Viktor Vaganyan

Matematika S Parametrom Vremeni: Matematiko-filosofskoe Issledovanie Viktor Vaganyan Russian edition

V monografii sformulirovana novaya kontseptsiya po osnovaniyam matematiki ? matematicheskiy realizm. Opredeleny nachal'nye ponyatiya sootvetstvuyushchey matematiki ? matematiki s parametrom vremeni. Pervye zhe vyvody primeneny k izvestnym problemam ? probleme refleksivnykh paradoksov, probleme parallel'nykh, probleme Ferma i probleme prostykh chisel. Polucheny original'nye resheniya i istolkovaniya. Privedeny interesnye primeneniya v fizike. Rassmotreny takzhe metodicheskie i filosofskie voprosy. Izdanie adresovano matematikam, logikam, filosofam, fizikam-teoretikam, vsem, kto zanimaetsya osnovaniyami i fundamental'nymi problemami matematiki. The monograph formulated a new concept on foundations of mathematics ? mathematical realism. The initial concepts of the relevant mathematics ? mathematics with a parameter of time ? were determined. The first conclusions of the new mathematics are applied to the known problems ? the problem of reflexive paradoxes, problem of parallels, the problem of Ferma and the problem of prime numbers. Original solutions and interpretations have been obtained. Interesting applications in physics are presented. The methodological and philosophical questions are also considered.