Dec 2020
Viewed by 1658
Abstract
This paper presents a quantitative approach to poetry, based on the use of several statistical measures (entropy, informational energy, N-gram, etc.) applied to a few characteristic English writings. We found that English language changes its entropy as time passes, and that entropy depends [...] Read more.
This paper presents a quantitative approach to poetry, based on the use of several statistical measures (entropy, informational energy, N-gram, etc.) applied to a few characteristic English writings. We found that English language changes its entropy as time passes, and that entropy depends on the language used and on the author. In order to compare two similar texts, we were able to introduce a statistical method to asses the information entropy between two texts. We also introduced a method of computing the average information conveyed by a group of letters about the next letter in the text. We found a formula for computing the Shannon language entropy and we introduced the concept of N-gram informational energy of a poetry. We also constructed a neural network, which is able to generate Byron-type poetry and to analyze the information proximity to the genuine Byron poetry. Full article
(This article belongs to the Special Issue Mathematics and Poetry, with a View towards Machine Learning)
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Article
Mathematics and Poetry • Unification, Unity, Union
Sci 2020, 2(4), 84; https://doi.org/10.3390/sci2040084 - 25 Nov 2020
Viewed by 1662
Abstract
We consider a multitude of topics in mathematics where unification constructions play an important role: the Yang–Baxter equation and its modified version, Euler’s formula for dual numbers, means and their inequalities, topics in differential geometry, etc. It is interesting to observe that the [...] Read more.
We consider a multitude of topics in mathematics where unification constructions play an important role: the Yang–Baxter equation and its modified version, Euler’s formula for dual numbers, means and their inequalities, topics in differential geometry, etc. It is interesting to observe that the idea of unification (unity and union) is also present in poetry. Moreover, Euler’s identity is a source of inspiration for the post-modern poets. Full article
(This article belongs to the Special Issue Mathematics and Poetry, with a View towards Machine Learning)

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: GRAPH COVERINGS FOR INVESTIGATING NON LOCAL STRUCTURES IN PROTEINS, MUSIC AND POEMS
Authors: MICHEL PLANAT†, RAYMOND ASCHHEIM‡, MARCELO M. AMARAL‡, FANG FANG‡ AND KLEE IRWIN‡
Affiliation: † Universit´e de Bourgogne/Franche-Comt´e, Institut FEMTO-ST CNRS UMR 6174, 15 B Avenue des Montboucons, F-25044 Besanc¸on, France. ‡ Quantum Gravity Research, Los Angeles, CA 90290, USA
Abstract: It is shown how the secondary structure of proteins, musi-cal forms and verses of poems are approximately ruled by universal laws relying on graph coverings. In this direction, one explores the group structure of a variant of the SARS-Cov-2 protein passing from the pri-mary code with aminoacids to the secondary structures organizing the foldings. Then, one investigates in much detail the group structure of a small poem in prose by Charles Baudelaire and that of the Bateau Ivre by Arthur Rimbaud.

Title: Dante Alighieri in Italian language linguistic analysis Scientific validation of graphs
Authors: Ritamaria Bucciarelli; Federico Bucciarelli; Giulia Savarese; F. Saverio Tortoriello
Affiliation: Università di Siena ; Miur, Università di Salerno; università di Salerno
Abstract: In the digital universe, a plurality of languages has led us to develop new communication models that increasingly assume the characteristics of formal code and are synthetic and homologated by area: no longer words or phrases but instead algorithms and acronyms for scientific knowledge. Thus, it seems natural to ask what virtual communicator for an intelligent society, but above all, what Paideia? The answer comes from university academies that are calling for increasingly open culture such that everyone has access to resources and tools. The aim of this research is to produce a corpus and scientific model that reformulates the poetic text, therefore not only archiving data about the cultures of places and peoples but exploring the human soul to understand the ideologies, values, places and historical eras described and enclosed in the melodious verses of a master of style and rhetoric like Dante Alighieri in his Divine Comedy. The research team aims to produce a scientific model of data formalisation, focusing on the moments and infinitesimals of semantics that result from the consciousness of a man who tries with style and skill to stop a century of history, culture, ethics and values, as well as the traditions of a poem in which the words of love vibrate by the association of morphs and fears of dysmorphia – that is, an alliterative effect and then by an appropriate combination of manipulative and substitution linguistic mechanisms or dislocation. The research consists of the following aspects: 1) a study of the features of the cantiches of Dante Alighieri’s Divine Comedy interpolated with a focus on classical texts in Latin and Greek to find points of contact in style and rhetoric and then explain linguistic mechanisms through phonetic and syntactic morph analysis of the chosen traits, performed by team experts; 2) language environments for the production of automated features and automatic similarity processing; and 3) implementation of the Digital Intelligence W. Tool, a latest-generation software technology.

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