Logical Pluralism and Algebraic Systems

V. L. Vasyukov

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June 25, 2026

HSE Researchers Make Aldehydes Perform Dual Function

Chemists from HSE University have discovered a way to carry out a reductive addition reaction without using an external reducing agent. Instead, the required 'resource' is supplied by the aldehyde itself, one of the reaction participants. This approach helps prevent unwanted side reactions, reduces toxicity, and simplifies the production and synthesis of organic molecules, including those used in the manufacture of medicines. The study has been published in Journal of Catalysis.

June 25, 2026

HSE Scientists Explain Why Findings in Autism Research Differ

Researchers from the Cognitive Health and Intelligence Centre at HSE University conducted the first-ever systematic review of studies on the specifics of emotion-from-motion perception in autism. The review showed that differences found between autistic and non-autistic individuals are largely associated with the experimental design and the types of tasks given to study participants. The review findings have been published in Research in Autism.

June 22, 2026

‘In Science, You Are Your Own Boss

Polina Nasledskova is interested in identifying gaps in linguistics and topics that have been overlooked by other researchers. In an interview for the Young Scientists of HSE University project, she spoke about rare ordinal numerals in Nakh-Daghestanian languages, the benefits of knitting for concentration, and the beauty of the Patriarshy Bridge.

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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