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Open AccessArticlePost Publication Peer ReviewVersion 1, Original

Mathematics and Poetry • Unification, Unity, Union (Version 1, Original)

Simion Stoilow Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, 010702 Bucharest, Romania
Received: 27 July 2020 / Accepted: 29 July 2020 / Published: 3 August 2020
(This article belongs to the Special Issue Mathematics and Poetry, with a View towards Machine Learning)
Peer review status: 1st round review Read review reports

Reviewer 1 Ibrahim Senturk Department of Mathematics, Ege University, İzmir 35100, Turkey Reviewer 2 Rohitash Chandra Currently, he is Chancellor’s Fellow at the Centre for Translational Data Science, University of Sydney, Australia. Reviewer 3 Michael Voskoglou Graduate TEI of Western Greece
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Approved with revisions
Authors' response
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Authors' response
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. View Full-Text
Keywords: Yang–Baxter equation (QYBE); Euler’s formula; dual numbers; UJLA structures; classical means inequalities; poetry Yang–Baxter equation (QYBE); Euler’s formula; dual numbers; UJLA structures; classical means inequalities; poetry
MDPI and ACS Style

Nichita, F.F. Mathematics and Poetry • Unification, Unity, Union. Sci 2020, 2, 58.

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Reviewer 1

Sent on 17 Aug 2020 by Ibrahim Senturk | Approved
Department of Mathematics, Ege University, İzmir 35100, Turkey

This manuscript constructs a good bridge between mathematics and poetry. So, I think that this manuscript is a readable paper by people interested with mathematics and poetry.

Response to Reviewer 1

Sent on 20 Sep 2020 by Florin Nichita

Dear Reviewer, We also invite you to publish in Sci in the future. Best wishes, Author

Reviewer 2

Sent on 20 Aug 2020 by Rohitash Chandra | Approved with revisions
Currently, he is Chancellor’s Fellow at the Centre for Translational Data Science, University of Sydney, Australia.

 The above paper is interesting, giving mathematical analysis with theorems and proofs, but I think this alone is not enough. The paper needs to be significantly extended to include experimental analysis, provide statistical analysis on some selected poems and then link with the proofs presented. A better literature review is needed and proper results section with discussion is also needed.

 

Major revisions needed 

Response to Reviewer 2

Sent on 20 Sep 2020 by Florin Nichita

Dear Reviewer, We appreciate your effort for reading this paper and your interest in mathematics and poetry. We are glad that you consider this paper interesting and we hope that we will collaborate in the future. In a future paper, we will consider your suggestions. Best wishes, Author

Reviewer 3

Sent on 09 Sep 2020 by Michael Voskoglou | Approved with revisions
Graduate TEI of Western Greece

The paper under review contains examples of unification structures in mathematics (non associative structures and Differential Geometry, mean inequalities, etc.) and comments about the Yang-Baxter modified equation and Euler's formulas for dual numbers.The author tries at theend to link all those mathematical topics to poetry. Although the article is well written and pleasantly readable, one can hardly find connections among the several topics discussed in it. In particular, the link attempted to poetry is, according to my opinion, shallow and superficial. A better justification of the relative connections is certainly needed from the author.

Response to Reviewer 3

Sent on 20 Sep 2020 by Florin Nichita

Andre Weil explains that the areas of modern mathematics need to be unified in a simple and general theory. In this way, we will see more clearly which are the main problems in mathematics (Axioms 2018, 7, 85). The current paper could be seen as a hybrid paper. It contains mathematical results, but it also suggests some poetic vision. a "poet" (Pablo Neruda, Unity) on the shore of the mathematical ocean observes that means could be unified, the three matrix problem and the Yang-Baxter equation can be united in a new problem, three kinds of representative coalgebras were previously unified (Remark 5 - Axioms 2018, 7, 85). This unifications are surprising ("It happened" - Ana Blandiana, Union). The ;link with poetry is just suggested, hidden, or referred to (https://www.poetrysoup.com/poems/euler).

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