Conference material: "Proceedings of the 4th International Conference “Futurity designing. Digital reality problems” (February 4-5, 2021, Moscow)"
Authors:Voytsekhovich V.E.
Mathematics of the future
Abstract:
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.
Keywords:
mathematics, crisis, immobility, movement, philosophy of movement, mathematics of movement and development