The Complexity in Sociological Theory: an Axiomatic Description
http://dx.doi.org/10.12988/ams.2013.35256 This article puts forth an axiomatic description of the complexity of an object of sociological investigation. The proposed axioms allow us to determine complexity within the framework of mathematical sociology such as the variational principle, which is formed relative to the state of the object of sociological investigation. On the basis of this principle we can conclude the equation of state, which coincides with the stationary forward Kolmogorov equation.
An attempt to critically analyze the claims of the theory of self-organization of complex systems (synergetics) to the interdisciplinary generalizations and the universal efficacy of its models is made in the paper. The grounds of transfer of synergetic models to different disciplinary fields are under discussion. It is argued that synergetics is rather a mental scheme or a heuristic approach to exploring the complex behavior of systems, than a universal key to solving concrete scientific problems. Some prospects of development and the possible future of synergetics within the next decades are estimated.
Some peculiarities of the phenomenon of transdisciplinarity in the modern science, its differences from interdisciplinarity and multidisciplinarity, are under consideration in the article. The methodological principles of transdisciplinary studies and new possibilities of synthesis of scientific knowledge based on these principles are studied. The theory of complexity, futures studies, cognitive science, and the eco-evo-devo-perspective connected with cognitive biology are regarded as the most significant fields of the modern transdisciplinary researches. It is shown that transdisciplinary researches will, by all appearances, define the character of science in the medium-term future.
В главе описываются особенности рецепции синергетики Германа Хакена в России и развитие этого междисциплинарного направления исследований рядом влиятельных российских научных школ.
The author argues on expediency and mutual conditionality of evolutionary changes in the nature and in society. In the article three major factors of the evolution are allocated, namely: the accident, the factor of coincidence of circumstances and the factor of acceleration of social evolution.
The phenomenon of communication as a manifestation of complexity of interacting creatures. Communication is considered not as a privilege of a human being; it is shown that it is rooted in the world of living nature, it has an evolutionary origins. Communicative complexity is exposed by such concepts as flexibility, constructing, intersubjectivity, participatory sense-making, empathy, synergy, mutual incorporation and co-emergence of creatures which enter the process of communication. Understanding of communication from the position of the conception of enactivism allows disclosing some substantial aspects of the constructivist character of communicative interaction.
The conference Philosophy, Mathematics, Linguistics: Aspects of Interaction 2014 (PhML-2014) is a sequel in the series of conferences intended to provide a forum for philosophers, mathematicians, linguists, logicians, and computer scientists who share an interest in cross-disciplinary research. The conference PhML-2014 is endorsed by the American National Committee of the Division of Logic, Methodology and Philosophy of Science (DLMPS) of the International Union of the History and Philosophy of Science (IUHPS), the Japan Association for Philosophy of Science, the Swedish National Committee for Logic, Methodology and Philosophy of Science.
The monograph is devoted to the consideration of complex systems from the position of the end the 21st century. The considerable breakthrough in the understanding of complex systems is comprehensively analyzed. Such a breakthrough is connected with the use of the newest methods of nonlinear dynamics, of organization of the modern computational experiments. The book is meant for specialists in different fields of natural sciences and the humanities as well as for all readers who are interested in the recent advancements in science.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.
This article is talking about state management and cultural policy, their nature and content in term of the new tendency - development of postindustrial society. It mentioned here, that at the moment cultural policy is the base of regional political activity and that regions can get strong competitive advantage if they are able to implement cultural policy successfully. All these trends can produce elements of new economic development.