Philosophy and mathematics: convergence of natural scientific and sociohumanitarian knowledge

The paper considers various aspects of a systemic crisis in the modern scientific knowledge. A possibility of its overcoming is associated with the need to pass to a more general position in scientific knowledge by synthesizing philosophy and mathematics. The paper identifies common features in philosophy and mathematics: non-analyticity (irreducibility to science) and the ability to overtake time and ask the “eternal questions”. It formulates conditions of other approaches to the future. They include synthetic worldview, transition from the linear time in classical science to the cyclical time of nature and man, general knowledge of the human dimensionality establishing importance for the development of thinking, intuition, meanings, self-organization and transdisciplinarity as the basic principles of the new convergent knowledge. Discovery of bifurcations, probabilistic approach, reflexive processes, introduction of the concept of a possibility as opposed to chance, creation of physical mathematics and qualitative consideration of a number are the stages in mathematics development. They are interpreted as signs of expanding ideas about time towards supplementing its linear understanding with the cyclical one and elements of the new mathematics and new philosophy that allow avoiding the “Tower of Babel syndrome”, satisfy the society demand for new simplicity and New Enlightenment. Besides, they would assist a person in retaining a controlling position in relation to the artificial intelligence.

EDN DGTPPS

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