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Potoses: Categorical Paraconsistent Universum for Paraconsistent Logic and Mathematic
Logical Investigations. 2017. Vol. 23. No. 2. P. 76–95.
Vasyukov V. L.
It is well-known that the concept of da Costa algebra [3] reects most of the logical properties of paraconsistent propositional calculi Cn, 1< n <w introduced by N.C.A.da Costa. In [10] the construction of topos of functors from a small category to the category of sets was proposed which allows to yield the categorical semantics for da Costa's paraconsistent logic. Another categorical semantics for Cn would be obtained by introducing the concept of potos { the categorical counterpart of da Costa algebra (the name \potos" is borrowed from W.Carnielli's story of the idea of such kind of categories)
Bernardin C., Chhaibi R., Najnudel J. et al., Probability Theory and Related Fields 2026 Vol. 195 P. 1823–1875
We study the celebrated Shiryaev-Wonham filter (Wonham, W.M., in J. Soc. Ind. Appl. Math. 347–369, 1964) in its historical setup, where the hidden Markov jump process has two states. We are interested in the weak noise regime for the observation equation. Interestingly, this becomes a strong noise regime for the filtering equations. Earlier results of ...
Added: October 5, 2026
Ismailov A., Spiridonov V., Успехи математических наук 2026 Т. 81 № 5 С. 183–184
Получена новая формула для цепной дроби Аски–Вильсона в форме отношения двух q-гипер-геометрических рядов. ...
Added: October 5, 2026
Новиков Д. А., ЖУРНАЛ МИНИСТЕРСТВА НАРОДНОГО ПРОСВЕЩЕНИЯ (Словакия) 2023 № 10 С. 32–40
The article provides a critical analysis of the theory of the precariat as a "new dangerous class" from the standpoint of law science, namely the sectoral areas of labor and criminal law. The author argues that the precariat does not constitute a new socio-economic class. The author is convinced that the theory of the precariat, ...
Added: October 5, 2026
Abdulkhaev K., Shirokov D., Advances in Applied Clifford Algebras 2026 Vol. 36 P. 1–21
In this paper, we present explicit formulas for the inverse and determinant in geometric (Clifford) algebras over vector spaces of dimension n = 7. The derivation of these formulas is made possible by generalizing the concept of conjugation to basis conjugation operations. We further develop a general method for constructing such formulas over odd-dimensional spaces ...
Added: October 4, 2026
Вебер М., Социологическое обозрение 2026 Т. 25 № 3 С. 318–353
In the concluding part of the Second Anti-Critique (1910), Max Weber summarizes the substantive
findings of his own contributions to the debate with the historian Felix Rachfahl. In doing so, he uses the response to his relentless critic as an opportunity to articulate once again, in an explicit manner and for both his own benefit and that of the ...
Added: October 4, 2026
Aliev R. T., Якушенкова О. С., Человек 2026 Т. 37 № 5 С. 176–191
This article addresses the epistemological transformations of knowledge about the Other under platform culture. It examines the shift from the communicative experience of presence to a data regime in which otherness is constituted through predictive classification and interface routing. The platform is conceptualized as a system that presents the subject with an already-categorized Other, thereby ...
Added: October 4, 2026
Kuninets A., IEEE Transactions on Information Theory 2026 P. 1–1
In this work we study the applicability of Quasi-Cyclic Subfield Subcodes of Dual Elliptic (QC-SSDE) codes for integration into code-based cryptographic schemes. Detailed algorithms are provided for constructing parity-check matrices as well as block-circulant parity-check matrices for this family of codes, accompanied by empirical results that enable the construction of QC-SSDE codes with predetermined dimensions. ...
Added: October 3, 2026
Лессинг Т., Silene Noctiflora, 2026.
Теодор Лессинг (1872–1933) — один из самых пессимистичных философов первой половины XX века. Последователь Фридриха Ницше и Артура Шопенгауэра, он пророчил неизбежную гибель западной цивилизации от себя самой. В своём сочинении «Про́клятая культура», написанном на основе речи, читанной в Обществе друзей индийской мудрости в 1921 году, он с особой экспрессией изложил основные положения своего мировоззрения, ...
Added: October 3, 2026
Dezi A., Sesto San Giovanni: Mimesis, 2026.
This book is a metaphysical inquiry into the nature and origin of the manifold. Taking Schelling’s Erlangen lectures of 1820–1821 as its point of departure and hermeneutic horizon, it develops an interpretation of Nomos that transcends its political, juridical, and social determinations. Nomos thereby emerges as the ontological principle of an infinite, variegated multiplicity of ...
Added: October 2, 2026
Medvedev G., Alexandrov Artem, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 Article 044102
Graphons are measurable functions used to describe the asymptotic behavior of convergent graph families. Originally motivated by problems in combinatorics and graph theory, graphons have found numerous applications in the modeling and analysis of dynamical processes on networks. In this work, we use graphons to formulate the Ising model on convergent graph sequences, which include ...
Added: October 2, 2026
Pochinka O., Baranov D., Nozdrinova E., Теоретическая и математическая физика 2026 Т. 229 № 1 С. 3–14
The Birman–Williams problem on describing the planetary link of a fibered knot K in S^3 has been partially solved. Using Nielsen's theory for the classification of periodic surface homeomorphisms and its close relationship with the theory of gradient-like diffeomorphisms, it is proved that the planetary link of the trefoil (the unique periodic fibered knot of genus ...
Added: October 2, 2026
Lubashevsky I., Lubashevskiy V., Physica D: Nonlinear Phenomena 2026 Vol. 498 Article 135441
We develop a novel cloud-function formalism describing the dynamical relationship between sensory-information processing in large-scale brain networks (supraliminal processing) and the content of the mental representation of an observed object. The formalism combines elements of neural field theory for large-scale neural activity with the spatial characteristics of perceived objects and their embedding in the environment ...
Added: October 2, 2026
Zlotnik A., Математические заметки 2026 Т. 120 № 6 С. 1005–1009
Численным методам решения систем газодинамических уравнений посвящена обширная литература. Ранее было разработано и успешно апробировано специальное семейство симметричных по пространству консервативных разностных методов, основанных на предварительной кинетической, точнее, квазигазодинамической (КГД), регуляризации этих уравнений. Актуальной задачей является построение численных методов, которые обладают не только свойством консервативности по массе, импульсу и полной энергии, но и удовлетворяют условиям энтропийной ...
Added: October 1, 2026
Vyugin I. V., Sashadhar D., Algebra and Number Theory 2026 P. 1–10
We study the K-Fibonacci sequence Fp modulo prime p. Cardinalities of sets |Fp+Fp| and |Fp⋅Fp| are estimated. We present the method of estimating doubling constant of some m-dimensional recurrent sets in Fp. ...
Added: October 1, 2026
Kuksin S., Dynamical Systems 2026
We study the mixing properties of discrete-time and continuous-time dissipative dynamical systems driven by bounded mixing random forces. The continuous-time systems are
reduced to discrete-time random dynamical systems generated by time-one maps, so that
the main analysis is carried out in the discrete setting. We introduce a class of mixing random forcings whose regular conditional distributions with ...
Added: October 1, 2026
Kuksin S., Shirikyan A., Journal of Dynamics and Differential Equations 2026 P. 1098–1100
The paper deals with the problem of large-time behaviour of trajectories for discrete-time dynamical systems driven by a random noise. Assuming that the phase space is finite-dimensional and compact, and the noise is a Markov process with a transition probability satisfying some regularity hypotheses, we prove that all the trajectories converge to a unique measure ...
Added: October 1, 2026
Potanin B., Dolgikh S., Statistics and Probability Letters 2027 Article 110984
We derive bounds on the gradient and Hessian of the log-CDF, ln F(x), of the multivariate normal distribution. These bounds scale linearly and quadratically in ‖x‖ , respectively, with constants depending only on the covariance matrix. We demonstrate the usefulness of these bounds by proving asymptotic normality of the maximum-likelihood estimator of the multivariate probit ...
Added: October 1, 2026
A. V. Pereskokov, Journal of Mathematical Sciences 2026 Vol. 302 No. 4 P. 531–545
We consider the Zeeman effect problem for the hydrogen atom in a magnetic field using
irreducible representations of the Karasev–Novikova algebra with quadratic commutation
relations. We find the asymptotics of a series of eigenvalues and the corresponding
asymptotic eigenfunctions near the upper boundaries of spectral clusters. ...
Added: October 1, 2026
Denisova V., Petrović N., Journal of Rational - Emotive and Cognitive - Behavior Therapy 2026 Vol. 44 No. 35 Article 35
Cognitive distortions are routinely described in cognitive-behavioral (CBT) and rational-emotive behavior (REBT) therapies as “errors in logic” or “illogical thinking.” While this terminology is pedagogically convenient, it often obscures a crucial conceptual distinction between violations of logical inference and problems related to the justification, scope, or evaluative force of belief content. In this paper, we do not ...
Added: July 15, 2026
Speranski S. O., Logic and Logical Philosophy 2016 Vol. 25 No. 1 P. 3–33
Let K be the least normal modal logic and BK its Belnapian version, which enriches K with ‘strong negation’. We carry out a systematic study of the lattice of logics containing BK based on:
introducing the classes (or rather sublattices) of so-called explosive, complete and classical Belnapian modal logics;
assigning to every normal modal logic three special ...
Added: December 27, 2025
Karpenko I., Логические исследования 2023 Т. 29 № 1 С. 9–29
The article questions some of the classical principles of thinking based on traditional intellectual intuition. In particular, the intuitive acceptability of the requirement of consistency, of the “anything follows from a contradiction” principle, of the law of the excluded middle, and some others are under challenge. The literature, especially logical one, devotes many studies to ...
Added: September 19, 2023
A Freedom beyond Conflict: The Logic of Internal Conflict and the Free Will in Maximus the Confessor
Lourié B., Scrinium: Journal of Patrology and Critical Hagiography 2018 Vol. 14 No. 1 P. 63–74
SummaryMaximus’ idea of appropriation of the divine will by deified humans, in any consistent interpretation, would mean their deprivation of their own freedom – exactly in the same manner as it could be in the case of servitude to sin. Maximus’ own logic, however, was paraconsistent when applied to the case of deification (whereas not ...
Added: October 8, 2018
Markin V., Springer, 2017.
This volume offers a wide range of both reconstructions of Nikolai Vasiliev’s original logical ideas and their implementations in the modern logic and philosophy. A collection of works put together through the international workshop "Nikolai Vasiliev’s Logical Legacy and the Modern Logic," this book also covers foundations of logic in the light of Vasiliev’s contradictory ...
Added: June 29, 2018