The topological project is derived and subsidiary in relation to my program of Transcultural Humanities. The first premise of the necessity of topological approach is derived from the concept of emergence. Transcultural reality constitutes a new level of complexity in the symbolic organization in comparison to cultures and the cultured condition of man. This new complexity requires new tools. The idea of seeking inspiration in certain branches of contemporary mathematics is a response to this necessity of building new paradigms for transcultural theory and criticism.
This search for new tools, complementary in relation to the textual mood of reflection, has been initiated already by the classical post-modernism. The heritage of Guattari, Deleuze and Derrida, established by their attempts at introducing visual operations into philosophy, is to be resumed as a line of research and reflection.
This new visual mood is iconoclastic and anti-mimetic. It breaks through the dominant tradition of the European art, based on mimetic representation, in order to reestablish minor zones of visual experience. At the same time, giving a new meaning to the visualness typical for the mathematical paradigms of rendering concepts and relationships, it fosters the unification of art, science and humanities.
CURRENT PROGRESS IN THE RESEARCH PROJECT "MATHEMATICAL INSPIRATIONS FOR HUMANITIES" >>>