In this paper, the authoressI defends the thesis that it is impossible to resolve the problem of rationality of science on a meta-metalevel, which practically means that the debate between classical and non-classical conceptions of rationality is unable to solve the problem but generates new paradoxes. Instead of going endlessly 'up', it would be better to go 'down' and ask, if philosophers of science properly recognized the object level on which scientific practices took place. If the debate between so called classical and non-classical conceptions of rationality of science took the form of radical antinomy, it means that it would not be epistemically important anymore and it could not be continued in this form. If so, it is time for a new solution, a new Copernican turn.
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