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I analyze the new emerging role of mathematics for extracting structure from data. This role is different from the traditional role of mathematics as a tool for other sciences. Each such science had provided a theoretical framework in which experiments acquired meaning, with which the quality of data could be assessed and which could be explored with the formal methods of mathematics. The challenge for mathematics now is to handle data without such theoretical guidance from other disciplines. This calls for new principles that are structural, abstract and independent of specific content. Mathematics then is no longer the tool of science, but becomes the science of tools.

Object Oriented Models vs. Data Analysis – Is This the Right Alternative?