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Philosophy of Sciences

2015 year, number 4

Number and time. Part I. Idea number of elementary and quantum of time

A.N. Spaskov1,2,3
1Institute of Philosophy of the National Academy of Sciences of Belarus, Minsk
2Sholokhov Moscow State University for the Humanities, Moscow
3Russian Institute for Advanced Study, Moscow
Keywords: натуральное число, арифметическая модель, темпорологическая структура, транзитивно-фазовая концепция времени, расслоенное время, natural numbers, arithmetic model, temporological structure, transitive-phase concept of time, bundle time


The paper deals with the nature of mathematical concepts, genesis of natural numbers and the temporal structure of consciousness. We analyze the arithmetic model of time and propose a new geometrical model of bundle time which is based on the hypothesis of independent time dimensions corresponding to external linear time and internal cyclic one.