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Are Mathematicians, Physicists and Biologists Irrational? Intransitivity Studies vs. the Transitivity Axiom
Human Arenas. An Interdisciplinary Journal of Psychology, Culture, and Meaning. 2026. Vol. 9. No. 2. P. 1262–1291.
The status of the axioms of transitivity of dominance (“if x dominates y and y dominates z, then x dominates z” and “if a person prefers A to B and B to C, then that person should prefer A to C”) as key components of rationality is discussed. The discussion is conducted in the context of modern mathematical and natural science studies of systems in objectively intransitive (rock—paper—scissors) relations contradictory to the transitivity axioms. Experiential studies of solving problems about various intransitive objects and relations are described.
From an epistemological point of view, it seems reasonable to distinguish between 4 types of situations.
(1) Relations are objectively transitive, and problem solvers: (1a) make correct conclusions about them; or (1b) wrongly consider the relations as intransitive. Most cognitive studies are conducted in this paradigm.
(2) Relations are objectively intransitive, and problem solvers: (2a) make correct conclusions about them; or (2b) wrongly consider the relations as transitive (e.g., because of taking the transitivity axiom for granted). This has been minimally studied in cognitive psychology.
In general, for objectively transitive options, intransitive choices are fallacies. For objectively intransitive options, fallacies are transitive choices of the intransitive options.
Topological and graph theoretic approaches are more appropriate to present objectively intransitive objects and systems than metric approaches. Models of intransitive relations in biological studies are worthy of special interest in this context. Teaching intransitivity problem solving should be based on studies how abilities develop in this area and broader educational studies.
Gordin V. A., Efremenko D., Boundary-Layer Meteorology 2026 Vol. 192 No. 51
An inverse problem of reconstructing the turbulent exchange tensor from large archives of observed wind profiles within the Åkerblom–Ekman (A-E) model framework is investigated using high-vertical-resolution radiosonde observations. The reconstructed tensor provides improved agreement between modeled and observed wind profiles compared to classical formulations based on real turbulent exchange coefficient. Instead of the classical A-E ...
Added: October 16, 2026
Petrovskiy V., Психология. Журнал Высшей школы экономики 2016 Т. 13 № 3 С. 612 – 622
Два открывателя новизны, два мыслителя, один в науке, другой в искусстве — Владимир
Лефевр и Антонио Гауди — обнаруживают глубинное персональное сходство: нестандартность решений, многообразие компетенций, проницательность интуиции, эстетику мысли,
смелость фантазии — все это «их общее». Архитектор новаторской рефлексивной теории,
В.А. Лефевр перебросил мост между двумя реалиями – по ту и по сю сторону Я человека.
Теоретики-предшественники имели ...
Added: October 16, 2026
V. A. Petrovsky, Scientific and Technical Information Processing 2022 Vol. 49 No. 6 P. 472 – 480
This paper focuses on reflexive problematic statements represented by modal judgments of validity (subjective truth) and their combinations. It is proposed to describe these statements at three levels: reflexive problematic statements per se, modal judgments that characterize the validity of sentences constituting complex statements, and matrix representations of modal judgments. Modal judgments, as part of ...
Added: October 16, 2026
Kuznetsov A. P., Sedova Y. V., Stankevich N., Chaos, Solitons and Fractals 2026 Vol. 213 No. 12 Article 119309
We analyze the interaction of a quasi-periodic subsystem, in which two-, three-, and four- frequency quasi-periodic oscillations are possible, with a chaotic subsystem. A discrete version is obtained via the Euler scheme from the corresponding flow model. The dynamics of individual subsystems are discussed, including quasi-periodic bifurcations of invariant tori and the occur rence of ...
Added: October 16, 2026
Kasprzhak A. G., Образовательная политика 2026 Т. 26 № 3 С. 98–102
Статья посвящена вкладу педагога Анатолия Пинского в реформу российского образования начала 2000-х годов. Автор анализирует, как результаты исследования PISA-2000 и «Концепция модернизации до 2010 года» привели к запуску федерального эксперимента по профильному обучению (2003–2007). В тексте раскрываются ключевые механизмы реформы - внедрение индивидуальных учебных планов, разделение профильного и углубленного обучения, создание опорных школ. Показано, как ...
Added: October 15, 2026
Nersisyan A., Frontiers in Molecular Biosciences 2026 Vol. 13 Article 1995001
Antiviral activity is commonly summarized using endpoint measures such as EC50 or EC90, yet these quantities emerge from a dynamic biological system and depend on viral replication kinetics, host-cell properties, experimental design, and the assay used to quantify infection. Infectious-virus titers, viral RNA, infected-cell fractions, viability measurements, and immune readouts capture different components of the ...
Added: October 15, 2026
Aleksei Samarin, Nazarenko A., Nazarenko D. et al., Machine Learning and Knowledge Extraction 2026 Vol. 8 No. 10 Article 330
Automated microscopic image analysis is essential for quantitative microbiology, yet manual acquisition and generic recognition models struggle with morphological variability and scene artifacts. We address both ends of this pipeline. First, we present a low-cost, open-source acquisition system, based on an Arduino UNO R3 microcontroller and NEMA 17 stepper motors, that automates focusing, magnification, and ...
Added: October 14, 2026
Tulchinskii G. L., Философские науки 2026 Т. 68 № 6 С. 32–58
In the work, technology is considered as a special form of being, going beyond the utilitarian and instrumental understanding and forming a new ontological space. This space is described as a technocosmos or metacosmos: an autonomous and self-generating reality in which technologies do not simply serve human needs, but begin to constitute their own logic ...
Added: October 11, 2026
Rezvykh P. V., Вестник Российского университета дружбы народов. Серия: Философия 2019 Т. 23 № 1 С. 7–18
The article gives the detailed analysis of the ratio of freedom and imagination in an unpublished manuscript written by F.W.J. Schelling, which contains the materials for the lecture course read at Erlangen University in 1820-1821. The author focuses on the question of imagination as a condition for the possibility to unfold the modal differences that provide the ...
Added: October 7, 2026
Dvoinina V. K., Dvoinin A., Natural Systems of Mind 2026 Vol. 6 No. 3 P. 18–38
Background and research problem. The prevalence of epistemically unwarranted beliefs makes it critically important to study human cognitive capacities to resist indoctrination by pseudoscientific, conspiracist, and paranormal doctrines. The research problem addressed the question of whether cognitive abilities and rationality protect against susceptibility to epistemically unwarranted beliefs. Objective. To present a theoretical analysis of contemporary ...
Added: September 30, 2026
Ключников И. К., Saakyan T. V., Финансовый журнал 2025 Т. 17 № 1 С. 74–91
Subject. Rationality and efficiency of budgeting state subsidies to business entities. Objectives. To develop a science-based system for assessing the rationality and effectiveness of the process of state subsidization of business entities. Results. The interrelation of rationality and efficiency of the process of budgeting subsidies to business entities is substantiated. Determination of the logic of ...
Added: June 1, 2026
Кырма В. В., Орлова Е. О., Rozmainsky I. V., Журнал институциональных исследований 2025 Т. 17 № 3 С. 136–156
In this paper, we conducted a study of the prevalence of cheating among university students and analyzed the factors contributing to this phenomenon. Cheating is a form of opportunism, when an individual chooses a strategy to achieve success through deception, manipulation, or forgery. The research was carried out on the basis of a survey created ...
Added: October 8, 2025
Springer Publishing Company, 2025.
This book focuses on benefiting artificial intelligent tools in our business and social life under emerging conditions. Human-centric, resilient, and sustainable industries are built on ideals like human-centricity, ecological advantages, or social benefits. The mission of human-centric artificial intelligence is to improve people’s lives by offering solutions that boost productivity, accessibility to resources, security, well-being, ...
Added: July 31, 2025
Emerging Adults’ Autonomy in Romantic Narrative Identities: Choices Between Emotions and Rationality
Victoria G. Yerofeyeva, Ekaterina M. Tsyganova, Bochaver A. A., Trends in Psychology 2025
This study examines how emerging adults define autonomy through their roman
tic relationship choices. Emerging adulthood provides a lot of opportunities to try
different things, but the diversity of alternatives makes it difficult to choose. Under
these conditions, autonomy becomes a necessary personal characteristic. We set
out to examine how young people construct romantic narratives identities based
on the characteristics ...
Added: July 25, 2025
Panos Pardalos, Valery Kalyagin, Mario R. Guarracino, Computational Management Science 2024 Vol. 21 No. 1 Article 35
Big data has become an integral part of modern networks. With the increasing amount of data generated by devices, machines, and applications, networks are constantly being challenged to handle and process this data in a timely and efficient manner. The size, complexity, and variety of data in networks are increasing rapidly, which requires new approaches ...
Added: February 22, 2025
Azhimov F., Pruzhinin B. I., Zhukova O. et al., М.: РОССПЭН, 2024.
Коллективная монография, посвященная 80-летию известного российского философа-эпистемолога Б. И. Пружинина, представляет основные тематические векторы его творчества – наука, рациональность, эпистемологический стиль русской философии, многообразие культур – на пересечении мнений, высказанных российскими и зарубежными философами (коллегами и друзьями юбиляра) на круглых столах. Стержневой темой публикуемых дискуссий стала концепция культурно-исторической эпистемологии: участники обсуждали ее философско-методологический потенциал в ...
Added: January 14, 2025
Andronova E., Мир психологии. Научно-методический журнал 2024 № 4(119) С. 133–145
While numerous studies have explored conceptual structure and its role in learning, few have delved into the content characteristics of concepts themselves. Even fewer have investigated how these content characteristics relate to the broader learning process, especially problem solving. This paper focuses on one such characteristic — levels of abstraction — and offers a theoretical ...
Added: December 24, 2024
Degterev D. A., Абрамова Е. А., Современная Европа 2024 № 5(126) С. 74–87
The ongoing foreign policy failures of France in Africa, primarily in the countries of the Sahel zone, force us to pay special attention to the mechanisms of decision-making in this area, which is the focus of this paper. A key place is given to the role of the academic community in the foreign policy expertise ...
Added: November 19, 2024
Springer, 2024.
This book presents recent research in intelligent and fuzzy techniques on Intelligent Industrial Informatics and Efficient Networks. This cutting-edge field integrates advanced technologies, such as artificial intelligence, machine learning and data analytics, into industrial processes, revolutionizing the way industries operate. The book presents the examples of the implementation of smart sensors and IoT devices, which ...
Added: September 14, 2024
Markiewicz P., Научный вестник ГосНИИ ГА 2020 № 30 С. 58–66
This article considers the problem of choosing a wing airfoil, taking into account the multi-purpose nature of light civilian aircraft. For a given class of aircraft, it is assumed that the flight is performed at airspeed less than the critical Mach number, this allows to omit the effect of compressibility on airfoil performance. We validate ...
Added: September 12, 2024
Kartasheva Anna, Tomiltseva D., , in: 2024 IEEE Ural-Siberian Conference on Biomedical Engineering, Radioelectronics and Information Technology (USBEREIT), 13-15 May 2024.: IEEE, 2024. P. 185–187.
Technologies and algorithms combine quantitative data about people and deep insights into the causes of human actions, empowering people to create new artificial agents. The article raises the challenges of implementing normativity in urban spaces equipped with technical systems with artificial intelligence. The improvement of urban life is come through access to technology also the ...
Added: September 9, 2024
Oreshkina T., Kartasheva Anna, Zabokritskaya L., , in: 2024 IEEE Ural-Siberian Conference on Biomedical Engineering, Radioelectronics and Information Technology (USBEREIT), 13-15 May 2024.: IEEE, 2024. P. 217–219.
The study discusses the integration of technological solutions based on social media data for vocational guidance in education. It focuses on educational guidance services like «Career Guidance Robot», «Wizard», and «IOT Navigator». The analysis explores reasons for unsuccessful launches of career guidance services, emphasizing the challenge of achieving sufficient prediction accuracy and its impact on ...
Added: September 9, 2024
Isaev D., В кн.: Инжиниринг предприятий и управление знаниями (ИП&УЗ–2022). Сборник научных трудов XXV Российской научно-практической конференции, г. Москва, 6–7 декабря 2022 г.Т. 1.: М.: ФГБОУ ВО "РЭУ им. Г.В. Плеханова", 2022. С. 138–143.
The paper considers a structured approach to multi-criteria management decision making based on criteria of different types. The differences in the types of criteria are explained by availability of different types of supporting indicators (both quantitative and qualitative), as well as by availability of missing values for some indicators. Main stages of the decision making ...
Added: September 2, 2024
Kanaeva N., Вопросы философии 2024 № 7 С. 139–149
The paper presented to the reader’s attention pursues two goals. The first is a substantiation of the productivity of the concept “epistemic culture” (hereinafter – EC) as a tool of historico-philosophical intercultural research by the example of its application to the interpretation of the meanings of Indian logico-epistemological texts. The second is a demonstration of ...
Added: July 6, 2024