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A coherent summary of 6 years’ research work at the ZKM Institute for Basic Research in Karlsruhe. Motto of the research, set between art and science, was "performative science”, a new research method that methodologically complements the natural sciences by means of a performative-artistic procedure. The book offers a theoretical, praxis-motivated discourse on the topic, strongly orientated towards philosophical hermeneutics but consisting to a great degree of concrete examples of application such as brain modelling, chaos research, artificial life and artificial intelligence. It provides a methodological bridge between science and art.