This paper argues that values if they are sheering through collective discussion and communicative-pragmatic justification have been proved to be a capital of society which forms the foundation and horizon for its sustainable development. The concept of personal axiological competence as an ability to produce and interiorize share values on the basis of their critical reflection, critical selection and integration has been developed by taking into account the specifics of the world of values in the context of globalization. A role (...) of higher education and dialogic education in its formation has been characterized. (shrink)

Ambiguous interpretation of the concept of gender equality has caused problems in understanding and legal support of the concept of gender. This and the global democratic process contribute to the relevance of the issue and generate the need for its thorough study. The article aims to define the essence of the concept “gender,” analyze the legal support of gender policy, and develop proposals for its improvement in Ukraine. In the study, we applied theoretical (analysis, synthesis, generalization, systematization) and empirical (observation) (...) methods. The article also uses methods of statistical and comparative analysis, extrapolation, dialectical method, etc. We analyzed the content of gender policy and its consequences and identified the features of its legal support and impact on society. To replace the concepts of gender, gender equality, and its derivatives with “equality of rights of men and women” proved expedient. Proposals for improving the legal support of gender policy in Ukraine were developed. The article has a multidisciplinary nature and will appeal to a broad readership from lawyers to psychologists to raise awareness and competence in this area. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Full Collection of Personal NarrativesZohar Lederman, Ola Ziara, Rachel Coghlan, Oksana Sulaieva, Anna Shcherbakova, Oleksandr Dudin, Vladyslava Kachkovska, Iryna Dudchenko, Anna Kovchun, Lyudmyla Prystupa, Yuliya Nogovitsyna, Ghaiath Hussein, Kathryn Fausch, P. P. Kyaw, Ayesha Ahmad, Richard W Sams II, Handreen Mohammed Saeed, Artem Riga, Ryan C. Maves, Elizabeth Dotsenko, Irina Deyneka, Eva V. Regel, and Vita Voloshchuk• An Unsettling Affair• How We Keep Caring While Walking Through Our (...) Pain• Adjusting Laboratory Practices to the Challenges of Wartime• Why We Stay• A Semi-Personal Story from a Ukrainian NGO Professional (or a Semi-Professional Story from a Ukrainian Person) Living through the War• When Ethics Survives Where People Do Not: A Story From Darfur• Burma’s Healthcare Under Fire: My Experience as an Exiled Medical Professional• When a Conflict Collapses on a Child: An (Aborted) Medical Evacuation of a Hazara Toddler During the Kabul Airport Blast and the Taliban Takeover• The Vagaries and Vicissitudes of War• Providing Care to a Potential Aggressor: An Ethical Dilemma• One Surgeon’s Experience During Armed Conflict in Ukraine• The Limits of Our Obligations• A Liberating Breath• Soldiers of the Invisible Front: How Ukrainian Therapists Are Fighting for the Mental Health of the Nation Under Fire• Stories of Families with Chronically Ill Pediatric Patients during the War in UkraineCopyright © 2023 Johns Hopkins University Press... (shrink)

The relevance of the study of anthropogenic impact on nature, man, society is relevant enough, because the negative externalities of an integrated global economy are damaging to the environment and vulnerable segments of the population, who are least adapted to paying tribute to progress. Being at the crossroads shows that we are responsible for what is happening with nature, man, society and the actual challenges of destroying the planet will grow, which requires the formation of a new way of thinking, (...) based on the world in accordance with human values, preservation of the natural landscape, climate. Analysis of recent research and publications. At the heart of the study is the analysis of the works of Ernst Ulrich von Weizseker, Anders Wykman “Come On! Capitalism, shortsightedness, population and the destruction of the planet. "Report to the Roman Club"; Naomi Klein “Everything changes. Climate capitalism ”; Maxton Graham, Randers Jørgensen “In Search of Welfare. Managing Economic Development to Reduce Unemployment, Inequality and Climate Change ”; Meadows Donnelly, Meadows Dennis, Rangers Jørgensen "Growth Limits. 30 years later ”; Klaus Schwab's Fourth Industrial Revolution, Forming the Fourth Industrial Revolution; Joe Stadwell's "Why Asia has Succeeded." The article analyzes the works of domestic authors - V. Voronkova, V. Melnyk, N. Metelenko, V. Nikitenko, A. Cherep and others. The author draws on her own abstracts of the conference "Limits of Growth" as a response to anthropogenic impact on man, nature, society and a means of achieving sustainability. Setting objectives. Anthropogenic harmful climatic factors supplant natural vegetation, impoverish animal worlds, limit the activity of microorganisms. Management of anthropogenic impacts can be carried out by limiting them: by establishing maximum permissible loads, different standards of introduction of scientifically grounded regimes of natural resources of international cooperation, scientific substantiation of measures on the nature and ecology of man. The purpose of the article - theoretical and practical aspects of solving the problems of anthropogenic impact on nature, man, society and achievement of sustainable development. Research results. Growth limits have been shown to have anthropogenic impact on humans, nature and society as a result of human intervention in ecosystems. As a result, ecosystem simplification and the breaking of biological cycles result. The concept of sustainable development of mankind is the solution of global problems of mankind, among them the solution of the problems of anthropogenic impact on nature, man, society. The research is aimed at solving the problems of anthropogenic impact on nature, man, society and achieving sustainable development of civilization. (shrink)

The need for the axiological determinants of cognition of law to be theoretically justified as a constituent of legal progress that includes the humanization of law makes the problem under the study relevant. The purpose of this article is to distinguish the value determinants of cognition of law. The main methodological approaches used in the study are axiological and anthropological approaches, which allow us to consider law as a valuable constituent of human life, inextricably linked with the human personality. The (...) article reveals that the modern understanding of the term “law” is characterized by axiological and anthropological approaches to its cognition; founds out that the human legal value has an integral-synthesizing character to all other values and, as a result, is embodied in the absolute legal value and inherent worth; establishes that the human dimension of law has become the result and, at the same time, the source of value-legal human understanding, which indicates the value of law and its axiological characteristics. (shrink)

The authors of the article explore the concepts ‘agricultural biographics’ and ‘agricultural biographistics’, proposing an interpretation of the terms. ‘Agricultural biographistics’ is defined as a full palette of portraits of agricultural scientists, sectoral bibliographical and biobibliographical reference publications, and the creation of electronic resources of biographical information about eminent figures in the field of agriculture. ‘Agricultural biographics’ is a distinct branch of historiography focusing on biographical research about agricultural scientists, and the theoretical and methodological foundations of biographical research of agricultural (...) scientists. The article analyses the achievements in scientific bibliographical research of the Department of Biographistics at the Institute of History of Agrarian Science, Education and Technology of the National Scientific Agricultural Library of the National Academy of Agrarian Sciences of Ukraine. The authors argue that much of specifically historical research exists alongside inadequate theoretical studies on its foundations, which, accordingly, calls for the development of some aspects of agricultural biographistics. The article also outlines the theoretical and methodological visions in the biographies of agricultural scholars, considering also the architectonics of the publications, the types/models of biographies, and methodological approaches. (shrink)

Review of Chapter II “Language and philosophy” from Volume V of the European Dictionary of Philosophy (Kyiv: Duh i Litera, 2024).

B a c k g r o u n d. Considering a scientific truth as a process is connected with the understanding a concrete truth as unity of absolute and relative moments of such process. Beginning by Hegel, truth was regarded as linear process with final point of its development. It was absolute truth, as return of absolute idea to itself in absolute spirit by Hegel. It was the third world by Popper as the world of objective truth. Ukrainian philosopher (...) Pavlo Kopnin opened development of truth for future, eliminating from it the final point in his materialistic interpretation of the truth as a process. However, such process was still regarded as linear process. It was natural for the stage of linear science. As I have already wrote (Dobronravova, 2017), modern stage of nonlinear science actualizes the considering of a scientific truth as nonlinear process. In situation of many variants of nonlinear dynamics the understanding of concrete truth needs to be updated. Such updating is the goal of the article. M e t h o d s. Dialectic method in addition to scientific realism is the most natural approach to research the modern nonlinear science. Methodologic conception of genetic constructivism by V. Stepin is foundation to consider the relations between theoretical and empirical levels of nonlinear knowledge. Criticism of correspondent conception of truth in internal realism by H.Putnam is initiative position in looking for right epistemolology of nonlinear science. Concrete truth as nonlinear process means the description of real nonlinear dynamics with knowledge about a choice, made by a self-organizing system between alternatives in bifurcation point. Nonlinear theories reconstruct few options of further development for nonlinear system. To explain a real situation in certain moment of such development means to describe the real choices by system in points of branching the possibilities. It means that nonlinear science becomes historical one that describes irreversible change of events. Methodologically it means the restriction for claim to repeat the results of empirical checking the predictions of theory, because of choice by chance in bifurcation points. This claim can work for nonlinear medium if different options can be realized in it simultaneously (like Benar's cells in layer of heated liquid or different parties in democratic societies). Otherwise things are going in the situations of historical kind, where the irreversible choice between alternatives has place (like historical choice between right-hand and left-hand traffic in different countries). Repetitions in empirical checking the predicted variants are not possible in principle because of random nature of choice in bifurcation points. R e s u l t s. Non-linear physical theories are descriptive, just like biological, geological and geographic theories. So arrogant condemnation of such theories by physicists and philosophers of science who took physics as a sample in many previous years founded on misunderstanding the specificity of different kinds of theories and their objects. Logical structure of explanation and prediction are not the same in non-linear theories. Non-linear theory can predict a set of possibilities but not the realization of certain one in certain moment. Concrete truth can be justified if human intervention provides the realization of special condition to choose selected variant. C o n c l u s i o n s. We have to understand that such task is more complicated, if we take into account the quantitative way to solve the nonlinear equations. The chain of iterations in approximate solution of such equations can rather give computer simulation of non-linear dynamics. Exact prediction with iteration formula of each next step of unfolding non-linear dynamics, does not guarantee the long scale prediction of complex nonlinear system state. It does not mean that knowledge we got about nonlinear phenomena are not useful for human practice. Thus, the change of dimension in fractal structures of "noise" in cardiograms lets to admit the first signs of heart illness and to cure heart in time. Meteorologists can warn pilots about oncoming storm, defining speed of rising flows in atmosphere by fractal dimension of pictures on the screen of radar. Those are the predictions in nonlinear science. Are they the proofs of concrete truth? Perhaps, yes, they are if we recall old formulation about practice as criteria of truth. (shrink)

Actuality of the study is that the rapid development, in particular, of innovative technologies, enables to bring the educational process to a new high level, which will provide a better training of specialists in the field of design, which are necessary for the prosperity of our country. The article explores design artifacts that are differentiated in the cultures of information society. The concept of how the innovative technologies influence on the design of the spatial-object environment is considered. Problems of studying (...) innovative technologies were taught by such scientists as: O.Bazilevsky, V.E. Barysheva, I.S. Rizhova. Problems of studying the design of the spatial-object environment were also carried out by Ukrainian scientists such as S.P. Migal, I.S. Rizhov, V.O. Timokhin, N.M. Shebek, T.V. Malik. Among the Ukrainian researchers, thinking about the existence of the city should be noted T. Voznyak, M.Karpovets, T.Kornienko, M.Prepotenska and others. The realization of this goal requires solving such tasks as outlining different approaches to understanding the phenomenon of space-object environment design; definition of the specificity of innovative technologies in the modern ecological city. Research methods. In theory and practice of research of innovative technologies, methods of structural-system, structural-functional analysis are widely used. Methods of structural-system analysis are used to solve complex problems related to the activities of people in the city, as well as to identify the structure of the city as a dynamic system that promotes self-development of society and personality. Methods of structural-functional analysis are based on the interaction between the structural components of the space-subject environment and their relationship with the functions of the system. The result of the study. In order to solve the problems of the influence of innovative technologies on the design of the spatial-object environment, one should create a concept of the strategy for the development of innovative technologies, aimed at cooperation with leading companies in the industry and the production of domestic analogues in accordance with world standards. Conclusions Innovative technologies as a factor in the development of modern design of the spatial-subject environment represent a synergy of science, technology, cultural development, on the one hand, as well as state, education, creative social entrepreneurship - on the other. That is why innovative technologies represent the basis of intellectual and creative resources aimed at achieving economic and design success, which will represent the socio-cultural progress of society, which will take place thanks to innovative technologies and creativity of designers. The practical significance of the research topic lies in the fact that research designer artifacts that are differentiated in the cultures of the information society. (shrink)

The Methodological seminar was conducted by the scientific journal “Philosophy of Education”. The participants of the seminar were Prof. Panos Eliopoulos, Lyudmyla Gorbunova, Mykhailo Boychenko, Olga Gomilko, Mariia Kultaieva, Volodymyr Kovtunets, Sergiy Kurbatov, Anna Laktionova, Tetiana Matusevych, Natalia Radionova, Iryna Stepanenko, Maya Trynyak and Viktor Zinchenko. On March 30, 2016, a methodological seminar was conducted at the Institute of Higher Education NAES of Ukraine. This seminar was devoted to the discussion of educational problems in the area of mass (...) culture, and relative opportunities for the development of individuality. The report «Mass culture, education and the perspective of individuality» was made by Panos Eliopulos, professor of Peloponnese University, a member of journal’s «Філософія освіти. Philosophy of Education” editorial board. The scientists from the Institute of Higher Education, Institute of Philosophy of the National Academy of Sciences of Ukraine, Taras Shevchenko National University of Kyiv, Skovoroda National Pedagogical University of Kharkiv participated in this event. Designated issues were observed primarily from the point of view of the Frankfurt School representatives, as well as representatives of modern critical philosophy of education and critical pedagogy. It was emphasized that T.Adorno’s ideas and ideas of other Frankfurt School members, which were developed in the middle of the last century, continue to be relevant in current socio-cultural contexts. The technical rationalism which became the rationalism of dominance in the context of technological civilization, could not provide the way toward the liberation of man and the development of his or her individuality. Market society with its instrumental rationality leads to homogenization and standardization of mass culture and as a result, we have a semi-education, leading to destruction of personality and social pathologies. The panelists agreed that semi-education reflects the crisis of ideals of education and training as far as a suspension of human emancipation process. Due to suspension of the creative process of a person formation, replacing it by the processes of stereotyping based on mimetic rationality, culture itself loses creative potential. The process of degradation of education and culture in the semi-education eventually leads to its destruction at theoretical level and the elaboration of the practice of anti-education. Only through returning of the individual and maintaining his or her social importance due to the tools of holistic education it is possible to overcome such stereotyping. For Frankfurt School members, and those who share their ideals, true education in its meta-theoretical sense becomes the important factor, contributing to the emancipation of society and individual. This idea is particularly important in the context of contemporary challenges and threats from instrumentalization of approaches to the process of transformation of the Ukrainian culture and education. (shrink)

The paper reviews anti-Soviet activities of Ivan Hel, a well-known Ukrainian dissident, political prisoner and socio-political figure of the restructuring and independence period of Ukraine. It is pointed out that after returning from long-term confinement he never ceased fighting for restoration of independence of Ukraine and initiated / cofounded a number of informal socio-political organizations which activity was focused on undermining the political system of the Ukrainian Soviet Socialist Republic. It is indicated that the restructuring period set up a new (...) page in I. Hel's political biography as the glasnost and democratization policy resulted in revival of the socio-political life of the UkSSR and allowed to set up a range of informal national-cultural and political organizations which member the Ukrainian dissident was in the second half of the 1980s. Among his closest associates to be mentioned were M. Osadchyi, Igor and Iryna Kalynets, Z. Krasivskyi, V. Chornovil, L, Lukianchenko, Mykhailo and Bogdan Goryn, V. Barladianu et al. It is stated that over the period under research I. Hel cofounded the Ukrainian Helsinki Group - the Ukrainian Helsinki Union, "Memorial", local units of the People's Movement of Ukraine for restructuring, the Ukrainian initiative group for release of prisoners of conscience. Concurrently, I. Hel was an active participant of the so-called 'religious dissidence' - he headed the Ukrainian Catholic Church Protection Committee which activities had an explicit political focus: in addition to the fight for legalization of the Greek Catholic Church in the UkSSR, the organization encouraged dwellers of the region to fight with the imperious regime. A conclusion is made that the peak of I. Hel's socio-political activity fell on the late 1980s - early 1990s. Over that period he was victimized by the Soviet punitive and repressive system for involvement in the so-called 'meeting democracy', participated in elections for the Supreme Council of the UkSSR and the Lviv Regional Council. It is pointed out that I. Hel's political / anti-Soviet activity was aimed at democratization of the existing regime, development of the national patriotic outlook of the local population and breakup of the Soviet Union. (shrink)

In this article, cognitivism is understood as the view that the engine of human (individual and collective) action is the intentional, dispositional, or other mental capacities of the brain or the mind. Cognitivism has been criticized for considering the essence of human action to reside in its alleged source in mental processes at the expense of the social surroundings of the action, criticism that has often been inspired by Ludwig Wittgenstein's later philosophy. This article explores the logical extent of the (...) critique of cognitivism, arguing that by positing collectively shared knowledge of criteria as the engine of human action many such critiques themselves display latent cognitivism. (shrink)

Critically discussing the causal social ontologies presented by Dave Elder-Vass and John Searle, the article argues that these views implausibly identify the causal ontological source of human sociality in collectively known, recognized and accepted statuses, criteria, norms and the like. This is implausible, for it ignores human sociality as occurring in temporally and spatially dispersed on-going processes of human interaction of differently placed, often unequal, and thus epistemically differently equipped actors in division of labour. Human scientific concepts are best seen (...) as picking out (aspects of) such complex and heterogeneous processes, not what the participating actors allegedly collectively know, accept or recognize about them. The article observes that similar appeals to collective recognition are also common in Wittgensteinian literature that, however, have claimed to reject the causal ontological view. It is argued that the ultimate value in rejecting the causal ontological view, and the accompanying idea of collective recognition, resides in that we thereby avoid epistemically homogenizing and over-intellectualizing the diverse mass of dispersed, often unequal, but interacting actors. (shrink)

The study of orders as a product of spiritual creativity has its long and rich history. In addition to ethnographers, religious scholars, psychologists, philosophers, as well as scientists who carried out their research on the brink of several sciences - M. Bachtin, J. Frezer, K. Levy Briul, worked on their analysis. The orders helped find the keys to the style of thinking of primitive tribes, the peculiarities of their worldview, language, remedies, regulation of social relations.

The institution of the principle of distribution in accordance with work performed in the process of the building of socialism and the consistent implementation of this principle under the conditions of developed socialism are powerful factors in the establishment and consistent implementation of the principle of the universality of work. In the course of the building of communism, payment in accordance with work done will remain the principal source of growth of incomes. Therefore, the completeness of satisfaction of people's requirements (...) and their prosperity depend predominantly on the amount and quality of the work given to society. However, a high level of communist consciousness presumes not merely participation in social labor but a perceived need to work as efficiently and productively as possible. (shrink)

The article explored the fact that various bioethical principles underlie the evaluation of the patient’s status and role in therapeutic interactions in written medical documents. We have found that characterization of biomedical, social and behavioural aspects of the patient’s existence relies on such bioethical principles as obligation, truthfulness, respect for human rights and dignity, the patient’s good. A few facts of the violation of the principle of respect for human rights and dignity consisting in verbal stigmatization have been provided. Bioethical (...) perspective is also taken to evaluate the mode and extent of the patient’s involvement in a medical interaction, which are either negatively or positively assessed based on the patient’s compliance and good. (shrink)

In a range of human sciences, the human relationship to nature has often been viewed as driven fundamentally by religious, philosophical, political, and scientific ideas as well as values and norms about nature. As others have argued before, the emphasis on ideas and values faces serious problems in heeding the structural, socioeconomic quality of the human relationship to nature and thereby the deeply problematic structural character of the human environmental burden. At the same time, alleviating the structural environmental burden generated (...) by global industrial market society represents arguably the single most challenging task in addressing environmental problems. Critically explicating the tendency of our intellectual culture to produce ideological and psychologistic explanations of human ecologically consequential action, and human action more generally, can clarify the notion of the cultural causes of environmental problems and the character of the human collective causing them. Only a structuralist point of view can accommodate the diversity of our positions and perspectives toward nature in the global context in which environmental problems are caused. (shrink)

The article analyzes distance learning and educational processes, such as education, pedagogical technologies, methods and upbringing in the context of globalization trends in the postmodern world. The new technologies, which have prompted and eventually led to globalization processes, indicate the need to master these new technologies since teaching today requires one to apply one’s professional results efficiently. The trend of education is globalization, which seems inevitable under a dramatically changing educational reality. Global education is defined as one of the areas (...) in the development of current pedagogical theory and practice. It aims to prepare learners for professional activities in a changing and increasingly interdependent world. Indeed, globalization lies in implementing and using internet technologies in education. Recognizing the multiplicity of meanings and views, the postmodern society is entering a state of crisis. It is because the Covid-19 pandemic and, consequently, new living conditions associated with it, require a new worldview. In this regard, education reforms are becoming a priority, given that the 21st century is the age of information and nanotechnologies. Information technology is a prerequisite for teacher training today. At the same time, informatization of education is impossible without creating, using and developing informational and educational environments, which in turn should enable the realization of an intellectually developed individual embodying the necessary professional qualities. (shrink)

The article presents a new view on the problem of educating the spiritual security of the personality from the positions of axiological, culturological, civilizational, systemic, and anthropological approaches, on which the research methodology is based. The article describes the basic concepts of research: spirituality, culture, spiritual awakening, spiritual security, and presents the author’s definition of the concept of spiritual security of the personality. The article describes the cultural ideals of coziness in different countries of the world, which allowed us to (...) highlight the features and prove the importance of leading a spiritual way of life, the essence of which is a person’s acquiring of a state of inner peace, coziness, security and which is accompanied by the achievement of pleasure from life. The principles of educating the spiritual security of the personality have been defined. They include the principle of spiritualization, the principle of cooperation, the principle of “live” dialogue based on spiritual and cultural values. The authors have identified the main threats to the spiritual security of the personality and described the ways to overcome them, among which special attention is paid to the importance of reviving the spiritual and cultural educational component, which will be the first step towards educating a positive personality with a human face, the humane, altruistic, creative personality focused on creation, not destruction. (shrink)

(1990). Ethology, power, possession: A system theoretical study of the Hungarian transition. World Futures: Vol. 29, Transition in Eastern Europe, pp. 107-122.

The transition of various countries to socialism is giving birth to a constantly increasing diversity of concrete forms of implementation of the functions of the socialist revolution. At the same time, historical experience shows that the socialist revolution is characterized by certain universal regularities, so that it is a matter of principle, of vital importance, that a revolutionary Marxist party allow for them. Among these, above all, is the need for power to be in the hands of the working class (...) in alliance with all others who labor, the need for abolishing the socio-economic dominance of the capitalist class, and for the new authority to have the capacity to overcome any form of resistance by the class opponents of socialism while uniting the masses of the workers at large in the struggle for the building of the new society. Without the organization and cohesion of the laboring masses headed by the working class, and without converting them into the determining political force, a transition to socialism is impossible: this is the most important conclusion of Marxism-Leninism. This conclusion has found precise expression, with room for all possibilities, in the theory of the dictatorship of the proletariat as the political essence of the transition from capitalism to socialism. (shrink)

The policy adopted by the Twenty-fifth Congress of the CPSU on raising the quality of work and the effectiveness of social production means that work must be more highly organized and disciplined and that initiative and creative searching must be fostered. "The country sets as its goal enlargement of the real opportunities for citizens to apply their creative powers, abilities, and gifts and for comprehensive development of the individual.".

kn. 1. Poni︠a︡tti︠a︡ osvity: zmist ta predmetne pole -- kn. 2. Strukturno-funkt︠s︡ionalʹnyĭ analiz osvity -- k. 3. Ekzystent︠s︡iĭnyĭ prostir osvity -- kn. 4. Ukraïnsʹka osvita: istorii︠a︡ stanovlenni︠a︡, rozvytok, modernizat︠s︡ii︠a︡ -- kn. 5. Statti ta interv'i︠u︡.

В книге дается структурный анализ различий монотеистических и политических религий и обозначаются перспективы развития новейшего религиозного мировоззрения.

Algorithmic software for mathematical modeling of structural stability is considered, which is reduced to solving a partial generalized eigenvalues problem of sparse matrices, with automatic parallelization of calculations on modern parallel computers with graphics processors. Peculiarities of realization of parallel algorithms for different structures of sparse matrices are presented. The times of solving the problem of stability of composite materialsusing a three-dimensional model of "finite size fibers" on computers of different architectures are given. In mathematical modeling of physical and technical (...) processes in many cases there is a need to solve problems of algebraic problem of eigenvalues with sparse matrices of large volumes. In particular, such problems arise in the analysis of the strength of structures in civil and industrial construction, aircraft construction, electric welding, etc. The solving to these problems is to determine the eigenvalues and eigenvectors of sparse matrices of different structure. The efficiency of solving these problems largely depends on the effectiveness of mathematical modeling of the problem as a whole. Continuous growth of task parameters, calculation of more complete models of objects and processes on computers require an increase in computer productivity. High-performance computing requirements are far ahead of traditional parallel computing, even with multicore processors. High-performance computing requirements are far ahead of traditional parallel computing, even with multicore processors. Today, this problem is solved by using powerful supercomputers of hybrid architecture, such as computers with multicore processors and graphics processors, which combine MIMD and SIMD architectures. But the potential of high-performance computers can be used to the fullest only with algorithmic software that takes into account both the properties of the task and the features of the hybrid architecture. Complicating the architecture of modern high-performance supercomputers of hybrid architecture, which are actively used for mathematical modeling means a significant complication of efficient use of these resources in creating parallel algorithms and programs. here are problems with the creation of algorithmic software with automatic execution of stages of work, which are associated with the efficient use of computing resources, ways to store and process sparse matrices, analysis of the reliability of computer results. This makes it possible to significantly increase the efficiency of mathematical modeling of practical problems on modern high-performance computers, as well as free users from the problems of parallelization of complex problems. he developed algorithmic software automatically implements all stages of parallel computing and processing of sparse matrices on a hybrid computer. It was used at the Institute of Mechanics named after S.P. Tymoshenko NAS of Ukraine in modeling the strength problems of composite material. A significant improvement in the time characteristics of mathematical modeling was obtained. Problems of mathematical modeling of the properties of composite materials has an important role in designing the processes of deformation and destruction of products in various subject areas. Algorithmic software for mathematical modeling of structural stability is considered, which is reduced to solving a partial generalized problem of eigen values of sparse matrices of different structure of large orders, with automatic parallelization of calculations on modern parallel computers with graphics processors. The main methodological principles and features of implementation of parallel algorithms for different structures of sparse matrices are presented, which ensure effective implementation of multilevel parallelism of a hybrid system and reduce data exchange time during the computational process. As an example of these approaches, a hybrid algorithm of the iteration method in subspace for tape and block-diagonal matrices with a frame for computers of hybrid architecture is given. Peculiarities of data decomposition for matrices of profile structure at realization of parallel algorithms are considered. The proposed approach provides automatic determination of the required topology of the hybrid computer and the optimal amount of resources for the organization of an efficient computational process. The results of testing the developed algorithmic software for problems from the collection of the University of Florida, as well as the times of solving the problem of stability of composite materials using a three-dimensional model of "finite size fibers" on computers of different architectures. The results show a significant improvement in the time characteristics of solving problems. (shrink)