Logical Pluralism and Algebraic Systems

V. L. Vasyukov

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October 1, 2026

HSE Researchers Show How Congenital Motor Disorders Affect Brain Development

Researchers from HSE University’s Institute for Cognitive Neuroscience have synthesised the findings of their previous studies on brain development in children with obstetric brachial plexus palsy and arthrogryposis. Their analysis shows that impaired motor function in early childhood not only limits children’s motor experience but also affects memory, categorical thinking, and information processing. The study has been published in Frontiers in Psychology.

October 1, 2026

Window into the Body: Scientists Develop Neural Network to Detect Risk of 15 Diseases from Retinal Images

Russian universities, with the participation of HSE University, Sber, and Z-union, have developed a neural network that can simultaneously assess the risk of 15 types of pathology from retinal photographs, including not only eye diseases but also cardiovascular conditions. The AI system can help clinicians detect potentially concerning changes at an early stage, identify signs reflecting the condition of retinal blood vessels, and determine whether a patient may need further examination. The paper has been published in Frontiers in Medicine.

September 30, 2026

'We Did Not Limit the Time for Questions'

The International Laboratory for Supercomputer Atomistic Modelling and Multi-Scale Analysis at HSE University held a major conference on molecular dynamics. Participants had the opportunity to attend all the presentations, while speakers were given as much time as they needed to answer questions. The HSE News Service interviewed Grigory Smirnov, Head of the Laboratory, and Genri Norman, Chief Research Fellow, about the conference preparations and the discussions it generated.

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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