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简介：Intheintroductionapreliminaryconsiderationofthesenseofconcepts“set”,“structure”,“system”,and“model”,aswellasoftheconnectionbetweenthemisproposedandonthebasisofitsresultsthetaskofinvestigationofabstractbasesofsystem(inparticularreconsiderationofconcept“abstractset”),ofabstractstructure,abstractsystemandofS-Modelisformulated.Thefirstsectionisdevotedtoformulationofanapproachtoconstructionofaggregatetheoryregardedasananalogofmoderateconstructivesettheory:therelations“inclusion”and“equivalence”betweenaggregatesandtheoperationsonaggregates“union”,“intersection,“difference”and“compliment”areintroduced.Definitionoftheconcept“a-system”aswellasofitsa-structureonthespaceofaggregatesisdefined.AspecialattentionisshowntosimilarityandessentialdifferencebetweenaggregatetheoryandsettheoryaswellastothefactthatthefamousparadoxesofCantorandRussellintheCantor’ssettheorytakenoplaceintheaggregatetheory.FurtheravariantofCantor’ssettheorycalledrestricteddiscretesettheoryisconsidered.Thesecondsectionisdevotedtoformulationofanapproachtoconstructionofalgebraofa-systems.Attheendtheconceptofsystemofsuccessivesystems(SSS),isintroduced.

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