This work describes a mathematical concept of modelling field theory and its applications to a variety of problems, while offering a view of the relationships among mathematics, computational concepts in neural networks, semiotics, and concepts of mind in psychology and philosophy.

Abstract.There is ample evidence that humans (and other primates) possess a knowledge instinct—a biologically driven impulse to make coherent sense of the world at the highest level possible. Yet behavioral decision‐making data suggest a contrary biological drive to minimize cognitive effort by solving problems using simplifying heuristics. Individuals differ, and the same person varies over time, in the strength of the knowledge instinct. Neuroimaging studies suggest which brain regions might mediate the balance between knowledge expansion and heuristic simplification. One region (...) implicated in primary emotional experience is more activated in individuals who use primitive heuristics, whereas two areas of the cortex are more activated in individuals with a strong knowledge drive: one region implicated in detecting risk or conflict and another implicated in generating creative ideas. Knowledge maximization and effort minimization are both evolutionary adaptations, and both are valuable in different contexts. Effort minimization helps us make minor and routine decisions efficiently, whereas knowledge maximization connects us to the beautiful, to the sublime, and to our highest aspirations. We relate the opposition between the knowledge instinct and heuristics to the biblical story of the fall, and argue that the causal scientific worldview is mathematically equivalent to teleological arguments from final causes. Elements of a scientific program are formulated to address unresolved issues. (shrink)

There is ample evidence that humans (and other primates) possess a knowledge instinct—a biologically driven impulse to make coherent sense of the world at the highest level possible. Yet behavioral decision-making data suggest a contrary biological drive to minimize cognitive effort by solving problems using simplifying heuristics. Individuals differ, and the same person varies over time, in the strength of the knowledge instinct. Neuroimaging studies suggest which brain regions might mediate the balance between knowledge expansion and heuristic simplification. One region (...) implicated in primary emotional experience is more activated in individuals who use primitive heuristics, whereas two areas of the cortex are more activated in individuals with a strong knowledge drive: one region implicated in detecting risk or conflict and another implicated in generating creative ideas. Knowledge maximization and effort minimization are both evolutionary adaptations, and both are valuable in different contexts. Effort minimization helps us make minor and routine decisions efficiently, whereas knowledge maximization connects us to the beautiful, to the sublime, and to our highest aspirations. We relate the opposition between the knowledge instinct and heuristics to the biblical story of the fall, and argue that the causal scientific worldview is mathematically equivalent to teleological arguments from final causes. Elements of a scientific program are formulated to address unresolved issues. (shrink)

Have Morsella et al. examined the fundamentals of consciousness? An experiment by Bar et al. (2006) has demonstrated the fundamental aspects of conscious and unconscious mechanisms of perception. The mental representations are not crisp and conscious like the perceived objects are, but vague and unconscious. This experiment points to the fundamental function of the neural mechanisms of consciousness in perception. Consciousness is also fundamental for the highest emotions.

Freedom of will is fundamental to morality, intuition of self, and normal functioning of society. However, science does not provide a clear logical foundation for this idea. This paper considers the fundamental argument against free will, so called reductionism, and why the choice for dualism against monism, follows logically. Then, the paper summarizes unexpected conclusions from recent discoveries in cognitive science. Classical logic turns out not to be a fundamental mechanism of the mind. It is replaced by dynamic logic. Mathematical (...) and experimental evidence are considered conceptually. Dynamic logic counters logical arguments for reductionism. Contemporary science of mind is not reducible; free will can be scientifically accepted along with scientific monism. (shrink)

Logic is a fundamental reason why computational accounts of the mind have failed. Combinatorial complexity preventing computational accounts is equivalent to the Gödelian incompleteness of logic. The mind is not logical, but only logical states and processes in the mind are accessible to subjective consciousness. For this reason, intuitions of psychologists, cognitive scientists, and mathematicians modeling the mind are biased toward logic. This is also true about the changes proposed inAfter Phrenology.

The target article by Lindquist et al. considers discrete emotions. This commentary argues that these are but a minor part of human emotional abilities, unifying us with animals. Uniquely human emotions are aesthetic emotions related to the need for the knowledge of “high” cognition, including emotions of the beautiful, cognitive dissonances, and musical emotions. This commentary touches on their cognitive functions and origins.

Modeling a complex phenomena such as the mind presents tremendous computational complexity challenges. Modeling field theory (MFT) addresses these challenges in a non-traditional way. The main idea behind MFT is to match levels of uncertainty of the model (also, a problem or some theory) with levels of uncertainty of the evaluation criterion used to identify that model. When a model becomes more certain, then the evaluation criterion is adjusted dynamically to match that change to the model. This process is called (...) the Dynamic Logic of Phenomena (DLP) for model construction and it mimics processes of the mind and natural evolution. This paper provides a formal description of DLP by specifying its syntax, semantics, and reasoning system. We also outline links between DLP and other logical approaches. Computational complexity issues that motivate this work are presented using an example of polynomial models. (shrink)

Modelling a complex phenomenon such as the mind presents tremendous computational complexity challenges. Modelling field theory addresses these challenges in a non-traditional way. The main idea behind MFT is to match levels of uncertainty of the model with levels of uncertainty of the evaluation criterion used to identify that model. When a model becomes more certain, then the evaluation criterion is adjusted dynamically to match that change to the model. This process is called the Dynamic Logic of Phenomena for model (...) construction and it mimics processes of the mind and natural evolution. This paper provides a formal description of DLP by specifying its syntax, semantics, and reasoning system. We also outline links between DLP and other logical approaches. Computational complexity issues that motivate this work are presented using an example of polynomial models. (shrink)

The discrepancy between syntax and semantics is a painstaking issue that hinders a better comprehension of the underlying neuronal processes in the human brain. In order to tackle the issue, we at first describe a striking correlation between Wittgenstein's Tractatus, that assesses the syntactic relationships between language and world, and Perlovsky's joint language-cognitive computational model, that assesses the semantic relationships between emotions and “knowledge instinct”. Once established a correlation between a purely logical approach to the language and computable psychological (...) activities, we aim to find the neural correlates of syntax and semantics in the human brain. Starting from topological arguments, we suggest that the semantic properties of a proposition are processed in higher brain's functional dimensions than the syntactic ones. In a fully reversible process, the syntactic elements embedded in Broca's area project into multiple scattered semantic cortical zones. The presence of higher functional dimensions gives rise to the increase in informational content that takes place in semantic expressions. Therefore, diverse features of human language and cognitive world can be assessed in terms of both the logic armor described by the Tractatus, and the neurocomputational techniques at hand. One of our motivations is to build a neuro-computational framework able to provide a feasible explanation for brain's semantic processing, in preparation for novel computers with nodes built into higher dimensions. (shrink)

This paper discusses continuity between ancient Pythagoreanism and the pseudo-Pythagorean writings, which began to appear after the end of the Pythagorean school ca. 350 BC. Relying on a combination of temporal, formal and substantial criteria, I divide Pseudopythagorica into three categories: 1) early Hellenistic writings ascribed to Pythagoras and his family members; 2) philosophical treatises written mostly, yet not exclusively, in pseudo-Doric from the turn of the first century BC under the names of real or fictional Pythagoreans; 3) writings attributed (...) to Pythagoras and his relatives that continued to appear in the late Hellenistic and Imperial periods. I will argue that all three categories of pseudepigrapha contain astonishingly little that is authentically Pythagorean. (shrink)

Interview of Vlada Davidenko, Ryenat Shvets, Sofia Bryl with Leonid Finberg.

В прил.: Простые математические модели динамики коллективной деятельности / Л. Е. Попов, М. И. Слободской. Мозг и обучение / Б. И. Вершинин.

B a c k g r o u nd. The article focuses on the study of modern adaptations and modifications of Marxist principles in the context of the practice of the Chinese Communist Party (CCP). Focusing on the process of modernization, the article explores how Marxism developed and adapted to China's unique socio-political and economic landscape. Through an in-depth analysis of the CCP's policy and ideological changes, the article sheds light on the distinctive features characterizing the modernization of Marxism in (...) the Chinese context. The study covers not only theoretical aspects but also practical aspects, providing a refined understanding of the specifics of the relationship between Marxist ideology and the dynamic realities of Chinese governance. M e t h o d s. The article uses an in-depth analysis of the politics, ideological changes, and practical aspects of the CCP. The research is based on an analysis of primary sources, including official documents, political speeches and ideological narratives. R e s u l t s. The authors found that the ideology of the CCP is based on Marxism, but adapted to the unique historical context of China, often framed in the concept of "socialism with Chinese characteristics". This adaptation reflects the CCP's recognition of China's special conditions, cultural heritage, and development needs. At its core, Marxism provides the theoretical foundation for the ideology of the CCP, emphasizing class struggle, historical materialism, and the ultimate goal of achieving a classless communist society. However, the CCP recognizes that the application of Marxist principles must take into account the specific realities of China, distinguishing its path from the classical Marxist trajectory. C o n c l u s i o n s. The study highlights that the CCP recognizes the importance of adapting Marxist principles to the specific conditions of China. Acceptance of the concept of "socialism with Chinese characteristics" defines a pragmatic approach to the integration of Marxist ideology with the conditions of the country, taking into account its path of economic development and modernization. (shrink)

Following the design of the author, reforms of the UN would consist of four rules. The first rule: Payments from the global community should correspond with the services provided by the UN. - For this purpose it is necessary to develop a system of compensation in which payment would be made only for the completion of a concrete service. Such a system would in effect serve as a continuous audit and guarantor of quality service at all times visible to the (...) entire public. The second rule: Servantura not dictatorship - The author has created a word "servantura" and has given it the following meaning: the performance of administrative service, guided by (1) ethical conduct, (2) democratic norms, (3) the newest scientific knowledge, (5) safe technology, (6) justice, (7) equality of people and (8) the priority of human life. On an idea of the author, servantura is a global managerial philosophy with a system of global service in which each decision should be in accordance with the wishes and the will of the entire global community, not of a separate group of nations, or a single nation, or person. The third rule: Noncommercial services. Commercialization of the UN should be considered a crime. Further commercial use of the UN should be stopped, as it will lead to aglobal catastrophe. The fourth rule: Without enemies or competitors, Full transparency and a strict prohibition of secrecy and privacy in the UN must be established. i.e. openness, publicity and a strict international prohibition on any secret structures or secret activities within the UN. (shrink)

Along with competing legal concepts of positivism and gnoseologism in the second half of the 19th century, a direction of legal psychology was formed, within which the psychological theory of law by the Russian and Polish lawyer L.I. Petrazhitsky takes a prominent place. L.I. Petrazhitsky's legal theory interprets the law as a mental phenomenon in a person's mind. The mental life forms the internal and external legal behavior. Studying the law becomes possible only by analyzing the subject's particular kind of (...) emotional life - legal experience. Our focus on the individual's emotional world gives us reason to think of the theory as individualistic, i.e., close to the subject's mental life. At the same time, the Russian lawyer's psychological doctrine also gains explanatory potential for scrutinizing social life. It contains ideas that reveal such mechanisms of social functioning as the affirmation of the ideal of love as the ultimate goal of law-making, the priority of unofficial law in the life of society, and a specific interpretation of public and private law. The system of legal emotions is carried out on the social niveau and establishes such values as love and social order. The article reconstructs the main provisions of Petrazhitsky's psychological theory of law from the point of view of the interaction of its individual and social sides. The social potential of the Russian lawyer's theory appears capable of supplementing and explaining the ideas of socialism and sobornost discussed widely at the turn of the 19th and 20th centuries. Petrazhitsky's individualistic doctrine appears as a flexible concept, capable of fitting organically into various philosophical and sociological contexts. (shrink)

O dvizhenii istorii v budushchee -- Strannai︠a︡ "ti︠u︡rʹma" istoricheskoĭ neobkhodimosti -- Istoricheskai︠a︡ novizna poni︠a︡tiĭ "individualʹnostʹ" i "lichnostʹ" -- Ob avtobiografizme -- Statʹ Evropoĭ.

Moderate invariantism is the orthodox semantics for knowledge attributions. In recent years it has fallen out of favour, in large part because it fails to explain why ordinary speakers have the intuition that some utterances of knowledge attributions are felicitous and others infelicitous in several types of cases. To address this issue moderate invariantists have developed a variety of what I call non-semantic theories which they claim account for the relevant felicity intuitions independently of moderate invariantist semantics. Some critics have (...) responded by arguing that these non-semantic theories are implausible for one or more of the following reasons: they do not have a basis in empirical data or established theory; they do not account for all of the relevant felicity intuitions; they are ad hoc; or they in fact explain too many felicity intuitions and thus undermine the... (shrink)

John Greco has recently raised two worries for epistemic contextualism, viz it deprives epistemology of its subject matter and renders objective knowledge impossible. He argues that these problems are not restricted to contextualism, but apply to rival theories, like subject sensitive invariantism, and that they are overstated. I develop Greco's worries, which show that contextualism suggests either that there is no such thing as knowledge, or a weird view of knowledge: as disparately varied and undisciplined, individual-dependent and arbitrary. I then (...) argue that these issues are not overstated and that they can be avoided if one opts for moderate insensitive invariantism. (shrink)