Logical Pluralism and Algebraic Systems

V. L. Vasyukov

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September 4, 2026

Time to Showcase Your Research: Applications Are Now Open for Student Research Paper Competition 2026

Taking part in the Student Research Paper Competition (SRPC) gives you an opportunity to present your research to experts, receive an independent assessment, and determine the future direction of your work. The competition is open to students graduating in 2026 not only from HSE University but from universities in Russia and abroad. Papers may be submitted in Russian and English, and in some fields also in French, German, and Spanish.

September 4, 2026

‘Hedgehog Versus ‘Relatives: Researchers Measure How the Brain Responds to Unexpected Words During Natural Speech

Russian neurophysiologists, including researchers from HSE University, have demonstrated the feasibility of using event-related fields (ERFs) to study brain activity during natural speech perception. The researchers showed that this approach can be applied not only to individual words but also to continuous speech. Their findings indicate that words whose meanings differ significantly from the preceding context require longer processing times. The study also reveals that the brain processes function words in two stages: first, it identifies their grammatical role and then uses this information to predict the next word. The study has been published in Frontiers in Human Neuroscience.

August 25, 2026

Scientists Develop Algorithm for More Reliable Processors in Data Centres

Researchers from HSE MIEM and Samara University have developed the LRF-3D algorithm to automatically bypass idle nodes in three-dimensional networks-on-chip. Thanks to its hierarchical architecture, the algorithm outperforms existing solutions in both speed and path accuracy, improving processor reliability for use in data centres, supercomputers, and AI computing. The source code and test results are publicly available.

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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

Full text

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