THE PHILOSOPHICAL FOUNDATIONS OF ALTERNATIVE SET THEORY

摘要: This paper deals with philosophical fundamentals of Alternative Set Theory and its relation to classical mathematics. The key problem is a possibility mathematize the phenomenon horizon corresponding infinity. Serious criticism set theory given, especially in connection understanding this phenomenon. between natural infinity (studied by AST) presented difference AST Non-standard analysis discussed. At end, fundamental notions are briefly characterised, specifically that sets, classes, semisets, extended universe. encompassing vagueness (unsharpness) AST, concepts static dynamic also