The aim of the paper is the presentation of the discussion on innovativeness,risk and paradigms changes with regards to paradigm in finance.The author starts with the description of globalization process that supported by science and technology affected socio-economic development but also intensified phenomena indicating symptoms of chaos.Second part focuses on the innovativeness and risk associated with innovativeness activity.Then the Kuhn\'s theory of paradigm is confronted with nowadays world of growing chaos with regards to finance.The conclusions is that innovativeness of societies is not determined by how much people representing the world of science but how the whole society refer to science.In terms of financial paradigm a worrying phenomenon of disappearance of ethical principles is witnessed.