Purpose: To develop a realistic view that integrates the idea that knowledge is a constructive process. Problem: In the controversy between realism and constructivism, both sides have often misunderstood each other. Many realists still consider constructivism as a kind of idealism. And constructivists often assume that realists believe they have direct access to things as they really are. It seems necessary to clarify the statements of either side, to rule out some misunderstandings, and then to discuss anew the central epistemological (...) problems. Solution: A version of realism is proposed that takes into account constructivist ideas and objections. Realism as presented here is not opposed to the idea that cognition is a constructive process. According to this view, reality is something we presuppose in any attempt to attain knowledge though we can never be certain how things really are. Having knowledge amounts to the preliminary judgment that some hypotheses seem to correspond to reality better than others. In addition, it is demonstrated that a constructivist position that reduces the claim to knowledge even further does not solve the problems better but creates new ones. Finally, Mitterer's non-dualizing view of descriptions is discussed. It is argued that description necessarily presupposes something different from language. (shrink)

Издание сдержит: Специфика изучения научного и философского наследия Е. И. Рериха и Н. К. Рериха. Духовная революция в России и космическое мышление; Дух как объективная реальность и познавательная сила и др.

Nonlocal reaction–diffusion equations describe various biological and biomedical applications. Their mathematical properties are essentially different in comparison with the local equations, and this difference can lead to important biological implications. This review will present the state of the art in the investigation of nonlocal reaction–diffusion models in biomedical applications. We will consider various models arising in mathematical immunology, neuroscience, cancer modelling, and we will discuss their mathematical properties, nonlinear dynamics, resulting spatiotemporal patterns and biological significance.

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)

A collection of essays discussing the philosophical perspectives of thinking and education, this book considers such subjects as the development of education, the role of micro-computers in science education and theories of education.

The author examines epistemological aspects of global evolutionism (Big history) concept which is getting a more and more essential subject in the science of the XXIst century. This concept inserts human history into the holistic evolution process of the Universe. The paper deals with the analysis of the global evolutionism concept, subject-object relations in the investigation realm, the problem of a language choice for global evolutionism description, as well as Big history modern knowledge, including its validity criteria.

ch. 1. Informat︠s︡ionnye osnovy sistemy znaniĭ -- ch. 2. Informat︠s︡ionnye osnovy sinteza.