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GENERAL RELATIVITY BASED ON INTUITIONISTIC LOGIC
Guts A.K.
The article represents the theory gravity based on Kock-Lower's infinitosimal analysis. Transition from classical differential and integral calculus to Kock-Lower's analysis means the transition from the classical two-valued logic to intuitionistic logic. Set theory is not may already serve as a way of interpreting the objects of such a theory, and it is necessary to use the theory of smooth topoi. Topos models represent the Universe around us more multifaceted, multivariate consisting of an infinite variety of different many-dimensional "parallel" worlds which are endowed with new physical properties.
Keywords: general relativity, intuitionistic logic, infinitosimal, smooth infinitosimal analysis, topoi, intuitionistic theory of gravitation, principle of equivalence, antigravitation, cosmology.
UDC: 530.12
PACS: 04.20.Cv
DOI: 10.17238/issn2226-8812.2018.4.70-91
Please cite this article in English as:
Guts A.K. General Relativity based on intuitionistic logic. Space, Time and Fundamental Interactions, 2018, no. 4, pp. 70-91.