scholarly journals Models, structures, and the explanatory role of mathematics in empirical science

Synthese ◽  
2021 ◽  
Author(s):  
Mary Leng

AbstractAre there genuine mathematical explanations of physical phenomena, and if so, how can mathematical theories, which are typically thought to concern abstract mathematical objects, explain contingent empirical matters? The answer, I argue, is in seeing an important range of mathematical explanations as structural explanations, where structural explanations explain a phenomenon by showing it to have been an inevitable consequence of the structural features instantiated in the physical system under consideration. Such explanations are best cast as deductive arguments which, by virtue of their form, establish that, given the mathematical structure instantiated in the physical system under consideration, the explanandum had to occur. Against the claims of platonists such as Alan Baker and Mark Colyvan, I argue that formulating mathematical explanations as structural explanations in this way shows that we can accept that mathematics can play an indispensable explanatory role in empirical science without committing to the existence of any abstract mathematical objects.

Author(s):  
Gabriel Tȃrziu

Can mathematics contribute to our understanding of physical phenomena? One way to try to answer this question is by getting involved in the recent philosophical dispute about the existence of mathematical explanations of physical phenomena. If there is such a thing, given the relation between explanation and understanding, we can say that there is an affirmative answer to our question. But what if we do not agree that mathematics can play an explanatory role in science? Can we still consider that the above question can have an affirmative answer? My main aim here is to give an account that takes mathematics, in some of the cases discussed in the literature, as contributing to our understanding of physical phenomena despite not being explanatory.


2020 ◽  
pp. 71-84
Author(s):  
Ярослав Очканов

Статья посвящена исследованию малоизученной стороны деятельности видного русского священнослужителя протоиерея Евгения Попова, бывшего с 1842 по 1875 гг. настоятелем русской посольской церкви в Лондоне. Его служение на Английской земле совпало с углублением диалога между Русской Православной и Англиканской церквами, явившегося следствием религиозных преобразований в Англии в 1830 - 1840-е гг. Отец Евгений в рассматриваемый период фактически стал связующим звеном между русским церковноначалием и англиканами - инициаторами единения двух Церквей. Он проделал огромную работу по популяризации православия в Англии и много сделал для ознакомления русской церковной общественности с вероучением и структурными особенностями англиканства. Материалом для исследования послужили, прежде всего, письма протоиерея Евгения Попова обер-прокурорам Святейшего Синода Н. А. Протасову и А. П. Толстому. Эти документы являются своеобразными отчётами о современном состоянии Англиканской Церкви, о религиозных течениях в ней и усилиях, предпринимаемых определёнными церковными кругами в Англии по сближению с православием. Результаты его деятельности имели важное значение в последующие десятилетия, когда англикано-православный диалог вышел на церковно-государственный уровень. The article is devoted to the insufficiently studied aspects of Russian prominent cleric Archpriest Eugene Popov, rector of Russian Embassy Church in London from 1842 to 1875. His Ministry on the English soil coincided with the deepening of the dialogue between the Russian Orthodox and Anglican Churches, which was the result of religious transformations in England in the 1830s and 1840s. Father Eugene in the period under consideration actually became a connecting link between the Russian Church authorities and the anglicans-initiators of the union of the two Churches. He had done a great job by popularizing Orthodoxy in England and by familiarizing the Russian Church community with the doctrine and structural features of Anglicanism. The study, first of all, is based the letters of Archpriest Yevgeny Popov to the chief prosecutors of the Holy Synod N. A. Protasov and A. P. Tolstoy, which were original reports on the current state of the Anglican Church, it’s religious trends, and the efforts made by certain Church circles in England to get closer to Orthodoxy. The fruits of his activities were important in the following decades, when the Anglican-Orthodox dialogue reached the Church-state level.


2019 ◽  
pp. 87-95

The article is devoted to the role of Tourism terminology in linguistics and the issue of general classification, peculiarities in the expression and translation of terms related to tourism in English into Uzbek and Russian, as well as the choice of the most optimal methods for translating terms in accordance with the requirements of this professional sphere. The terminology of the English language tourism is distinguished by its brightness, versatility. Tourism terms are formed under the influence of a generalized lexical layer of language and perform a specific functional function.Tourism terms are formed through the affixation method (prefixation, suffixation, circumphixation) and get rich through the process.The terminology of English Tourism is distinguished by its content and structural features, forming a part of the language vocabulary from the linguistic point of view. Texts in the field of Tourism take into their composition concepts of Tourism and interpret them in their content. They will be mainly in the form of advertising, as well as enlighten information about a particular region or place, create informational precedents and ensure their manifestation in the social cultural presence. The relevance of the study of the problems of translation of terms in the field of tourism has been investigated, mainly due to the development of international relations, expansion of cooperation between local and foreign companies, as well as the increase in this area of communication.


Author(s):  
Susanna Schellenberg

Chapter 5 takes a step back and traces the way in which excessive demands on the notion of perceptual content invite an austere relationalist account of perception. It argues that any account that acknowledges the role of discriminatory, selective capacities in perception must acknowledge that perceptual states have representational content. The chapter shows that on a relational understanding of perceptual content, the fundamental insights of austere relationalism do not compete with representationalism. Most objections to the thesis that perceptual experience has representational content apply only to austere representationalist accounts, that is, accounts on which perceptual relations to the environment play no explanatory role. By arguing that perceptual relations and perceptual content are mutually dependent the chapter shows how Fregean particularism can avoid the pitfalls of both austere representationalism and austere relationalism. With relationalists, Fregean particularism argues that perception is constitutively relational, but with representationalists it argues that it is constitutively representational.


Ethics ◽  
1986 ◽  
Vol 97 (1) ◽  
pp. 177-186
Author(s):  
Alexander Rosenberg

2021 ◽  
Author(s):  
Yuanhao Li ◽  
Jian Zhao ◽  
Hang Dong ◽  
Xiangrui Xi

The microstructure and dynamical behaviors of wax crystals in waxy crude oil are the fundamental reasons for a series of physical phenomena in the process of transportation. In order to...


2021 ◽  
pp. 104649642199789
Author(s):  
Patrícia L. Costa ◽  
Lisa Handke ◽  
Thomas A. O’Neill

Team virtuality has been mostly conceptualized as structural features, such as the percentage of time team members communicate via technology. However, the perception of distance and of information deficits (team perceived virtuality, TPV) may be an indispensable construct to understand virtual teams’ functioning. The lockdowns imposed on most countries due to COVID-19 created virtual teams with high degrees of structural virtuality. With structural virtuality held constant among teams, we explore configurations of work characteristics (autonomy, interdependence, and organizational support) that influence TPV. With a sample of 296 multinational workers, a Latent Profile Analysis identified four distinct profiles of those work characteristics. Those profiles related differently to TPV. Contrary to previous findings, interdependence seems to play an important role in these teams high in structural virtuality when their autonomy is also high, highlighting the pivotal role of frequent interaction among team members, under conditions of high structural virtuality.


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