Logical Pluralism and Algebraic Systems

V. L. Vasyukov

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July 20, 2026

Scientists Create Open Dataset for Studying Concentration

A team of Russian researchers, including scientists from HSE University–St Petersburg, has developed the first open multimodal dataset containing recordings of brain activity, heart function, and video observations to help researchers understand what happens in the human brain during deep concentration. In the future, the dataset could accelerate the development of neural interfaces, rehabilitation technologies, and AI systems. The article has been published in Scientific Data.

July 20, 2026

‘Science Is Universal-It Knows No Borders

Fuad Aleskerov, Tenured Professor and Director of the International Centre of Decision Choice and Analysis at HSE University, together with his colleagues, has developed methods of network analysis in bibliometrics that have made it possible to identify patterns in the appearance and citation of publications in academic journals, as well as their influence on each other. When one or a number of studies are frequently cited by a wide range of journals, this is an indicator that the research is of high quality. By contrast, extensive cross-citation within a limited group of journals increases the likelihood of identifying a network of predatory publications.

July 20, 2026

Scientists Propose Method for More Efficient Resource Use in Machine Learning

An international group of researchers, including mathematicians from the AI and Digital Science Institute at the HSE Faculty of Computer Science, has provided a theoretical justification for a simple and computationally efficient method of estimating uncertainty in Stochastic Gradient Descent (SGD). The paper has been published on the scientific preprint server arXiv.org and presented at AISTATS 2026.

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Publications

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Logical Pluralism and Algebraic Systems

P. 10–11.

Vasyukov V. L.

The impact of logical pluralism on the development of modern science still is disputable but there are studies in progress allowing to make this issue more popular. It would be demonstrated that some new aspects of those studies are connected with the pluralistic approach to the well-known results in mathematical logic, speciﬁcally in the theory of algebraic systems.

Language: English

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Keywords: logical pluralism algebraic structure

Publication based on the results of:

The Ontology of Negativity (2013)

In book

Восьмые смирновские чтения по логике. Труды международной конференции

М.: Современные тетради, 2013.

On Metalogical Relativism

Vasyukov V. L., , in: The Road to Universal Logic.: Basel: Birkhauser/Springer, 2015. P. 495–511.

The conception of logical pluralism claims that there is not one true logic but there are many. The conception of metalogical relativism is based on the assumption that there is not one correct answer as to whether a given argument is deductively valid, but there are many—many non-classical answers depending of which non-classical metalogic we ...

Added: November 12, 2014

Inconsistent logics! Incoherent logics?

Schang F., The Reasoner 2009 Vol. 3 No. 7 P. 8–9

H. Slater famously argued that there are no paraconsistent logics, inasmuch as paraconsistent negation is not a proper negation. Such a vivid attack has been variously replied, including an appropriate reply by J.Y. Beziau, where the author resorted to the same conceptual framework as Slater’s argument: the theory of opposition. Slater argues that, in order to overcome the view that ...

Added: October 31, 2014