Logical Pluralism and Algebraic Systems

V. L. Vasyukov

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July 8, 2026

HSE Researchers Discover Who Eats Out in Russia-And Why

Around one-third of Russians (31.3%) rarely eat out or buy ready-made meals. The core group of active consumers—those who eat out or purchase prepared food almost every day or several times a week—accounts for only about 9% of the population. These are the findings of a study conducted by the HSE Institute for Social Policy. According to the researchers eating out is no longer a marker of high social status in Russia.

July 8, 2026

HSE University and RREDA Join Forces to Support 2026 Renewable Energy of the Planet Competition

HSE University and the Russia Renewable Energy Development Association (RREDA) have signed a partnership and information cooperation agreement to support Renewable Energy of the Planet—2026, a national competition with international participation for students and early-career researchers. Applications are open on the competition's website until September 20, 2026.

July 6, 2026

Ancient Craniiform Brachiopod: A Newly Discovered Species with a Unique Shell Shape and Lifestyle

Scientists from HSE University, MSU, and Tallinn University of Technology have studied a fossil species of ancient brachiopods that lived in a warm sea in what is now northern Estonia more than 445 million years ago. These ancient brachiopods developed a cup-shaped shell with a protective 'cap' that shielded them from overgrowth by other marine organisms. The study has been published in Palaeogeography, Palaeoclimatology, Palaeoecology.

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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