The philosophy of nature, which encompasses the comprehensive study of the natural world, became intimately linked with the interdisciplinary approach of self-organization theory, or synergetics, as it was revealed in the latter third of the 20th century. This novel understanding of reality and its connection to synergetics becomes evident when comparing the panlogism of G.W.F. Hegel and the dialectical materialism of F. Engels, both based on 19th-century scientific achievements, with contemporary issues in natural science. This comparison is justified as the worldviews formulated by Hegel, Marx, and Engels significantly influenced the development of civilization in the 20th century. Similarly, synergetics appears poised to become the cornerstone of the emerging scientific worldview. The philosophical legacies of these classical thinkers play a crucial role in shaping the theory of self-organization. Hegel examined the question of self-development within complex systems and analyzed culture through this perspective, consequently, he can be considered a precursor to synergetics. His viewpoint on the philosophy and methodology of science as a means of reflection within the domain of knowledge remains influential. The evolutionary approach, which Engels regarded as one of the major accomplishments of 19th-century science, now serves as the foundation for numerous contemporary scientific disciplines, including synergetics itself. The philosophical approach to seeking elementary entities, from which the properties of the whole could be discerned, emerged as the driving force in the development of 20th-century science. Concurrently, the challenges confronting humanity have significantly transformed the realm of scientific knowledge. Emphasis has shifted toward the laws governing the interactions of elementary entities, as well as the associated issues of structure, chaos, and self-organization. The roles of mathematical modeling, intra-scientific reflection, and large-scale projects have proven to be more critical than initially anticipated by the classical philosophers. The ongoing humanitarian and technological revolution necessitates new responses to the profound and significant questions originally posed by Hegel and Engels.
The modern crisis of scientific knowledge is manifested in the overdifferentiation of knowledge, the loss of a unified picture of the world, dead ends in the development of various sciences. A way out of the crisis is possible when scientists master the synergetic style of thinking, i.e. thinking in “moving thought forms”. The paradigm of Parmenides, accepted in scientific thinking, is gradually being replaced by the paradigm of Heraclitus. The thesis “The One is essentially motionless” is replaced by the thesis “Everything is movement”. The new rationalism will require a revision of many outdated traditions of scientific knowledge. We consider these problems in the context of the development of logic and applied mathematics. Applied mathematics and its transformation into an industry of strategic importance are playing a key role in changing the paradigm of science.
At present, there is a transition under way from the industrial to the post-industrial phase of civilization, from the world of machines to the world of people. This transition is happening very quickly, in the form of a humanitarian and technological revolution. This makes even more urgent the problem of building a bridge between humanitarian and natural science culture, which is closely related to the development of interdisciplinary approaches.In its anniversary report, the Club of Rome “Come On!” put forward the idea of a New Enlightenment, intended to change the meanings, values, image of the future, the imperatives of development of the entire world civilization. The article presents potential directions of the new educational project. There is shown that they are associated with acquisition of the integrity of people, with their harmonious development in rational, emotional and intuitive spaces. This is illustrated by the development of modern mathematics, in which the ideas of harmony, beauty, as well as, in many parts, its approximation to art, are beginning to play an increasingly important role.The new era allows for a reinterpretation at a new level of the concept of “Homo Ludens” by J. Huizinga, an outstanding cultural researcher. The play is acting as a basis for self-organization, for culture formation, science and technology development. The great challenges faced by humanity require a change of world outlook. The article shows that, at a new level, there is occurring a return to the ideas of Russian cosmists and, in particular, to the concept of all-unity by V.S. Solovyov.At the present turn, a choice is being made between the New Enlightenment and the New Middle Ages. At the point of bifurcation, which is being passed by humanity now, a key role can be played by the culture and education that correspond to the new realities. The article suggests approaches that will allow Russia to avoid the future shock and to be a subject rather than an object of the changes associated with the New Enlightenment.
Mathematics has entered a crisis of complexity. The main reason is the use of immutable concepts according to the law of identity of Aristotle's logic. The evidence has become super-long, unverifiable. Overcoming the crisis is possible in the transition from immutable concepts to "mobile" ones, in the generalization of the law of identity. In modern mathematics, there are prerequisites for such a transition – in qualitative theory, probability theory, algorithm theory, and foundations. The future of mathematics lies in the development of categories as transformative concepts.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.